State University of New York at Farmingdale Algebra Problems

Quiz #2Name___________________________________
ESSAY. Write your answer in the space provided or on a separate sheet of paper.
Find the real solutions of the equation. (Show your work)
1) (3x – 2)2 – 9(3x – 2) + 18 = 0
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the inequality. Express your answer using interval notation.
2) 8x + 4
2)
7x + 6
A) [2, )
B) (- , 2]
C) [10, )
D) (- , 2)
Find the real solutions of the equation. (Show your work)
3)
7x + 8 = 8
64
A) { }
7
B) {8}
C) {64}
1
72
D) { }
7
3)
Solve the inequality. Express your answer using interval notation.
4) |x + 1| – 6
4)
-3
A) (- , -4) or (2, )
B) [4, -3]
C) [-4, 2]
D) no solution
Solve the problem.
5) A college student earned $6300 during summer vacation working as a waiter in a popular
restaurant. The student invested part of the money at 9% and the rest at 8%. If the student received
a total of $543 in interest at the end of the year, how much was invested at 9%?
A) $2400
B) $3900
C) $787
5)
D) $3150
Find the distance d(P1 , P2 ) between the points P1 and P2. (Show your work)
6) P1 = (1, -3); P2 = (-4, -15)
A) 26
6)
B) 169
C) 13
D) 14
List the intercepts for the graph of the equation.
7) y = x2 + 16
7)
A) (16, 0)
B) (0, 16)
C) (0, 16), (-4, 0), (4, 0)
D) (16, 0), (0, -4), (0, 4)
Find the real solutions of the equation by factoring.
8) x3 – 81x = 0
A) {0, 9, -9}
8)
B) {0, 81}
C) {0, -9}
D) {0, 9}
Determine whether the graph of the equation is symmetric with respect to the x-axis, the y-axis, and/or the origin.
7x
9) y =
9)
2
x + 49
A) x-axis
B) y-axis
C) origin
D) x-axis, y-axis, origin
E) none
Find an equation for the line, in the indicated form, with the given properties.
10) Containing the points (-4, -8) and (-3, 7); slope-intercept form
A) y = 15x + 52
B) y = – 15x + 52
C) y + 8 = 15(x + 4)
2
10)
D) y = mx + 52