Grade 7 Equations & Inequalities

1-Step Equations

100

Solve the equation. 

r - 18 = 42

r= 60

200

Solve the Equation: 4x=28?

X=7

300

Sarah has $84 and wants to buy several notebooks that cost $12 each. How many notebooks can she buy?

A. 12x= 84

B. 84x=12

12x=84

400

Solve for X: x+15=40

x=25

500

Solve for x:  A taxi charges $2.50 per mile. If your total fare is $20, how many miles did you travel?

A. 2.50x=$20 (X=6 miles)

B. 2.50x=$20 (X=8 miles)

C. 2.50x=$20 (X=12 miles)

D. 2.50x=$20 (X=20 miles)

B. 2.50x=$20 (X=8 miles)

Multi-Step Equations

100

Solve for X: 2x + 3=21

x=9

200

Which of the following equations represents "six less than twice a number equals fifteen"?
a. 2𝑥+6=15
b. 2𝑥−6=15
c. 6−2𝑥=15
d. −2𝑥+6=15

2x-6=15

300

Solve the equation.

 4 + 3x = 34

X =10

400

Solve the equation.

3x + 7 =22

x=5

500

Write the statement as an equation.

Five minus the product of 2 and x equals  7.

5 - 2x = 7

Inequalities

100

Solve the inequalities. 

x + 4 < 3

 x < -1

200

Solve the inequalities. 

m - 16 ≥ 14 

m ≥ 30

300

Solve the inequality.  

3y > 36

 y < 12

400

Which of the following equations represents "a number is at least 8"

a. x-8=10

b.x=7
c. 𝑥≤8
d. 𝑥≥8

d. X ≥ 8

500

Sarah has $50 to spend on notebooks that cost $2.50 each. Which inequality shows how many notebooks (n) she can buy?

A. 2.50n≤50

B.2.50x = 50

2.50x≤50

Multi-Step Inequalities

100

Solve the inequality. 

2y + 7 > 11 

y > 2 

200

Solve the inequality.

 11 - 4z < -1 

z > -2.5

300

Solve the Z.

2z+5=15

z= 5

400

Solve the inequality.

7x -3 > 18

x ≤ -15 

500

A cell phone plan costs $30 per month plus $0.10 per text message. If your bill is less than $40, which inequality represents the number of texts (t) you can send?

a. $30+$10x=40

b. $30+$0.10x= 40

C. $30+$0.10x ≤ 40

$30+$0.10x ≤ 40

Key Terms

100

<

Less Than

200

>

Greater Than

300

=

Equal 

400

≤

Less Than or Equal to

500

≥

Greater Than or Equal to