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7th Grade Exponents & Expressions
Contributed by: Nguyen
(Original author: Pendergast)
  • 1. Allyson wants to simplify53 * 54. What must she do?
A) Keep the base the same and add the exponents.
B) Keep the base the same and subtract the exponents.
C) Divide the bases and add the exponents.
D) Divide the bases and subtract the exponents.
  • 2. Write the Expanded Form- don't write multiplication symbols or parentheses (x3)(x5)
  • 3. Simplify (x3)(x5) use caret ^ for exponent
A) x8
B) 2x8
C) x15
  • 4. Simplify (3a2b3)(-2b6)
A) -6a2/b3
B) 1a2b9
C) -6a2b9
D) -6ab3
  • 5. Melissa wants to simplify53/54. What must she do?
A) Keep the base the same and subtract the exponents
B) Divide the bases and add the exponents
C) Keep the base the same and add the exponents.
D) Divide the bases and subtract the exponents.
  • 6. Simplify (expand, cancel, and condense) c5/c7
A) c35
B) 1/c2
C) c2
  • 7. Simplify (10a3b2) / (5ab5)
A) 2a2b3
B) (2a2) / b3
C) a2/(2b3)
  • 8. Evaluate: (-4)2 + (-2)3
A) -2
B) 8
C) 24
D) 14
  • 9. Simplifying: (a2)(a3)(a6)
A) 3a36
B) a11
C) 3a11
D) a36
  • 10. Simplify: 20x3y8/-5x3y
A) -4y7
B) -4y
C) 4y7
D) -4x3
  • 11. Which of the following expressions is equivalent to: 3(x + 4) - 2
A) 3x + 5
B) 3x + 4
C) 3x + 14
D) 3x + 10
  • 12. In a certain classroom, the ratio of boys to girls is 2 to 1. If there are 39 students in the classroom, how many are boys?
A) 18
B) 30
C) 26
D) 22
  • 13. Nam has $2.76 in dimes and pennies. If he has $1.16 in pennies, how many dimes does Nam have?
A) 27
B) 14
C) 16
D) 22
  • 14. Nelly spent 7/8 of his savings on furniture and the rest on a lawnmower. If the lawnmower cost him $250, how much did he spend on furniture? (Hint: Sketch a visual model)
A) $1750
B) $2000
C) $1500
D) $1000
  • 15. Which of the following expressions represents "a 24% increase"?
A) n + 0.24n
B) n + 24
C) n + 24n
D) n + 0.24
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