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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

Solve the equation .

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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