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Exam 1 Review MAC 1105 Spring 2010
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Plot the given point in a rectangular coordinate system.
1) (-1, 0)
1)
A)
B)
C)
D)
Graph the equation.
R1
2) y = x2 - 3
2)
A)
B)
C)
D)
R2
Use the graph to determine the x- and y-intercepts.
3)
3)
A) x-intercept: -1; y-intercept: 6
C) x-intercept: 1; y-intercept: 6
B) x-intercept: -1; y-intercept: -6
D) x-intercept: -6; y-intercept: 6
Find all values of x such that y = 0.
x+7 x-1 4
+
4) y =
6
2
3
A) {16}
4)
B) {1}
C) {0}
D) 5
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
5) 5(5x - 41) = 25x - 205
A) Identity
B) Conditional equation
C) Inconsistent equation
Solve and check the linear equation.
6) -6[6x + 5 + 3(x + 1)] = -5x + 6
6
A)
B) 9
49
C) - 1
54
D) 49
Solve the problem.
7) The equation V = -3000t + 24,000 describes the value in dollars of a certain model of car after it is t
years old. If a car is worth $9000, substitute 9000 into the equation to find the age of the car.
A) 6 years
B) 7 years
C) 4 years
D) 5 years
Add or subtract as indicated and write the result in standard form.
8) 5i + (-5 - i)
A) 5 - 4i
B) 5 - 6i
C) -5 + 4i
D) -5 + 6i
Find the product and write the result in standard form.
9) (6 + 3i)(6 - 3i)
A) 36 - 9i
B) 27
D) 36 - 9i2
C) 45
R3
5)
6)
7)
8)
9)
Divide and express the result in standard form.
7i
10)
5+i
A)
7
35
+
i
26 26
B)
10)
7
35
+
i
24 24
C) -
7
35
+
i
26 26
D)
7
35
i
26 26
Solve the equation.
x x
11) 39 - =
4 9
11)
D)
507
2
Perform the indicated operations and write the result in standard form.
12) -7 - -169
A) 7i - 13i
B) i( 7 - 13)
C) i( 7 + 13)
D)
7i - 13
Solve the equation by factoring.
13) 15x2 + 22x + 8 = 0
4 2
,
A)
5 3
4
2
D) - , 5
3
A) {3}
B) {108}
C)
4
2
,B)
5
3
169
12
4
1
,C) 15
4
Solve the equation by the square root property.
14) 4(x - 2)2 = 28
A) {2 ± 7}
B) {-5, 9}
12)
13)
14)
C) {-9, 5}
D) {-2 ±
7}
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write
and factor the trinomial.
4
15) x2 + x
15)
3
8
4
8
4 2
2
4
2
2 2
A) ; x2 + x + = x +
B) ; x2 + x + = x +
9
3
9
3
9
3
9
3
2
4
4
4
2
4
4
4
2 2
C) ; x2 + x + = x +
D) ; x2 + x + = x +
9
3
9
3
3
3
3
3
Perform the indicated operations and write the result in standard form.
-18 + -18
16)
3
A) -6 + i 2
B) -6 + i 3
C) 6 + i 2
Solve the equation by the method of your choice.
17) (x + 4)(x - 1) = 8
-3 ± 57
3 ± i 57
A)
B)
2
2
16)
D) -6 - i 2
17)
C)
-3 ± i 57
2
Find the x-intercept(s) of the graph of the equation. Graph the equation.
R4
D)
3±
2
57
18) y = x2 + 3x + 2
18)
A) x-intercepts: 1 and 2
B) x-intercepts: -1 and -2
C) x-intercepts: 1 and 2
D) x-intercepts: -1 and -2
R5
Answer Key
Testname: EXAM1_REVIEW
1) C
2) B
3) A
4) B
5) A
6) D
7) D
8) C
9) C
10) A
11) B
12) B
13) D
14) A
15) C
16) A
17) A
18) B
R6
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