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Algebra 1 7-4 Mixed Review: Division Properties of Exponents

By Matt Richardson
Last updated over 2 years ago
8 Questions
1.

Review Lesson 7-3: Simplify the expression.
Enter only an expression in the response field.

2.

Review Lesson 7-3: Simplify the expression.
Enter only an expression in the response field.

3.

Review Lesson 7-3: Simplify the expression.
Enter only an expression in the response field.

4.

Review Lesson 6-1: Solve each system by graphing. You may use Desmos or the embedded Desmos graphing utility above.

  • (-4, -7)
  • (3, 5)
  • No solution
  • (0, 0)
  • Infinitely many solutions
  • y = 3x
    y = -2x
  • y = 2x + 1
    y = x - 3
  • y = 5
    x = 3
  • y = 7
    y = 8
5.

Review Lesson 4-4: Graph the functions on the same coordinate plane using the indicated colors.
Be sure to include all relevant graph detail.

6.

Vocabulary Review: Which expression(s) show a quotient? Select all that apply.

7.

Vocabulary Review: Complete each sentence with positive or negative.

  • positive
  • negative
  • The quotient of two negative integers is always __?__.
  • The quotient of two positive integers is always __?__.
  • The quotient of a negative integer and a positive integer is always __?__.
8.

Use Your Vocabulary: Match each equation on the left with the property it illustrates on the right.

  • \left(x^{12}\right)^3=x^{36}
  • x+0=x
  • x\left(yz\right)=xy\left(z\right)
  • raising a power to a power
  • identity property of addition
  • associative property of multiplication