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**Mid-Semester Exam Review**

7th Grade Math Ms. Catherine Sutton

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Problem #1 What is the solution to the inequality 1/3x + 4 < 8?

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Answer #1 X<12

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Problem #2 Which expression is equivalent to (2x+4)-(6x+5)?

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Answer #2 -4x - 1

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Problem #4 What is the simplified form of 8x – 11v + 17x + 5v?

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Answer #4 25x – 6v

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Problem #5 Madison stayed 3 nights at a hotel that charged x dollars per night. Sales tax was 12.5%. Which expression represents the total cost Madison paid to stay 3 nights at the hotel?

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Answer #5 3x(1.125)

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Problem #6 Which expression is equivalent to -1/3(3x-1/2)

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Answer #6 -x + 1/6

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Problem #7 All coats are on sale for 25% off the original price. Michael is buying a coat that is originally priced at $49. Sales tax is 6%. Which expression would calculate the final price of a coat?

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Answer #7 49(0.75)(1.06)

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Problem #8 Carol wants to save 6% of her paycheck for her college fund. If Carol’s paycheck were $650, which expression would calculate the amount of money Carol wants to save from her paycheck?

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Answer #8 650(.06)

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Problem #9 Three people went to lunch at a buffet restaurant that charges $9.99 per person for food. Each drink is an additional $1.99. Sales tax is 8.5%. Each person orders a drink, food, and leaves a $1.50 tip. How much was their total lunch bill?

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Answer #9 $43.49

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Problem #10 What is the value of –0.13 ÷ –2.6?

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Answer #10 0.05

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Problem #11 Which decimal is equivalent to 3 and 1/5 ?

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Answer #11 3.2

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Problem #12 What is the value of –2.54 – ?

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Answer #12 -4.47

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Problem #13 Which is equivalent to 2/3 ?

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Answer #13 0.66 (repeating)

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Problem #14 The Tigers football team gained 7 yards, lost 8 yards, and then lost 7 more yards. What is the total result of these three plays?

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Answer #14 A loss of 8 yards

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Problem #15 Mary had $60 and spent 3/4 of it for a coat. She then bought a skirt with 1/2 the money she had left. How much money did she have left after buying her coat and skirt?

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Answer #15 $7.50

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Problem #16 Jill’s family went out for dinner. The total dinner check was $ Jill’s dad left an 18% tip. About how much tip did Jill’s dad leave?

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Answer #16 $7.50

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Problem #17 It took Melanie 1/3 of an hour to ride her bike 2 and 3/4 of a mile. How many miles per hour can Melanie ride her bike?

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Answer #17 8 and 1/4

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Problem #18 John is painting a box that is shaped like a cube. One-eighth of a bottle of paint covers of one face of the box. How many bottles of paint will John need to paint the entire box?

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Answer #18 1

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Problem #19 Baseball cards cost $3.79 a pack. There is a 25% discount if 10 or more packs are purchased. Sales tax is 7%. If Terry bought 15 packs of cards, about how much did he pay?

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Answer #19 $45.00

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Problem #20 Janice is traveling at a constant rate. She traveled 243 miles on 9 gallons of gas and 324 miles on 12 gallons of gas. How many miles can Janice travel on one gallon of gas?

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Answer #20 27 miles

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#23. Sales tax is an amount added to the price of an item. sales tax = price sales tax rate total cost = price + sales tax Sales tax A tip is an amount.

#23. Sales tax is an amount added to the price of an item. sales tax = price sales tax rate total cost = price + sales tax Sales tax A tip is an amount.

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