Inequalities and Practice

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x) 

What is the solution set for -3x – 9 ≤ 6?

• 𝑥 ≥ −5

• 𝑥 ≥ 5

• 𝑥 ≤ −5

• 𝑥 ≤ 5

William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?

• 1.25 + 0.9p ≤ 7.5

• 1.25p - 0.9 ≤ 7.5

• 1.25p + 0.9 ≥ 7.5

• 1.25p + 0.9 ≤ 7.5

Which number line represents the solution to the inequality

-5x + 7 ≤ 22?

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Which number line best represents the solution to the inequality 13.1x + 23.1 < -16.2?

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Which situation can be represented by this inequality? 800 ≤ 15𝑦 + 50

• Ally has 50 coins in her collection. She will collect 15 new coins every year. She collects coins for y years. For what values of y will Ally have at most 800 coins?

• Ally has 50 coins in her collection. She will collect 15 new coins every year. She collects coins for y years. For what values of y will Ally have at least 800 coins?

• Ally has 15 coins in her collection. She will collect 50 new coins every year. She collects coins for y years. For what values of y will Ally have at least 800 coins?

• Ally has 15 coins in her collection. She will collect 50 new coins every year. She collects coins for y years. For what values of y will Ally have at most 800 coins?

If x = -2, which inequality is true?

• 5x + 4 < -6

• 3 – 2x > 7

• -4x – 2 < 10

• -2 + 3x > -1

Does the given value make the inequality true? x + 9 > 21, when x = 15

• True

• Not True

-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

5x - 7 ≥ 8

• x ≥ 3

• x  ≤ 3

• x = 3

• x ≠ 3