Algebra I - Unit 1: Foundations of Algebra Quiz 3: Properties of the Real Numbers

Simplify 3x + (-12x) - 5x.

-14x

Simplify (5b)(-3a).

-15ab

Simplify -2[9 - (x + 7)].

-4 + 2x

Simplify -4(N + 9).

-4N - 36

Simplify -12x + 5x.

-7x

Simplify -3 xy to the 3rd power + 7 xy to the 3rd power + (- xy to the 3rd power ) + (-3 xy to the 3rd power ).

0

Match each step with the property used to get to that step. (Note: The steps in the left column are listed in the correct order needed to simplify the expression.) (6x + 3) - 5x 1. commutative 2. distributive 3. associative 4. subtraction 5. multiplicative identity

1. (3 + 6x) - 5x 2. 3 + (6 - 5)x 3. 3 + (6x - 5x) 4. 3 + (1)x 5. 3 + x

Simplify 11(2x + 3).

22x + 33

Simplify 8(3 - 2x).

24 - 16x

Select all of the terms that are "like."

2xy -xy 1/2xy

Simplify 2x + x.

3x

Simplify 3x + 3 + 2.

3x + 5

How many terms are in the expression 5m to the 2nd power - mn + 4n + 7?

4

Simplify 4 n to the 5th power + 3.5 n to the 5th power + (-2.1 n to the 5th power ).

5.4 n to the 5th power

Simplify 6(x + 2) + 7.

6x + 19

Which of the following expressions is equal to 5 - 2m?

7 - 2(m + 1)

Simplify 81.56 + n - 2.55.

79.01 + n

Simplify 6(x + y) + (x - y).

7x + 5y

Simplify 5x + 4x + 1.

9x + 1

Simplify (ab)(ab)(ab)(ab).

A to the 4th power, B to the 4th power