Math Poker Unit 3 Review

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SPORTS - An athlete’s long jump attempt measured 670 cm SPORTS - An athlete’s long jump attempt measured 670 cm. This was 5 cm less than her best jump. Define a variable. Then write an equation that could be used to find the measure of her best jump.

j = length of her best jump ANSWER: j = length of her best jump j – 5 = 670

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ALGEBRA – Claire uses a copier to reduce the length of an image so it is ¼ of its original size. Given l, the length of the image, write an equation to find the length n of the new image.

ANSWER: n = 1 4 l

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Solve the equation. Check your solution.

ANSWER: c = 12

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Solve the equation. Check your solution.

ANSWER: a = -22

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MOVIES Thirty-two people arrive at the movie during the previews MOVIES Thirty-two people arrive at the movie during the previews. There were 150 people at the movie when it started. Write and solve an equation to find how many were there before the previews.

ANSWER: x + 32 = 150 x = 118 people

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Solve the equation. Check your solution. -4x = 52

ANSWER: x = -13

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Solve the equation. Check your solution. 𝑠 7 = 42

ANSWER: s = 294

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CARS – Mr. Jones bought 12 quarts of motor oil for $36 CARS – Mr. Jones bought 12 quarts of motor oil for $36. Write and solve an equation to find the cost of each quart of motor oil.

ANSWER: 12q = 36 q = $3

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Solve each inequality. Graph the solution set on a number line. 𝑐 5 + 7 = 42

ANSWER: c = 200

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ZOO – Four adults spend $37 for admission and $3 for parking at the zoo. Solve the equation 4a + 3 = 40 to find the cost of admission per person.

ANSWER: a = $9.25

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Translate the sentence into an equation. Then solve. The quotient of a number and 8, less 2, is 5.

ANSWER: 𝑛 8 – 2 = 5 n = 56

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No more than 15 people are at the party. Translate the sentence into an inequality. Then graph the inequality on a number line. No more than 15 people are at the party.

ANSWER: n ≤ 15

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Participants must be at least 12 years old. Translate the sentence into an inequality. Then graph the inequality on a number line. Participants must be at least 12 years old.

ANSWER: p ≥ 12

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Solve the inequality. Then graph the solution.

ANSWER: t < 3½

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Solve each inequality. Graph the solution set on a number line. 11 ≤ 7 + 𝑥 5

ANSWER: x ≥ 20

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Three times a number increased by four is less than -62. Write an inequality for each sentence. Then solve the inequality and graph the solution set on a number line. Three times a number increased by four is less than -62.

ANSWER: 3x + 4 < -62 x < -22

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Solve the inequality then graph the solution. -4b – 8 < 12

ANSWER: b > -5

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Tyler needs at least $205 for a new video game system Tyler needs at least $205 for a new video game system. He has already saved $30. He earns $7 an hour at his part time job. Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret the solution. Tyler needs at least $205 for a new video game system. He has already saved $30. He earns $7 an hour at his part time job. Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret the solution.

He will have to work at least 25 hours. 30 + 7x ≥ 205 x ≥ 25 hours He will have to work at least 25 hours. ANSWER:

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