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Algebra Quiz: Variables and Equations

Ten Algebra: Variables and Equations practice questions cover calculations and symbolic reasoning. Every answer is explained.

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ByLelfy Editorial Team

For High school students and adults reviewing the topic.

About 16 minutes. 10 questions.

How does it work?

  1. Choose one answer or enter a number in the stated unit, then check it.
  2. Round only the final answer to the requested precision.

What will you get?

Review a score and an explanation for every answer.

Question 1Packing cost is 5p + 3t dollars, where p counts parcels and t counts tubes. Find the cost for p = 7 and t = 4, in dollars rounded to the nearest cent.

Answers within 0.005 dollars of the expected value are accepted.

Question 2Solve 6x − 7 = 41. Enter x with no unit, rounded to two decimal places.

Answers within 0.005 of the expected value are accepted.

Question 3Find x in 9x + 5 = 4x + 40. Enter the unitless value rounded to two decimal places.

Answers within 0.005 of the expected value are accepted.

Question 4A load limit is modeled by 3x + 8 ≤ 35, with x measured in kg. Find the boundary value of x in kg, rounded to two decimal places.

Answers within 0.005 kg of the expected value are accepted.

Question 5A tank holds 17 L before filling at a steady 8 L/min. After how many minutes of filling does it reach 73 L? Enter minutes rounded to two decimal places.

Answers within 0.005 min of the expected value are accepted.

Question 6A calibration rule is f(x) = x² − 3x + 2. Find f(−2), with no unit, rounded to two decimal places.

Answers within 0.005 of the expected value are accepted.

Question 7Which expression correctly expands 4(x − 3)?
Question 8Divide both sides of −5x ≥ 20 by −5. Which solution set results?
Question 9Which proposed value satisfies x/(x − 5) = 2 when substituted into the original equation?
Question 10A room costs 11 dollars to book plus 6 dollars per hour. The bill is 53 dollars. Which equation models h hours?

Answer every question to see and share your score.

Read the topic guide