COLLEGE MATHEMATICS FOR BUSINESS, ECONOMICS, LIFE SCIENCES, AND
SOCIAL SCIENCES
14TH EDITION
CHAPTER NO. 01: LINEAR EQUATIONS AND GRAPHS
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem. Express your answer as an integer or simplified fraction.
1 1
1) (x + 15) - (x - 6) = x - 5 1) D
5 6
90 30 210 270
A) B) C) D)
29 29 29 29
2) 7x - (5x - 1) = 2 2) B
1 1
A) - 1 B) C) D) - 1
2 2 12 12
x -4= x -3 B
3) 3)
6 3
A) 14 B) - 6 C) - 14 D) - 2
4) -4(4x + 4) - 1 = -5(x + 1) + 3x 4) A
6 1 4 2
A) - B) C) D) -
7 7 7 3
5x - 7 = 7x + 3
5) 5) D
5 2
1 29
A) B) - 1 C) D) - 29
45 25 45 25
x - 5 = x+6
6) 6) B
16 8 8
A) - 17 B) - 22 C) - 11 D) - 16
7) Solve: x - 2 - x - 3 = 3 - x - 3 7) C
3 6 2
A) - 3 B) 3 C) - 2 D) 2
,Solve the inequality and graph. Express your answer in interval notation.
8) 7x - 3 > 6x - 6 8) B
A) (-9, ∞)
B) (-3, ∞)
C) [-3, ∞)
D) (-∞, -3]
9) -3(3x + 6) < -12x - 15 9) C
A) (-∞, 1]
B) [1, ∞)
C) (-∞, 1)
D) (1, ∞)
,10) 18x + 3 > 3(5x - 1) 10) C
A) (-∞, -2]
B) (-∞, -2)
C) (-2, ∞)
D) [-2, ∞)
11) -4(-2 - x) < 6x + 19 - 11 - 2x 11) C
A) (-∞, 8) B) (-∞, ∞)
C) ∅ D) (-∞, 0)
, 12) -23 ≤ -4x - 3 ≤ -19 12) A
A) [4, 5]
B) [-5, -4]
C) (4, 5)
D) (-5, -4)
Solve the formula for the specified variable.
13) S = 2πrh + 2πr2 for h 13) A
2
A) h = S - 2πr B) h = S - r C) h = 2π(S - r) D) h = S - 1
2πr 2πr
14) 7x + 10y = 19 for y 14) A
A) y = - 7 x + 19 B) - 7x - 10y = -19
10 10
C) y = 7x - 19 D) y = 7 x + 19
10 10
15) F = 9 C + 32 for C 15) B
5
A) C = 9 (F - 32) B) C = 5 (F - 32) 5
C) C = D) C = F - 32
5 9 F - 32 9
16) Solve: D = 4 (mx - mb) for m 16) B
5
5D 5D 4D 4D
A) m = B) m = C) m = D) m =
4(x + b) 4(x - b) 5(x - b) 5(x + b)
Solve the problem.
17) Find the Celsius temperature (to the nearest degree) when Fahrenheit temperature is 95° by 17) A
solving the equation 95 = 9 C + 32, where F is the Fahrenheit temperature (in degrees) and C is
5
the Celsius temperature.
A) 35°C B) 177°C C) 203°C D) 49°C