Algebra - Blank Tests Volume 1

CHAPTER FIVE
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Quiz 5.1D Name __________________________

(1) Consider the sequence 2, 7, 12, 17, … Find a1, a3, a5, and a11

d=
a1 = ___________ term = ___________
a3 = ___________ term = ___________
a5 = ___________ term = ___________
a11 = ___________ term = ___________

(2) Consider the sequence 28, 26, 24, 22, … Find a1, a2, a5, and a12

d=
a1 = ___________ term = ___________
a2 = ___________ term = ___________
a5 = ___________ term = ___________
a12 = ___________ term = ___________

(3) Consider the sequence 1, 9, 17, 25, … Find a1, a3, a5, and a15

d=
a1 = ___________ term = ___________
a3 = ___________ term = ___________
a5 = ___________ term = ___________
a15 = ___________ term = ___________

(4) Consider the sequence 4, 8 12, 16, … Find a1, a2, a5, and a9

d=
a2 = ___________ term = ___________
a4 = ___________ term = ___________
a6 = ___________ term = ___________
a16 = ___________ term = ___________

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Quiz 5.2 E Name _________________________________

For each set of data, write the ordered pairs; indicate the domain and range; and
determine if the relation is a function.

(1)

Ordered Domain Range Function
pairs
xy  Yes
37  No

48

59

6 10

(2) Ordered Domain Range Function
pairs
1  Yes
2 2  No
3

(3)

Ordered Domain Range Function
pairs
 Yes
 No

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Quiz 5.2 E (cont.) Name _________________________________

(4)

Ordered Domain Range Function
pairs
xy  Yes
35  No
47
57
59

(5) Ordered Domain Range Function
2 pairs
 Yes
1  No
2
3

(6)

Ordered Domain Range Function
pairs
 Yes
 No

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5.3 D Name ____________________________

Write an equation to describe the relationship indicated by the ordered pairs given
in each table.

(1) Equation: _______________________ (4) Equation: _______________________
xy xy
35 1 10
47 11 20
59 21 30
6 11 31 40

(2) Equation: _______________________ (5) Equation: _______________________
xy xy
25 21 14
20 16 3 10
15 11 5 16
10 6 7 22

(3) Equation: _______________________ (6) Equation: _______________________
xy xy
10 5 9 18
16 8 12 24
18 9 15 30
20 10 25 50

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Quiz 5.4 D Name ____________________________

In each situation described below, identify the quantity that is the independent
variable and the quantity that is the dependent variable.

(1) Air density decreases as altitude increases.

Independent variable:

Dependent variable:

(2) The older the antique car, the more expensive it is.
Independent variable:
Dependent variable:

(3) More preparation is necessary to compete in longer marathons.

Independent variable:
Dependent variable:

(4) The number of calories increases as the size of the piece of cake gets larger.

Independent variable:
Dependent variable:

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Quiz 5.5 D Name ____________________________
Find the value of x in the given function: Find f(1) =

(1) Equation: f(x) = 2x − 3 Find f(5) =

(2) Equation: f(x) = 8 Find f(4) = Find f(−3) =

(3) Equation: f(x) =5 + 2 Find f(−1) = Find f(3) =

(4) Equation: f(x) = 1 + 4 Find f(6) = Find f12) =
2

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Quiz 5.7 E Name _________________________________
BC
A

Which scatter plot above indicates
(1) no correlation ________________
(2) a negative correlation ________________
(3) a positive correlation ________________

Sketch a graph for each situation described below:
Sylvester the cat, Part 1

(3) Sharen waited for the bus for a few minutes (A). When the bus arrived, she got on
and headed toward the park (B). Sharen passed her stop and had to get off and wait
for a few minutes for a bus going back in the opposite direction (C). This bus came,
and she got on and rode back to the park (D).

DISTANCE

A B C DC
TIME

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Quiz 5.7 E (cont.) Name _________________________________

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(5) A

(6) B

(7) C

(8) D

(9) A three-situation sketched graph is given to you.
Write a realistic scenario that could fit this graph.

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(10) A

(11) B

(12) C

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Chapter 5 Review

C5 Review Name ____________________________

Consider the sequence: 29, 25, 21, 17, …

Find: (1) d = __________________

(2) a1 = _______ (3) a4 = _______ (4) a6 = _______ (5) a10 = _______

Consider the sequence: 5, 11, 17, 23, …

Find: (6) d = __________________

(7) a1 = _______ (8) a3 = _______ (9) a5 = _______ (10) a10 =
_______

Fill in the table, mapping diagram, and graph for the ordered pairs of this relation:
(2, 4), (3, 7), (3, 8), (4, 10)

(11) Table (12) Mapping Diagram (13) Graph

(14) This relation (is / is not) a function. Circle one.

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C5 Review (cont.) Name ____________________________

Fill in the table, mapping diagram, and graph for the ordered pairs of this relation:
(1, 3), (2, 5), (3, 7), (4, 8)

(15) Table (16) Mapping Diagram (17) Graph

(18) This relation (is / is not) a function. Circle one.

(19) Which of the following represent functions?

A. B. C. D.

E. F. G. H.

Answer: ____________________________________________________ List all that apply.
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C5 Review (cont.) Name ____________________________

For each set of ordered pairs, find the equation:

(20) (1, 8), (2, 9), (3, 10), (4, 11)

equation: _______________________________________________________

(21) (2, 6), (4, 12), (5, 15), (10, 30)
equation: _______________________________________________________

(22) (10, 5), (9, 4), (8, 3), (7, 2)
equation: _______________________________________________________

(23) (2, 5), (3, 7), (4, 9), (5, 11)
equation: _______________________________________________________

(24) (4, 16), (5, 20), (6, 24), (7, 28)
equation: _______________________________________________________

(25) (40, 31), (30, 21), (20, 11), (10, 1)
equation: _______________________________________________________

State the range and domain for the set of ordered pairs: (1, 5), (2, 7), (3, 10), (4, 12)
(26) domain: __________________________________ (27) range: _____________________________________

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C5 Review (cont.) Name ____________________________

State the range and domain for the set of ordered pairs: (2, 12), (3, 15), (4,18), (5,24)

(28) domain: __________________________________ (29) range: _____________________________________

In each example below, identify the independent and dependent variables:
(30) As you go deeper in the ocean, the water pressure increases

independent variable: _____________________________________________________________
dependent variable: _____________________________________________________________

(31) The more insulation built into a house, the lower its heating bill.
independent variable: _____________________________________________________________
dependent variable: _____________________________________________________________

(32) On musical instruments, as the length of the string increases, the bass note gets richer.
independent variable: _____________________________________________________________
dependent variable: _____________________________________________________________

(33) More algae will grow where there is more sunlight.
independent variable: _____________________________________________________________
dependent variable: _____________________________________________________________

f(x) = 4 + 6 Find: (35) f(8) = _________________
(34) f(−5) = _________________

f(x) = 2 − 12 Find: (35) f(−6) = _________________
(34) f(10) = _________________

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C5 Review (cont.) Name ____________________________

Which of the above scatterplots (A – F) indicate:
(38) a positive correlation: ________________________________________________
(39) a negative correlation: ________________________________________________
(40) no correlation: ________________________________________________
Sketch the graph for the following situation:
(41) Ricardo left school and started walking toward home (A). After a while, he realized
that he had forgotten his algebra homework at school, so he turned around and jogged back
to school (B). After he retrieved his homework, he rested on the front steps of the school
(C). Then he ran back home (D).

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C5 Review (cont.) Name ____________________________

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(42) A

(43) B

(44) C

(45) D

Sketch the graph for the following situation:

(46) Miguel took off from home on his skateboard (A). After a while, he realized that a
wheel was loose, so he stopped and tried to fix it (B). Unable to fix it, he had to walk back
home (C).

DISTANCE

AB C
TIME

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C5 Review (cont.) Name ____________________________

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(47) A

(48) B

(49) C

(50) A five-situation sketched plot is given below. Write a
realistic scenario that could fit this graph.

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(51) A

(52) B

(53) C

(54) D

(55) E

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C5 Review (cont.) Name ____________________________

(56) A three-situation sketched plot is given
below. Write a realistic scenario that could fit
this graph.

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(57) A

(58) B

(59) C

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CHAPTER 5 TEST
Name: _____________________________________________

Consider the sequence: 2, 7, 12, 17, …

Find: (1) d = __________________

(2) a1 = _______ (3) a3 = _______ (4) a6 = _______ (5) a10 = _______

Fill in the table, mapping diagram, and graph for the ordered pairs of this relation:
(1, 2), (2, 4), (3, 6), (4, 8)

(6) Table (7) Mapping Diagram (8) Graph

(9) This relation (is / is not) a function. Circle one.

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C5 TEST (cont.) Name ____________________________

(10) Which of the following represent functions? D.

A. B. C.

Answer: ____________________________________________________ List all that apply.
For each set of ordered pairs, find the equation:
(11) ((5, 2), (6, 3), (7, 4), (8, 5)

equation: _______________________________________________________

(12) (2, 12), (3, 18), (4, 24), (5, 30)
equation: _______________________________________________________

(13) (1, 5), (2, 6), (3, 7), (4, 8)
equation: _______________________________________________________

State the range and domain for the set of ordered pairs: (3, 9), (4, 16), (5, 25), (6, 36)
(14) domain: __________________________________ (15) range: _____________________________________

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C5 TEST (cont.) Name ____________________________

In each example below, identify the independent and dependent variables:

(16) The more it rains, the taller the grass.

independent variable: _____________________________________________________________

dependent variable: _____________________________________________________________

(17) The temperature increases as you move closer to the equator.
independent variable: _____________________________________________________________
dependent variable: _____________________________________________________________

f(x) = 3 − 5 Find: (19) f(−2) = _________________
(18) f(4) = _________________

A. B. C.

Which of the above scatterplots (A – C) indicate:
(20) a positive correlation: ________________________________________________
(21) a negative correlation: ________________________________________________
(22) no correlation: ________________________________________________

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C5 TEST (cont.) Name ____________________________

Sketch the graph for the following situation:

(23) Ashley lost her skateboard and slowly retraced her steps along a path leading away
from her home (A). She then stopped and glanced around (B). As luck would have it, she
spotted the skateboard alongside the path. Ashley hopped on the skateboard and returned
home in record time(C).

DISTANCE

AB C
TIME

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(24) A

(25) B

(26) C

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C5 TEST (cont.) Name ____________________________

(27) A three-situation sketched plot is given C
below. Write a realistic scenario that could fit
this graph.

To explain the graph, use the chart below:

Segment Distance: Slope or slant Slant: Sketch Line
increase, of the line: positive,
decrease, or none, moderate, negative or none
no change or steep

(28) A

(29) B

(30) C

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CHAPTER SIX
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Quiz 6.2F Name_________________________
Determine the slopes of the following lines:

Line A y Line B y

xx

Line C y Line D y

x
x

Line E y Line F y

xx

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Quiz 6.2E (cont’d) Name_________________________
Determine the slopes of the following lines:

y y

Line G Line H

x x

Line I y y
x
Line J

x

Line K y y

Line L

x x

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Quiz 6.4F Name_________________________

Find the slope of the line connecting the two points. Check with the graph. Two
lines should be graphed on the same set of axes.

y

1) (−6, −1) and (9,4)

2) (−2,8) and (6, −4) x

3) (−2,4) and (3, −6) y
4) (−5, −5) and (10,4) x

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Quiz 6.4F (cont’d) Name_________________________
5) (−3,-7) and (1,9) y
6) (−6,6) and (9, −4)
x

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Quiz 6.6D Name_________________________
Graph and label each pair of lines on the same axis. y

A. y = 2 − 3
5

m=

b= ( , )

B. y = − + x
m=
b= ( , )

C. y = − + y
x

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b= ( , )

D. y= 1 −


m=

b= ( , )

Quiz 6.6D (cont’d) Name_________________________
E. y = 3x− y
m=
b= ( , ) x
F. y = − x+2 y
m=
b= ( , ) x

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m=
b= ( , )

H. y = x−1
m=
b= ( , )

Quiz 6.7E Name_________________________

Write the equation in slope-intercept form for each line graphed: 3
y

2

1
x

1) 2)
m= m=
b= ( , ) b= ( , )
equation: equation:

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m=
b= ( , )
equation:

Quiz 6.7 E (cont’d) Name_________________________
y

7

6 x
5
4)
m= 4
b= ( , )
equation: 6)
m=
5) b= ( , )
m= equation:
b= ( , )
7)
equation: m=
b= ( , )
equation:

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Quiz 6.9 D Name_______________________________

I. Graph each equation using intercepts and then use the graph to find the y-values
for the given x-values.

1) 3x – 6y = −36

x-intercept =

y-intercept =

when x = −8, y = __________

2) 5x – 4y = 40
x-intercept =
y-intercept =

when x = 4, y = __________

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Quiz 6.9 D (cont’d) Name_______________________________
3) 3x – 4y = −24
x-intercept =
y-intercept =

when x = −4, y = __________

II.

Paco has $30 to spend on treats for his class at school. He is going to buy some
cookies for $3 each and some cupcakes for $5 each. The following linear equation
describes the number of cookies (x) and the number of cupcakes (y) that Paco can
buy for $30. Graph a line representing the numbers of cookies and cupcakes Paco
can buy for $30.

A) Let x = _______________________________________________________________

Let y = _______________________________________________________________

B) Equation: ________________________________________________________

C) Intercepts: x-intercept: (______, ______) y-intercept: (______, ______)

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Quiz 6.9 D (cont’d) Name_______________________________
D) Graph:

___________________

________________________

E) Using the graph, predict the number of cupcakes Paco could buy with 5 cookies.

F) Does it make sense to extend this graph outside of Quadrant I? Explain.

G) Is it reasonable to have fractional values for x and y? Explain.

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Quiz 6.10 D Name_________________________
Standard Form Slope-Intercept Form

1) 12x − 3y = 18

2) 2x + 10y = 30

3) 4x − 12y = −36

4) 16x + 4y = 12

5) 24x + 6y = −48

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Quiz 6.10 D (cont’d) Name_________________________
Standard Form
6) Slope-Intercept Form
y = 5x − 7
7)
y = −3x + 2
8)
y = − 1 x – 8
9) 2

10) y = − 1 x + 6
5

y= 2 x −5
3

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Quiz 6.12 D Name_________________________

Use the given information to determine the equation of the line described in slope-

intercept form and standard form:

1. The line goes through the point (–7, –4), m = 3.

2. The line goes through the point (4, 9), m =

3. The line goes through the point (9, –2), m = –31.

4. The line goes through the point (–3, –2), m = 0

5. The line goes through the point (2, 5), m = – 2

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Quiz 6.12 D (cont’d) Name_________________________

Use the given information to determine the equation of the line described in slope-
intercept form and standard form:

6. The line goes through the points (–7, 5) and (–7, –2)

7. The line goes through the points (4, 3) and 9, –7)

8. The line goes through the points (–4, 5) and (–1, 5)

9. The line goes through the points (5, –2) and (9, 10)

10. The line goes through the points (6, 5) and (–2, 1)

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Quiz 6.13 C Name_________________________

Find the equation of each line described in both slope-intercept form and standard

form.
1. A line through the point (6, 5) and parallel to the line with equation =
3 − 4

2. A line through the point (7, −8) and parallel to the line with equation =
−4

3. A line through the point (6, 2) and parallel to the line with equation =

− 1 − 2
3

4. A line through the point (3, −9) and parallel to the line with equation = 7
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Quiz 6.13 C (cont’d) Name_________________________

Find the equation of each line described in both slope-intercept form and standard

form.
5. A line through the point (−9, 5 ) and parallel to the line with equation =
3 + 1

6. A line through the point (−8, 3) and perpendicular to the line with equation
= 2 − 9

7. A line through the point (7, −4) and perpendicular to the line with
equation = 1

8. A line through the point (4, −7) and perpendicular to the line with equation

= − 1 − 2
3

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Quiz 6.13 C (cont’d) Name_________________________

Find the equation of each line described in both slope-intercept form and standard

form.
9. A line through the point (6, −2) and perpendicular to the line with
equation = 5

10. A line through the point (3, 5) and perpendicular to the line with equation
= −3 + 8

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Chapter 6 Review

y

Find the slope of each 4 5
line: 21 x

1) _______________ 3 6

2) _______________ 142 | P a g e
3) _______________
4) _______________
5) _______________
6) _______________

Given two points on the
line, find the slope of the
line:
_______________ 7) (2, 8) (5, 6)

_______________ 8) (−7, −12) (−5, −2)

_______________ 9) (3, −8) (3, 2)

_______________ 10) (2, −10) (6, −7)

_______________ 11) (5, −1) (6, −1)

_______________ 12) (7, −5) (3, 3)

C6 Review (cont’d) Name ________________________

Determine the intercepts of the lines whose equations are given. Then graph and x
label the lines using those intercepts. Graph both lines on the same axis.

y
13) 7 − 14 = −28

x-intercept: ____________
y-intercept: ____________

14) 4 − 6 = 24
x-intercept: ____________
y-intercept: ____________

Determine the equation in slope-intercept form for each line graphed.

15) ___________________ y
1 17
5

16) ___________________ 16

17) ___________________ 18
19 x

18) ___________________

19) ___________________ 20
20) ___________________

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C6 Review (cont’d) Name ________________________
y
Graph and label the lines below on the same axes:

21) = 2 + 4
3

22) = −4

23) = −3 + 5

24) = 2 − 2 x
5

25) = 3

26) = − 1 − 4
2

27) Arnie needs to buy movie tickets ($12 each) and amusement park passes ($10
each) to use as prizes at his fundraiser. He has $120 to spend. Graph the line
that represents the numbers of movie tickets and amusement park passes that
Arnie can buy.

A. Let x = _______________________________________________________________
Let y = _______________________________________________________________

B. Equation: ________________________________
C. Intercepts: x-intercept: (______, ______)

y-intercept: (______, ______)
D. Graph the equation:
E. Using the graph, predict the number of amusement

Park passes Arnie can buy along with 5 movie tickets.

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C6 Review (cont’d) Name ________________________

Write each equation below in slope-intercept form.

29) 4 + 7 = −28 ___________________________________

30) 6 − 5 = 30 ___________________________________

Write each equation below in standard form.

31) = − 1 − 8 ___________________________________
2

32) = 1 + 7 ___________________________________
4

Write the equation of each line described below in point-slope form.
33) slope −2 and contains point (−3, 5) ___________________________________
34) slope 4 and contains point (2, −7) ___________________________________

35) The point-slope form for the equation of a line is − 9 = 1 ( + 4)
2

The slope of this line is ____________________________________

One point on the line is _________________

36) The point-slope form for the equation of a line is − 2 = 3 ( + 7)
4

The slope of this line is ____________________________________

One point on the line is _________________

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C6 Review (cont’d) Name ________________________

Find the equation of each line described below in slope-intercept form and standard
form:
37) m = −4 and line goes through (−3, 6)

Slope-intercept form: _________________________________

Standard form: ________________________________

38) m = and line goes through (−8, 1)
Equation: _________________________________

39) m = 2 and line goes through (5, −3)
Slope-intercept form: _________________________________
Standard form: ________________________________

40) m = 0 and line goes through (2, 9)
Equation: _________________________________

41) m= 1 and line goes through (−8, 5)
4

Slope-intercept form: _________________________________

Standard form: ________________________________

42) m= 1 and line goes through (20, −10)
5

Slope-intercept form: _________________________________

Standard form: ________________________________

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C6 Review (cont’d) Name ________________________

43) line goes through (−3, 2) and (−9, 6)
Slope-intercept form: _________________________________
Standard form: ________________________________

44) line goes through (7, 15) and (2, 0)
Slope-intercept form: _________________________________
Standard form: ________________________________

45) What is the slope of the line parallel to the line with equation = −5 + 2 ?
Slope (m): _________________________________

46) What is the slope of the line perpendicular to the line with equation
1
= − 2 − 3?

Slope (m): _________________________________

47) What is the slope of the line perpendicular to the line with equation
= −3 + 5?

Slope (m): _________________________________

48) line goes through (4, −3) and is parallel to the line with equation = 1 − 8
2

Slope-intercept form: _________________________________

Standard form: ________________________________

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C6 Review (cont’d) Name ________________________

49) line goes through (5, 9) and is parallel to the line with equation = −4 − 1
Slope-intercept form: _________________________________
Standard form: ________________________________

50) line goes through (2, −6) and is perpendicular to the line with equation
= −2 + 3
Slope-intercept form: _________________________________
Standard form: ________________________________

51) line goes through (6, −7) and is perpendicular to the line with equation
1
= 3 + 11

Slope-intercept form: _________________________________

Standard form: ________________________________

52) Do the following sets of ordered pairs form functions?

A. xy B. C. D.
xy 23
1 16 46 xy xy
4 14 89 45 13
7 12 14 12 8 10 25
10 10 12 15 38
16 20 4 12
yes no
yes no yes no yes no

52) The value of y varies directly with x.
A. If = 30 when = 5, find y when = 8: = _________________

B. If = 6 when = 12, find y when = 24: = _________________

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C6 Review (cont’d) Name ________________________

C. If = 45 when = 9, find y when = 12: = _________________

D. If = 5 when = 15, find y when = 27: = _________________

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