Algebra 1 G9

13. Last year, Conner paid 15% of his earnings in federal Constructed Response
taxes. He paid $3000. Jose also paid 15% of his earnings
in federal taxes, but he paid $3600. How much more 1 7. Some two-lane rural roads in Texas have a speed limit
did Jose earn than Conner? of 75 mi/h. Convert this speed to km/h. Round to the
nearest whole number. (1 mi ≈ 1.6 km)
$4000 $20,000
1 8. When Paige left middle school and entered high
$6000 $24,000 school, her class size increased by 225%. There were
56 students in her middle school class. How many
1 4. The table shows the price of a bus Miles Price students are in her high school class?
ticket based on the number of 100
miles traveled. Which equation 150 $50 1 9. The perimeter of a rectangle is given by the equation
represents the relationship 200 $70 2w + 33 = 54. What is w, the width of the rectangle?
between the ticket price p and the 250 $90
number of miles traveled m? $110 20. Pablo can wash 6 cars in 40 min. At this rate, how
many cars can Pablo wash in 4 h?
p = 2m
21. A student performs an experiment to determine the
p = 0.5m boiling point of ethyl alcohol to be 75°C. The accepted
boiling point of ethyl alcohol is 78°C. What is his
p = 2m + 10 percent error? Round to the nearest tenth.

p = 0.4m + 10 2 2. The cost for using a phone card is 35 cents per call plus
25 cents per minute. Write an expression for the cost of
1 5. During a trip, Josh recorded the amount of time it took a call that is n minutes long. A certain call costs $3.60.
him to travel the distances shown in the table below. How many minutes long was the call? Show your work.

Time (hours) 2 57 8 23. Travis sells black and white photos of cities across the
country. Each photo’s width is half its height. Write an
Distance (miles) 60 150 210 240 equation to represent the area A of a photo given its
height h. Use this equation to find the area of a photo
Which equation represents the relationship between that is 4 in. tall.
distance d and time t?
24. Carroll has a piece of fabric that is 4 yd long to make
d = 30t d = 30 + t curtains. Each curtain requires a piece of fabric that is
16 in. long. How many curtains can Carroll make?
t = 30d t = d + 30
2 5. A rental car company charges $25.00 per day plus $.30
1 6. A stepped-out solution is shown below. for every mile the car is driven. Dale rents a car while
his own car is being repaired, and he only drives it to
3(3x - 1) - 3(5x - 3) = 4 and from work each day. Dale drives 7 mi each way to
and from work. Write an expression to represent Dale’s
Step 1 9x - 3 - 15x + 9 = 4 cost of renting a car for d days. Dale rents the car for
Step 2 -6x + 6 = 4 4 days. How much does Dale owe for the rental?

Step 3 -6x + 6 - 6 = 4 - 6

Step 4 -6x = -2

Step 5 - 6x = -2
Step 6 -6 -6
1
x = 3

Which property justifies Step 1?

Division Property of Equality

Subtraction Property of Equality

Commutative Property

Distributive Property

160 Chapter 2  Common Core Cumulative Standards Review