One-Step Multiplication and Division Equations: Sample FAST Questions
Students write and solve one-step equations in one variable using multiplication and division, where all terms and solutions are integers. They solve equations like 4x = 28 or x ÷ 3 = 5 with inverse operations and model real-world situations, such as splitting a cost evenly, with their own equations.
How the FAST tests this benchmark
FAST items include equation editor questions solving for the unknown and multiple choice questions matching a word problem to the correct multiplication or division equation.
Skills students need
Solve one-step multiplication and division equations
Write and solve multiplication and division equations from real-world contexts
Try 4 real MA.6.AR.2.3 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
A driver traveled the same distance each day for 7 days, covering 91 miles total. Which equation represents this, and how many miles did he drive each day?
Correct answer: B. 7d=91; 13 miles per day
This explanation shows one way to solve the problem.
Define the variable: Let d = miles driven per day.
Write the equation: 7 days times miles per day equals total: 7d=91.
Solve: d=91÷7=13. He drove 13 miles each day.
Final Answer
7d=91; 13 miles per day
Question 2MediumEquation Editor
An equation is shown. −10x=50. What is the value of x?
Enter the number only. Do not include units like $, %, or ft²
Correct answer: −5
This explanation shows one way to solve the problem.
Divide both sides by −10: −10−10x=−1050
Compute 50÷(−10): 50÷(−10)=−5. So x=−5
Final Answer
-5
Question 3MediumMultiple Choice
A mountain climber descends the same distance each hour. After 5 hours, she is −65 meters lower. Which equation represents the distance d per hour?
Correct answer: A. 5d=−65
This explanation shows one way to solve the problem.
Write the equation: The climber descended over 5 hours for a total of −65 meters: 5d=−65.
Check the sign: The change is negative because she descended ✓
Final Answer
5d=−65
Question 4HardMultiple Choice
Four teams share a penalty equally. Each team is penalized −12 points. What was the total penalty, and which equation represents this situation?
Correct answer: A. d÷4=−12; total penalty was −48 points
This explanation shows one way to solve the problem.
Define the variable: Let d = total penalty in points.
Write the equation: Total penalty split among 4 teams gives −12 points each: 4d=−12.
Solve: Multiply both sides by 4: d=−12×4=−48. The total penalty was −48 points.
Final Answer
d÷4=−12; total penalty was −48 points
Master MA.6.AR.2.3 with personalized practice
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