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US High School Problem Solving with Equations — practice questions

Explore 4 free Problem Solving with Equations questions in US High School Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Problem Solving with Equations questions and exercises with answers

Showing questions 1–4 of 4.

A jacket costs 60 dollars and a coupon takes 30 percent off. How much comes off?Read the answer and worked solution →A price rose from 80 dollars to 92 dollars. What was the percent increase?Read the answer and worked solution →A principal of 2000 dollars earns 6 percent simple interest for 3 years. How much interest is earned?Read the answer and worked solution →In a simple interest problem, what does the principal mean?Read the answer and worked solution →

Worked practice questions

A jacket costs 60 dollars and a coupon takes 30 percent off. How much comes off?

  1. It is 20 dollars
  2. It is 18 dollars
  3. It is 30 dollars
  4. It is 90 dollars
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Correct answer: B. It is 18 dollars

1. Translate the sentence directly: n equals 30 percent of 60 dollars. 2. Change the percent to a decimal, so 30 percent becomes 0.30. 3. Multiply 0.30 by 60 to get 18 dollars off. 4. Answering 20 dollars divides 60 by 3 instead of taking three tenths of it. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.2 Use a Problem Solving Strategy_

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A price rose from 80 dollars to 92 dollars. What was the percent increase?

  1. It rose by 12 percent
  2. It rose by 13 percent
  3. It rose by 20 percent
  4. It rose by 15 percent
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Correct answer: D. It rose by 15 percent

1. First find the amount of change, the new amount minus the original amount. 2. That is 92 dollars minus 80 dollars, which is 12 dollars. 3. Now ask what percent 12 is of the original amount, 80. 4. Write it as 12 equals p times 80. 5. Divide both sides by 80 to get p equal to 0.15. 6. Changing to percent form gives a 15 percent increase. 7. Answering 12 percent reports the amount of change in dollars as if it were a percent. 8. Answering 13 percent divides the change by the new amount rather than the original. 9. Answering 20 percent takes the change as a fraction of 60, a number never given. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.2 Use a Problem Solving Strategy_

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A principal of 2000 dollars earns 6 percent simple interest for 3 years. How much interest is earned?

  1. It is 360 dollars
  2. It is 120 dollars
  3. It is 180 dollars
  4. It is 600 dollars
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Correct answer: A. It is 360 dollars

1. Simple interest is found from I equal to P times r times t. 2. The principal P is 2000 dollars and the rate r as a decimal is 0.06. 3. The time t is 3 years, so I is 2000 times 0.06 times 3. 4. That gives 360 dollars. 5. Answering 120 dollars finds one year of interest and forgets to multiply by 3. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.2 Use a Problem Solving Strategy_

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More Mathematics topics

Using the Normal DistributionLinear InequalitiesSolving Linear EquationsAbsolute Value Equations and InequalitiesMixture and Uniform MotionCompound InequalitiesSolving a Formula for a VariableThe Standard Normal Distribution