Simplify Expressions
Solving Equations
Solving Inequalities
Matching the Inequality
100

Distribute

3(4x + 2) 

What is:

12x + 6

100

Solve for x:

x + 3 = 7

What is: 

x = 4

100

Solve for c:

c - 11 > 22

What is: 

c > 33

100

Emma wants to buy a backpack that costs $50. She already has $20 saved. She earns $10 for each hour she works. Which inequality represents the number of hours, x, Emma needs to work?

A. 20 + 10x ≥ 50
B. 20 + 10x ≤ 50
C. 10 + 20x ≥ 50
D. 10 + 20x ≤ 50

What is:

A. 20 + 10x ≥ 50

200

Combine like terms

-15j + 5j - 7j

What is:

-17j

200

Solve for x:

2x = 8

What is: 

x = 4

200

Solve for x:

2x < 4

What is:

x < 2

200

Noah wants to buy a jacket that costs $120. He has $45 saved. He earns $15 per shift at work. Which inequality can be used to find the number of shifts, x, Noah needs to work?

A. 15 + 45x ≥ 120
B. 15 + 45x ≤ 120
C. 45 + 15x ≥ 120
D. 45 + 15x ≤ 120

What is:

C. 45 + 15x ≥ 120

300

Combine like terms

12y + 5 - 2y + 3

What is:

10y + 8

300

Solve for x: 

x/5 = 25

What is: 

x = 125

300

Solve for a:

3a - 1  8

What is:

 3

300

A student orders food at a concession stand. A sandwich costs $6.50, and each drink costs $2.25. The student can spend no more than $20.00. Which inequality represents the number of drinks, x, the student can buy?

A. 6.50x + 2.25 ≤ 20
B. 2.25x + 6.50 ≤ 20
C. 2.25x + 6.50 ≥ 20
D. 6.50x + 2.25 ≥ 20

What is:

B. 2.25x + 6.50 ≤ 20

400

Distribute, Then Combine like Terms

5(x + 4) + 3x

What is:

8x + 20

400

Solve for v: 

7v - 4 = 59

v = 9

400

Solve for w:

-4w < 12

What is:

w > -3

400

A student is saving for a field trip. The registration fee is $18.00, and each fundraiser item sold earns $4.00. The student needs to earn at least $50.00 total. Which inequality can be used to find the number of fundraiser items, x, the student must sell?

A. 18x + 4 ≥ 50
B. 4x + 18 ≤ 50
C. 4x + 18 ≥ 50
D. 18 + 4 ≤ 50

What is:

C. 4x + 18 ≥ 50 

500

Distribute then Combine Like Terms:

3 + 2(4x - 5)

What is:

-7 + 8x

500

Solve for a:

3(a + 4)=60

What is:

a = 16

500

Solve and Graph:

-2x + 1 < 5

What is: 

x > -2

(Open Circle & Arrow to the RIGHT)

500

Ms. Beck needs at least $175.00 for 4 admission tickets and parking at a baseball game. Parking cost $25.00. Each admission ticket cost the same amount. Which inequality can be used to find the cost of one admission ticket, x?

A. 4x + 25 < 175
B. 25x + 4 > 175
C. 4 + 25x175
D. 4x + 25175

What is:

D. 4x + 25175