GACE Middle Grades Mathematics (013): Practice & Study Guide  /  Math Courses

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GACE Middle Grades Math: Basic Algebraic Expressions 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. Use the distributive property to simplify the following expression: 4(2x + 7)

Question 3 3. Rearrange the following expression using the associative property: 3(4 * 5)

Question 4 4. Simplify the expression: 2m + 4m - 8.

Question 5 5. An algebra class normally has y students, but today it is just 2/3 full. Express the number of students in class today in terms of y.

Page 2

Question 6 6. If the price of a shirt is $25, then express the price of n shirts.

Question 7 7. Use the distributive property to simplify the following expression: -(4 + a)

Question 8 8. Identify the variable(s) in this equation: 4x = 16.

Question 9 9. Name the property or properties depicted: 6 + 8 = 8 + 6

Question 10 10. Donald is the CEO of a company and 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?

Page 3

Question 11 11. Simplify: 4x^2 + 6x + 2x^2 - 8x + 10

Question 12 12. Rearrange the following expression using the commutative property: 7 * 6 * 10

Question 13 13. Simplify: ((5x + 2x) - (4x - 3x)) - ((8x + 4x) - 2x)

Question 14 14. Evaluate 3a2 + 2b when a = -4 and b = 6.

Question 15 15. Solve for x: 2x + 4 = 16

Page 4

Question 16 16. 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 17 17. Evaluate the expression when x = -1 and y = 4. Please give your answer in its most reduced form.

Question 18 18. Evaluate 3c3 - 7d when c = -4 and d = 6

Question 19 19. Simplify the expression: 3x(x + 5y) + 2y(7x - y) + 4(x^2 + 2y).

Question 20 20. Use the distributive property to simplify the following expression: 3(a + b)

Page 5

Question 21 21. Evaluate (p - 3)2 when p = 5.

Question 22 22. Simplify the expression: 2a(4b + 3a) + 2ab.

Question 23 23. Simplify the expression: 2st + 3t - s + 5t + 4s.

Question 24 24. Rearrange the following expression using the commutative property: -3 * 2 * 8

Question 25 25. Rearrange the following expression using the associative property: (5 + 2) + 4

Page 6

Question 26 26. Simplify: 2x^2 + 5 + 4x^2 - 3

Question 27 27. Simplify the expression: [2x 3 y2]3.

Question 28 28. Combine terms and simplify: 2x^2 + 5 + 4x^2 - 3

Question 29 29. Name the property or properties depicted: (7 * 15) * 9 = 7 * (15 * 9)

Question 30 30. Evaluate 7x when x = 5.

GACE Middle Grades Math: Basic Algebraic Expressions 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!

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