Inequalities - Review and Practice

Inequalities - Review and Practice

By

​Write and Graph Inequalities

​<

​Meanings, Symbols, and Graphs

​Phase and Meaning

less than	​smaller than
​below	​fewer than
​is under	​

​Graph and Meaning

​Less Than

​>

​Meanings, Symbols, And Graphs

​Phase and Meaning

greater than	more​ than
​exceeds	​larger than
​above	​

​Graph and Meaning

​Greater Than

​≤

​Meanings, Symbols, And Graphs

​Phase and Meaning

less than or equal to	no more than
​at most	​maximum
​not greater than	​

​Graph and Meaning

​Less Than or Equal To

​Meanings, Symbols, And Graphs

​Phase and Meaning

greater than or equal to	no less than
​at least	​minimum
​not smaller than	​

​Graph and Meaning

​Greater Than or Equal To

​  ≥

Multiple Choice

Missy is getting married and addressing

invitations. She has at least 140 envelopes and

has addressed 26 of them. Write the inequality

that describes how many more invitations

must be addressed.

First, identify the inequality symbol that represents the situation above.

• <

• >

• ≤

• ≥

Multiple Choice

Missy is getting married and addressing

invitations. She has at least 140 envelopes and

has addressed 26 of them. Write an inequality

that describes how many more invitations

must be addressed.

• x - 26 ≥ 140

• x + 26 ≥ 140

• 26x ≥ 140

• $$\frac{x}{26}$$ ≥ 140

Multiple Choice

Missy is getting married and addressing

invitations. She has at least 140 envelopes and

has addressed 26 of them. Write an inequality

that describes how many more invitations

must be addressed. Which of the following is the solution?

• x ≥ 166

• x ≥ 114

• x ≥ 5.38

• x ≥ 3,640

Multiple Choice

Ms. Estrada is baking cookies for a bake sale. She plans to take 36 chocolate chip cookies to sell at the bake sale. She also wants to keep no more than 24 cookies for her cookie jar at home.

Write an inequality that represents how many chocolate chip cookies Ms. Estrada will need to bake. First, identify the inequality symbol that represents the situation above.

• <

• >

• ≤

• ≥

Multiple Choice

Ms. Estrada is baking cookies for a bake sale. She plans to take 36 chocolate chip cookies to sell at the bake sale. She also wants to keep no more than 24 cookies for her cookie jar at home.

Write an inequality that represents how many chocolate chip cookies Ms. Estrada will need to bake.

• x + 36 ≤ 24

• x - 36 ≤ 24

• 36x ≤ 24

• $$\frac{x}{36}$$ ≤ 24

Multiple Choice

Ms. Estrada is baking cookies for a bake sale. She plans to take 36 chocolate chip cookies to sell at the bake sale. She also wants to keep no more than 24 cookies for her cookie jar at home.

Write an inequality that represents how many chocolate chip cookies Ms. Estrada will need to bake. Which of the following is the solution?

• x ≤ 12

• x ≤ 60

• x ≤ $$\frac{2}{3}$$

• x ≤ 864

Multiple Choice

Sam can join a gym for $25 per month or $500 one time. Write an inequality to show when paying monthly costs more than $500, so the flat rate is the better option. First, identify the inequality symbol that represents the situation above.

• <

• >

• ≤

• ≥

Multiple Choice

Sam can join a gym for $25 per month or $500 one time. Write an inequality to show when paying monthly costs more than $500, so the flat rate is the better option.

• x + 25 > 500

• x - 25 > 500

• 25x > 500

• $$\frac{x\ }{25}$$ > 500

Multiple Choice

Sam can join a gym for $25 per month or $500 one time. Write an inequality to show when paying monthly costs more than $500, so the flat rate is the better option. Which of the following is the solution?

• x > 475

• x > 525

• x > 20

• x > 12,500

Multiple Choice

Britney sets a limit on how much money she can spend at restaurants during the month of June. She splits the total amount evenly among the 5 times she expects to go to restaurants. Britney determines she should spend less than $20 each time.

Write an inequality represents how much Britney wants to spend at restaurants in June.

First, identify the inequality symbol that represents the situation.

• <

• >

• ≤

• ≥

Multiple Choice

Britney sets a limit on how much money she can spend at restaurants during the month of June. She splits the total amount evenly among the 5 times she expects to go to restaurants. Britney determines she should spend less than $20 each time.

Write an inequality that represents how much Britney wants to spend at restaurants in June.

• x + 5 < 20

• x - 5 < 20

• 5x < 20

• $$\frac{x}{5}$$ < 20

Multiple Choice

Britney sets a limit on how much money she can spend at restaurants during the month of June. She splits the total amount evenly among the 5 times she expects to go to restaurants. Britney determines she should spend less than $20 each time.

Write an inequality that represents how much Britney wants to spend at restaurants in June. Which of the following is the solution?

• x < 15

• x < 25

• x < 5

• x < 100