# Simplifying Expressions and Solving Equation

** Simplify the expression by combining like terms .
**

1) 7x + 3 + 2x - x + 4

**Multiply .**

2) -(3x - 3)

3) -11(23w)

**Simplify the expression .**

4) 8(2x - 4) - 6(x - 1)

**Find the perimeter or area of the figure as indicated.**

5) Find the perimeter of the regular pentagon.

Each side: 10x + 9 inches

6) Find the area of the figure.

Solve the equation .

7) -28 + 5 = 3x + 2 - 2x

8) In accounting, a company's annual net income, I, can be computed using the
relation

I = R - E, where R is the total revenue for the year and E is the total of
expenses for the

year. At the end of its fiscal year, a corporation had a net income of $43
million. During the

year, the corporation incurred a total of $772 million in expenses. What was the

corporation's total revenue for the year?

9) 12 - (-3) = 5x

**Write the phrase as a variable expression . Use x to represent "a number."**

10) Sixteen subtracted from a number

**Write the sentence as an equation .
**

14) The quotient of 140 and five times 7 equals 4.

15) Four times the difference of -11 and 9 is -80.

**Solve the equation .**

**Write the phrase as a variable expression . Use x to
represent "a number."
**

19) The quotient of 26 times a number and -8

**Solve the equation.**

**Decide whether the given number is a solution of the
given equation.
**

22) Is -17 a solution of 4c + 5 - 3c = -23 + 11 ?

Answer Key

Testname: MATH095ST3.TST

1) 8x + 7

2) -3x + 3

3) -253w

4) 10x - 26

5) 50x + 45 inches

6) (66x + 102) square miles

7) -25

8) $815 million

9) 3

10) x - 16

11) -10

12) -9

13) 6

15) 4(-11 - 9) = -80

16) 28

17) 6

18) -6

19) 26x

-8

20) -20

21) 6

22) Yes

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