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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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5 Tests
1. Test2. Test3. Test4. Test5. Test

1. Test

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 number plus 7 is 19. What is the number?

Please select an answer first.

Correct answer: A

The correct answer is 12.

  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 x be the number. Solving x + 7 = 19 gives x = 12.
  3. Check the context: The correct choice is 12.

Let x be the number. Solving x + 7 = 19 gives x = 12.

2. QuestionMultiple choice

Three more than twice a number is 17. What is the number?

Please select an answer first.

Correct answer: B

The correct answer is 7.

  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 x be the number. Then 2x + 3 = 17, so 2x = 14 and x = 7.
  3. Check the context: The correct choice is 7.

Let x be the number. Then 2x + 3 = 17, so 2x = 14 and x = 7.

3. QuestionMultiple choice

Three consecutive integers have a sum of 72. What is the middle integer?

Please select an answer first.

Correct answer: C

The correct answer is 24.

  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 the integers be n, n + 1, and n + 2. Then 3n + 3 = 72, so n = 23 and the middle is 24.
  3. Check the context: The correct choice is 24.

Let the integers be n, n + 1, and n + 2. Then 3n + 3 = 72, so n = 23 and the middle is 24.

4. QuestionMultiple choice

Three consecutive odd integers have a sum of 75. What is the greatest integer?

Please select an answer first.

Correct answer: D

The correct answer is 27.

  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 the integers be n, n + 2, and n + 4. Solving 3n + 6 = 75 gives n = 23, so the greatest is 27.
  3. Check the context: The correct choice is 27.

Let the integers be n, n + 2, and n + 4. Solving 3n + 6 = 75 gives n = 23, so the greatest is 27.

5. QuestionMultiple choice

Five less than four times a number is 31. What is the number?

Please select an answer first.

Correct answer: A

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: Translate as 4x - 5 = 31. Then 4x = 36 and x = 9.
  3. Check the context: The correct choice is 9.

Translate as 4x - 5 = 31. Then 4x = 36 and x = 9.

6. QuestionMultiple choice

A number and 3 more than the number have a sum of 41. What is the smaller number?

Please select an answer first.

Correct answer: B

The correct answer is 19.

  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 the smaller number be x. Then x + (x + 3) = 41, so 2x = 38 and x = 19.
  3. Check the context: The correct choice is 19.

Let the smaller number be x. Then x + (x + 3) = 41, so 2x = 38 and x = 19.

7. QuestionMultiple choice

Two numbers have a sum of 50, and the larger is 8 more than the smaller. What is the larger number?

Please select an answer first.

Correct answer: C

The correct answer is 29.

  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 the smaller be x. Then x + (x + 8) = 50, so x = 21 and the larger is 29.
  3. Check the context: The correct choice is 29.

Let the smaller be x. Then x + (x + 8) = 50, so x = 21 and the larger is 29.

8. QuestionMultiple choice

Twice a number minus 5 is 17. What is the number?

Please select an answer first.

Correct answer: D

The correct answer is 11.

  1. Define the unknown: Choose a variable and identify the quantities, units, and relationships described in the problem.
  2. Build and solve the model: Solve 2x - 5 = 17: 2x = 22, so x = 11.
  3. Check the context: The correct choice is 11.

Solve 2x - 5 = 17: 2x = 22, so x = 11.

9. QuestionMultiple choice

One third of a number plus 4 is 10. What is the number?

Please select an answer first.

Correct answer: A

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: Subtract 4 to get x/3 = 6, then multiply by 3 to get x = 18.
  3. Check the context: The correct choice is 18.

Subtract 4 to get x/3 = 6, then multiply by 3 to get x = 18.

10. QuestionMultiple choice

The average of a number and 6 more than the number is 15. What is the number?

Please select an answer first.

Correct answer: B

The correct answer is 12.

  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 equation (x + x + 6)/2 = 15 gives 2x + 6 = 30 and x = 12.
  3. Check the context: The correct choice is 12.

The equation (x + x + 6)/2 = 15 gives 2x + 6 = 30 and x = 12.

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