Inequality Questions

Hannah buys a notebook for $6.50 and x pens for $2.25 each. She spends less than $20.00 in all. Select all of the numbers of pens, x, Hannah could have bought.

• 4

• 5

• 6

• 7

• 8

Answer explanation

You can use the inequality "2.25x + 6.50 < 20"

subtract 6.50 from both sides

divide both sides by 2.25

the number of pens must be LESS than 6, because she spends LESS than $20

An inequality is shown. −4x − 5 > 19 Which number line represents all solutions to this inequality?

• Graph A

• Graph B

• Graph C

• Graph D

Answer explanation

Solve by adding 5 to both sides

then divide by -4 on both sides

(YOU MUST FLIP the sign when you

divide by a NEGATIVE)

Tags

CCSS.7.EE.B.4B

Olivia earns $15 per hour, plus a $5 commission for each magazine subscription she sells. Her goal is to make more than $75 in one hour. What is the least number of magazine subscriptions she can sell in one hour to reach her goal?

• 11

• 12

• 13

• 14

Answer explanation

13 because if she only sells 12 subscriptions she only makes $75 & her goal is MORE than 75

Tags

CCSS.7.EE.B.4B

Stella buys cupcakes for a party with 26 guests. She buys 10 vanilla cupcakes and there are 4 chocolate cupcakes in each box. She wants to make sure she has enough for each guest to have at least one cupcake. Which inequality can Stella use to determine the number of boxes of chocolate cupcakes, c, she should buy?

• 26 ≤ 4c + 10

• 26 ≥ 4c + 10

• 26 ≤ 10c + 4

• 26 ≥ 10c + 4

Answer explanation

The "c" is number of boxes of chocolate cupcakes (4 in each box) - so that eliminates choice C & D

She wants MORE than 26 cupcakes so the "26" needs to be the smaller value (like in choice A)

Tags

CCSS.7.EE.B.4B

Which graph matches the inequality

k < 3?

• A

• B

• C

• D

Tags

CCSS.6.EE.B.8

Solve the inequality

• 
• 
• 
• 

Tags

CCSS.7.EE.B.4B

m ≤ 15

m ≥ 15

m ≤ 8

m ≥ 8

• m ≤ 15

• m ≥ 15

• m ≤ 8

• m ≥ 8

Tags

CCSS.7.EE.B.4B

Match this number line

to its correct solution.

• x > 2

• x > 2

• x < 2

• x < 2

Tags

CCSS.6.EE.B.8

Solve and graph the inequality.
77 ≤ 5 + 8n

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

Which figure shows the inequality x > -4?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

Tags

CCSS.6.EE.B.8