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Simplifying Algebraic Expressions Quiz 1
  • 1. Which expression is not equivalent to the other three?
A) 2(3n-4)
B) 2n-3+4n-5
C) 6(n-5)
D) -8-4n+10n
  • 2. Jake says the expressions 3(x+2) and 3x+2 are equivalent. Marie says they are not. Who is correct?
A) Marie, because the first expression is equal to 3x+6
B) Marie, because the first expression is equal to 3x+5
C) Jake,because they are both equal to 3x+2
  • 3. Use the distributive property to rewrite the expression in simplest form:
    3(x+5)
A) 3x+5
B) 3x+15
C) 3x+35
D) 3x+8
  • 4. Use the distributive property to rewrite the expression in simplest form:
    -4(m-7n)
A) -4m-7n
B) -4m-28n
C) -4m+7n
D) -4m+28n
  • 5. Use the distributive property to rewrite the expression in simplest form:
    6(3a+4b+2c)
A) 18a+24b+2c
B) 18a+24b+12c
C) 18a+10b+12c
D) 9a+10b+8c
  • 6. Use the distributive property to rewrite the expression in simplest form:
    -2(3p+7r-9)
A) -6p+14r+18
B) -6p-14r+18
C) -6p-7r-18
D) -6p-14r-18
  • 7. How many terms are in the following expression?
    2x+4-5y-6
A) 5
B) 4
C) 6
D) 9
  • 8. What are the Constants in the following expression?
    2x+4-5y-6
A) 4 and 6
B) 2 and -5
C) 2 and 5
D) 4 and -6
  • 9. What are the coefficients in the following expression?
    2x+4-5y-6
A) 2 and 5
B) 4 and 6
C) 2 and -5
D) 4 and -6
  • 10. Harry says (7+8)+9=(8+7)+9 is an example of the associative property.
    Hannah says it is an example of the commutative property. Who is correct and why?
A) Hannah, because the order of numbers changed:
B) Hannah, because the grouping changed.
C) Harry, because the grouping changed.
D) Harry, because the order of numbers changed
  • 11. Which expression is equivalent to 2.5(x - 1) + 4.5( -x - 2)?
A) -2x-11.5
B) 7x+11.5
C) 7x-11.5
D) -2x+11.5
  • 12. Nell writes the expression
    (3.6x + 6) - 4. She rewrites the expression using the associative property. Which expression could Nell have written using the associative property?
A) 3.6x(6-4)
B) 3.6(x+6)-4
C) 5.6x
D) 9.6x-4
  • 13. Which expression is equivalent to
    6x + 7.5?
A) -3(-2x+7.5)
B) -3(-2x-2.5)
C) -3(-2x-7.5)
D) -3(-2x+2.5)
  • 14. Mary solved the problem below and came up with the answer listed. Is * 5 Mary correct? If not, state what Mary did wrong and give the correct answer.
    9y- 3 + 5y
    9y- 5y - 3

    Mary's answer: 4y - 3
A) Yes, Mary's answer is correct.
B) No, Mary should have added 5y to 9y and gotten 14y + 3.
C) No, Mary should have subtracted 3 from 9y and then added 5y to get 11 y
D) No, Mary should have added 5y to 9y and gotten 14y - 3.
  • 15. Simplify the expression: 9a+5-7a-2
A) 16a+3
B) 16a-7
C) 2a+3
D) 2a-3
  • 16. Simplify the expression: -8m+3-6m-9
A) -14m-6
B) 14m-6
C) -2m-6
D) -14m+6
  • 17. Simplify the expression: 4x-12-9x-5
A) -5x-7
B) 5x-17
C) -13x-17
D) -5x-17
  • 18. Simplify the expression: 2(2x+10)+3x+4
A) 7x+24
B) 5x+14
C) 7x+17
D) 7x+14
  • 19. Simplify the expression:
    -3(9y+5)+ 7y-22
A) -20y-17
B) -20y-37
C) -20y-27
D) -14y-37
  • 20.
A) -9x+2
B) -7x+18
C) -7x-2
D) -7x+2
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