# NES Math: Algebraic Expressions Chapter Exam

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#### Question 1 1. Evaluate the expression when x = -1 and y = 4.

#### Question 2 2. Use the distributive property to simplify the following expression: -(4 + a)

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

#### Question 5 5. Simplify: 8x^3 - 4x + 3x^3 + 6x^2 - x

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

#### Question 7 7. Evaluate (p - 3)2 when p = 5.

#### Question 8 8. Simplify: -2(-7q - 3r)

#### Question 9 9. Simplify: -5x(x - 3y)

#### Question 10 10. Simplify the expression: 2m + 4m - 8.

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#### Question 11 11. 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 12 12. Use the distributive property to simplify the following expression: -3(-x - 3y)

#### Question 13 13. Simplify: m2 - 6n - 2m2 + 3n

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Question 14
14.
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*.

#### Question 15 15. A particular shirt is on sale for $12. The regular price is $20. How much is the discount? Use the formula Discount = Regular price - Sale price.

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#### Question 16 16. Simplify: [-2(g + 2h) - 4g^2] - [-g(5 - 2g) + h]

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Question 17
17.
If *a* = 1, *b* = 3, *c* = 4, what is *x*? Use the formula *x* = *c* / (*b* - *a*).

#### Question 18 18. Evaluate 7x when x = 5.

#### Question 19 19. Use the distributive property to simplify the following expression: 3(a + b)

#### Question 20 20. Simplify: -3ab - b + ab - 4b + 2ab

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#### Question 21 21. Simplify: 4x^2 + 6x + 2x^2 - 8x + 10

#### Question 22 22. Use the distributive property to simplify the following expression: 4(2x + 7)

####
Question 23
23.
Mary's living room measures 7 feet wide by 12 feet long. In the formula for the area of her living room, *A* = *l* ∗ *w*, what is *w* ?

*w*

#### Question 24 24. Simplify the expression: 2a(4b + 3a) + 2ab.

#### Question 25 25. Keara is 5 years older than Michelle. If Michelle is m years old, write an expression for Keara's age.

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#### Question 26 26. Use the distributive property to simplify the following expression: -5(-10a + 2)

#### Question 27 27. Simplify the expression: 3x(x + 5y) + 2y(7x - y) + 4(x^2 + 2y).

#### Question 28 28. Martha needs to record the distance she walks every day. Every day she walks around her block once. Her block is a square where each side of the square measures 1/4 of a mile. Which formula will help her solve her problem?

#### Question 29 29. Evaluate 3c3 - 7d when c = -4 and d = 6

#### Question 30 30. Simplify: ((5x + 2x) - (4x - 3x)) - ((8x + 4x) - 2x)

#### NES Math: 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!