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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
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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