# ACT Math - Algebraic Expressions: Tutoring Solution Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. Simplify: 5x + 12x

#### Question 2 2. Rearrange the following expression using the commutative property: -3 * 2 * 8

#### Question 3 3. Identify the variable(s) in this equation: 4x = 16.

#### Question 4 4. Evaluate 7x when x = 5.

#### Question 5 5. Identify the constant(s) in this equation: 7x + 2 = 33.

### Page 2

#### Question 6 6. Use the distributive property to simplify the following expression: -3(-x - 3y)

#### Question 7 7. In a football game, Peyton threw 17 more complete passes than Tom, who threw p. Express the number of complete passes Peyton had in terms of p.

#### Question 8 8. Rearrange the following expression using the associative property: (5 + 2) + 4

#### Question 9 9. CEO Donald earns three times as much as the combined salary of his two vice presidents, Susan and Kurt. If Susan earns s and Kurt earns k, then how much does Donald earn in terms of s and k?

#### Question 10 10. Use the distributive property to simplify the following expression: -5(-10a + 2)

### Page 3

#### Question 11 11. Solve for x: 2x + 4 = 16

#### Question 12 12. If the price of a shirt is $25, then express the price of n shirts.

#### Question 13 13. Name the property or properties depicted: 6 + 8 = 8 + 6

#### Question 14 14. Use the distributive property to simplify the following expression: -(4 + a)

#### Question 15 15. Evaluate the expression when x = -1 and y = 4. Please give your answer in its most reduced form.

### Page 4

#### Question 16 16. Simplify: 4x^2 + 6x + 2x^2 - 8x + 10

#### Question 17 17. Use the distributive property to simplify the following expression: 3(a + b)

#### Question 18 18. Simplify: ((5x + 2x) - (4x - 3x)) - ((8x + 4x) - 2x)

#### Question 19 19. Simplify: 8x^3 - 4x + 3x^3 + 6x^2 - x

#### Question 20 20. Use the distributive property to simplify the following expression: 4(2x + 7)

### Page 5

#### Question 21 21. Simplify: [-2(g + 2h) - 4g^2] - [-g(5 - 2g) + h]

#### Question 22 22. Simplify the expression: [2x 3 y2]3.

#### Question 23 23. Simplify: m2 - 6n - 2m2 + 3n

#### Question 24 24. Solve for x: x + 17 = 25

#### Question 25 25. Identify the variable(s) in this equation: 6a + 3x = 7y.

### Page 6

#### Question 26 26. Simplify: -2(-7q - 3r)

#### Question 27 27. Evaluate 3c3 - 7d when c = -4 and d = 6

#### Question 28 28. Simplify: 2x^2 + 5 + 4x^2 - 3

#### Question 29 29. Evaluate 3a2 + 2b when a = -4 and b = 6.

#### Question 30 30. Rearrange the following expression using the commutative property: 7 * 6 * 10

#### ACT Math - Algebraic Expressions: Tutoring Solution Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

#### Explore our library of over 79,000 lessons

Browse by subject