Math Mastery Assess It 5 Review

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all numbers greater than or equal to -12

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-20

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Amanda has a coupon for 30% off the total amount purchased, p, at a store. Which expression can be used to find the amount Amanda will pay at this store when she uses her coupon?

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0.70p

Answer explanation

Amanda's coupon gives her 30% off, meaning she pays 70% of the total. The expression for the amount she will pay is 0.70 times the total amount, p, which is represented as 0.70p.

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A value increased by 25% is 260. What was the original value before the increase occurred?

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208

Answer explanation

Let the original value be x. Then, x + 0.25x = 260. This simplifies to 1.25x = 260. Dividing both sides by 1.25 gives x = 208. Thus, the original value before the increase was 208.

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80 decreased by 14%

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68.8

Answer explanation

To find the decreased value of 80 by 14%, calculate 14% of 80, which is 11.2. Subtract this from 80: 80 - 11.2 = 68.8. Thus, the decreased value is 68.8.

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By what percent is 45 decreased by to get 18?

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60%

Answer explanation

To find the percent decrease from 45 to 18, calculate the difference: 45 - 18 = 27. Then, divide the decrease by the original number: 27 / 45 = 0.6. Multiply by 100 to get the percentage: 0.6 * 100 = 60%. Thus, the answer is 60%.

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35% of 80

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28

Answer explanation

To find 35% of 80, calculate 0.35 x 80 = 28. Thus, the correct answer is 28.

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Mentally calculate the new value if 120 is increased by 25%.

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150

Answer explanation

To find 25% of 120, calculate 0.25 * 120 = 30. Then, add this to the original value: 120 + 30 = 150. Therefore, the new value after a 25% increase is 150.

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1/15

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The scale on a map is 0.5 centimeter = 3 kilometers. On the map, Town B is 12.5 centimeters away from Town A. What is the actual distance between the towns?

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75 kilometers

Answer explanation

The scale indicates 0.5 cm = 3 km. For 12.5 cm, the actual distance is (12.5 cm / 0.5 cm) * 3 km = 25 * 3 km = 75 km. Thus, the correct answer is 75 kilometers.