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Algebra Word Problems Practice Tests

These Grade 9 Math practice tests cover consecutive numbers, ages and averages, rates and distance, travel, money and percentages, tickets, commissions, interest, geometry, work rates, mixtures, growth, break-even models, and fixed-plus-variable costs.

Skills covered

  • Defining variables and translating words into equations
  • Solving number, average, rate, distance, and work problems
  • Modeling discounts, tax, tips, commissions, interest, tickets, and budgets
  • Using perimeter, area, volume, circles, triangles, and the Pythagorean theorem
  • Interpreting mixtures, percentages, growth, break-even points, and real-world units

How to use these practice tests

Read the question for quantities and units, define one unknown, write a relationship, solve step by step, and reject values that do not fit the situation. Include units in the final answer.

For more Grade 9 Math practice, return to the Grade 9 Math category.

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Grade 9 Algebra Word Problems Practice Tests

Practice Grade 9 Math questions about number problems, rates, distance, money, percentages, tickets, geometry, work, mixtures, growth, and algebraic models.

Choose the best answer. Define the unknown, write an equation or model, keep units consistent, solve, and check that the result makes sense in context.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A $50 item is discounted by 20%. What is the sale price?

Please select an answer first.

Correct answer: A

The correct answer is $40.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: The discount is 0.20 × 50 = 10 dollars, so the sale price is 50 - 10 = 40 dollars.
  3. Check the context: The correct choice is $40.

The discount is 0.20 × 50 = 10 dollars, so the sale price is 50 - 10 = 40 dollars.

2. QuestionMultiple choice

An $75 purchase has 8% sales tax. What is the total cost?

Please select an answer first.

Correct answer: B

The correct answer is $81.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: The tax is 0.08 × 75 = 6 dollars, so the total is 81 dollars.
  3. Check the context: The correct choice is $81.

The tax is 0.08 × 75 = 6 dollars, so the total is 81 dollars.

3. QuestionMultiple choice

An 18% tip is left on a $50 meal. How much is the tip?

Please select an answer first.

Correct answer: C

The correct answer is $9.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: Compute 0.18 × 50 = 9 dollars.
  3. Check the context: The correct choice is $9.

Compute 0.18 × 50 = 9 dollars.

4. QuestionMultiple choice

Adult tickets cost $8 and student tickets cost $5. If 25 tickets cost $170, how many are adult tickets?

Please select an answer first.

Correct answer: D

The correct answer is 15.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: Let a be adult tickets. Then 8a + 5(25 - a) = 170, so 3a = 45 and a = 15.
  3. Check the context: The correct choice is 15.

Let a be adult tickets. Then 8a + 5(25 - a) = 170, so 3a = 45 and a = 15.

5. QuestionMultiple choice

A savings account starts with $100 and gains $25 each week. How much is saved after 6 weeks?

Please select an answer first.

Correct answer: A

The correct answer is $250.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: Use 100 + 25(6) = 250 dollars.
  3. Check the context: The correct choice is $250.

Use 100 + 25(6) = 250 dollars.

6. QuestionMultiple choice

A salesperson earns 6% commission on $1,200 in sales. What is the commission?

Please select an answer first.

Correct answer: B

The correct answer is $72.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: Compute 0.06 × 1,200 = 72 dollars.
  3. Check the context: The correct choice is $72.

Compute 0.06 × 1,200 = 72 dollars.

7. QuestionMultiple choice

An item costs $80 and is marked up by 40%. What is the new price?

Please select an answer first.

Correct answer: C

The correct answer is $112.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: The markup is 0.40 × 80 = 32 dollars, so the price is 112 dollars.
  3. Check the context: The correct choice is $112.

The markup is 0.40 × 80 = 32 dollars, so the price is 112 dollars.

8. QuestionMultiple choice

Use I=PrtI=Prt. What simple interest is earned on $500 at 4% for 2 years?

Please select an answer first.

Correct answer: D

The correct answer is $40.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: Substitute I = 500(0.04)(2) = 40 dollars.
  3. Check the context: The correct choice is $40.

Substitute I = 500(0.04)(2) = 40 dollars.

9. QuestionMultiple choice

One item costs $12 and a second item makes the total $35. What is the second item cost?

Please select an answer first.

Correct answer: A

The correct answer is $23.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: Subtract 12 from 35 to find the second item cost: 23 dollars.
  3. Check the context: The correct choice is $23.

Subtract 12 from 35 to find the second item cost: 23 dollars.

10. QuestionMultiple choice

Three books cost $14 each. If the budget is $60, what is the greatest amount left for supplies?

Please select an answer first.

Correct answer: B

The correct answer is $18.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: The books cost 3 × 14 = 42 dollars, leaving 60 - 42 = 18 dollars.
  3. Check the context: The correct choice is $18.

The books cost 3 × 14 = 42 dollars, leaving 60 - 42 = 18 dollars.

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