ENV68_6_04_05_RTBU

Name Reteach to Build
Understanding

4-5

You can use inverse relationships of operations and the properties of
equality to solve equations with rational numbers.

1. To solve 343 + r = 583, use the Property of
Equality.
334 + r = 538
334 + r - 334 = 538 -

r=

2. A water cooler contained 5.2 liters of water. 5.2x = 22.1
Some water was added until the cooler contained 5.2x , = 22.1 , 5.2
22.1 liters of water. How many times as much water =
is there in the cooler now?

There is times as much water now.

3. Emiyo has used 214 gallons of paint. This is 2 of the
3
total amount of paint. How much paint, p, did Emiyo

have to start?

a. Write an equation to describe the situation.

   32p = 9
b. Rename the mixed number in the equation as a fraction. □2 4

×□ □ □p = 823p=9× 3
4


c. Use inverse operations and multiply by the reciprocal p = 3□□
2
of 3 to solve.

d. Emiyo started with gallons of paint.

On the Back!

4. Solve the equation p , 8.2 = 9.3 and check your solution.

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