7th Grade Expressions and Equations

Ratios

100

A truck is carrying grape juice, pear juice, and cranberry juice bottles in a ratio of 6 : 2 : 4. If there are 40 pear juice bottles, then how many cranberry juice bottles are there?

80 bottles of cranberry 

200

Alexander has nickels, dimes, and quarters in the ratio of 4 : 6 : 1. If 56 of Alexander's coins are nickels, how many dimes and quarters does Alexander have?

Alexander has 84 dimes and 14 quarters.

300

A jar navy beans and kidney beans in a ratio of 7 : 3, and 840 of the beans are navy beans. How many beans in total are there in the jar?

The jar contains 1200 beans

400

Madison and Aiden share a reward of $70 in a ratio of 2 : 3. What fraction of the total reward does Madison get?

Madison gets 2/5 of the total

500

Jacob and Aiden share a reward of $152 in a ratio of 4 : 4. What fraction of the total reward does Jacob get?

Jacob gets 1/2 of the total.

Combing Like Terms

100

14x - 19 + 23x – 15

37x-34

200

-5xy - 12x - 7xy +11y

-12xy-12x+11y

300

11x + 7 + 13x - 22x

-2x+7 or 7-2x

400

-3.8x - 9 + 2.4x

-1.4x - 9

500

( 6x + 9 ) + 3( 10x + 15 )

36x+54

One Step Equations

100

7x=49

x=7

200

x-14= -9

x=5

300

x/6=12

x=72

400

6.7+x=10

x=3.3

500

1/7x=5

x=35

Two Step Equations

100

x/3 + 5 = 10

x=15

200

-13 + 5x= 7

x=4

300

-7x- 11= 17

x=-4

400

4a +5.6= -2.8

a=-2.1

500

2/5x+12=2

x=-25

Signed Numbers

100

-3-6

-9

200

-8-8 

-16 

300

(-4)(-6) 

24 

400

(-10)(-9)+-1+1 

90

500

(6)(-5)+5-5+6 

-24