10/23 ~ This or That Unit 6 Reiview Game

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CCSS.HSA.REI.D.12

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CCSS.HSA.REI.D.12

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CCSS.HSA.REI.D.12

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CCSS.HSA.REI.D.12

Answer explanation

To solve -2x + 4 < 8, subtract 4 from both sides to get -2x < 4. Then, divide by -2, remembering to flip the inequality sign, resulting in x > -2. Thus, the correct answer is x > -2.

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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CCSS.7.EE.B.4B

Answer explanation

To solve \( \frac{1}{3}x \le \frac{2}{3}x - 5 \), subtract \( \frac{1}{3}x \) from both sides to get \( -5 \le \frac{1}{3}x \). Multiplying by 3 gives \( -15 \le x \) or \( x \ge 15 \), which is the correct answer.

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Answer explanation

To solve \(\frac{2}{3}x - 5 < 7\), add 5 to both sides: \(\frac{2}{3}x < 12\). Then, multiply by \(\frac{3}{2}\): \(x < 18\). Thus, the correct answer is \(x < 18\).

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CCSS.7.EE.B.4B

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Hotdogs cost 2.50 each and hamburgers cost 5.75 each. Micah has $33 to spend on food for her and her friends. Which inequality could Micah use?

Answer explanation

Micah can use the inequality 2.50x + 5.75y ≤ 33 because it includes the possibility of spending exactly $33. The other option, <, would exclude that possibility.

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CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12