zMath 180  - Unit 9: Solving Two-Step Equations
1) The scale is evenly balanced. Explain how to find the weight (w) of one turtle.

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2) Refer to the previous problem and write an equation that may be used to solve the problem.

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3) Explain how to solve the equation you wrote in the previous problem.

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4) Solve for “x” using inverse operations.

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5) Solve for “x” using inverse operations.

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6) Solve for “n” using inverse operations.

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7) Solve for “z” using inverse operations.

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8) Solve for “x” using inverse operations. (Hint: First undo the addition.)

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9) Jacob's father is 54 years old. His age is 6 years more than three times Jacob's age. Write a math sentence to determine Jacob's age (a), and then solve to determine Jacob's age.

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10) Write an equation to solve the given problem, and then solve the equation.

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11) A rectangle with a perimeter of 36 units has a length of 12 units and a width of “x” units. (a) What is an equation that may be used to solve for “x”? (b) What is the width of the rectangle?

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Review

12) A group of 15 friends take a trip to a water park. The total price of the trip is $599.85 before any discounts. The total price with the discount is $449.85. How much discount does each person receive?

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13) Solve for “x”.

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14) Solve for “y”.

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15) Solve for “y”.

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16) A school class of 27 students is taking a trip to a museum 145 miles away. The cost of the bus trip is $0.12 cents per child per mile. Explain why it is okay to estimate the transportation cost for the class trip.

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17) A construction company is planning to build a fence to surround a wall that will be set around a prison. The fence will help maintain a safe perimeter outside the main compound. Explain why estimating measurements or costs of construction would not be wise in this instance.

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18) What number is 40% of 80?

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19) What number is 80% of 120?

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20) What number is 15% of 52?

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21) Simplify.

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22) Simplify.

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23) Simplify.

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24) Use approximation to find the square root to the nearest tenth.

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25) Use approximation to find the square root to the nearest hundredth.

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26) What is the scientific notation for 597,000? State the letter of the correct answer.

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27) What is the scientific notation for 0.0012? State the letter of the correct answer.

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For the next three problems, select which subset of the real numbers the given number is a member.

28) Rational or Irrational?

29) Rational or Irrational?

30) Rational or Irrational?

31) Find the product.

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32) Find the product.

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33) Find the quotient.

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34) Find the quotient.

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35) Find the quotient.

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36) Find the quotient.

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37) Find the quotient.

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38) A photographer is making an enlargement of a color portrait. If the original portrait is 11 inches by 14 inches and he wants to make the new width 14 inches, about how long should the enlarged length be?

39) The Quality Control Department of a company checked with its customers and found that 3000 of the 250,000 buyers had a defective product. What percent of the products were defective?

40) In the previous problem, what percent of the products were not defective?

41) A school sports team has eight seniors, five juniors, and 12 sophomores. What percent of the team is NOT in the senior class?

42) A newspaper poll states that 60% of the people in Rottsburg have a pet dog. If there are 2.5 million residents in Rottsburg, how many people have pet dogs?

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