Math 25 - Practice Test #1
Wardak - Fall 2011
Name ______________________________
Solve the equation by factoring.
1) 3x2 - 20x = 7
Solve the absolute value equation.
13) 2m + 3 = 7
Solve the inequality.
14) 3x + 12 < 9 or 3 + x > 10
2) 15x2 + 22x + 8 = 0
Solve the equation by the square root property.
3) (3x - 2)2 = 20
Solve the problem.
15) 4 - 5x ≤ 14 and 4x - 3 ≤ 13
Solve the equation by completing the square.
4) x2 - 4x - 21 = 0
Solve the absolute value equation.
16) x + 5 - 4 = 13
5) 5x2 - 2x - 6 = 0
Solve the equation.
17) x - 9 = 2 - x
Solve the equation using the quadratic formula.
6) 16x2 - 48x = -36
Solve the inequality.
18) |19x - 7| < -2
Solve the equation by multiplying both sides by the LCD.
16
2
7)
= 1 + b + 2
b - 4
19) ∣3x + 2∣ < 15
Find the distance between P and Q.
20) P(-5, -4), Q(-10, 8)
Solve the equation.
8) 2x + 11 = x + 7
9)
Find the coordinates of the midpoint of the line segment
PQ.
21) P(8, 9), Q(5, 3)
2x + 5 - x - 2 = 3
Solve the inequality. Write the solution in interval
notation and graph the solution set.
10) 2x + 4 < 16
Find the x- and y-intercepts of the graph of the equation.
22) 25y - 5x = -10
Find the slope of the line through the given pair of points.
23) (4, 9) and (1, 8)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
11) 7x - 4 ≥ 6x - 7
Find an equation in slope -intercept form of the line that
passes through the given point and has slope m.
3
24) (4, 3); m = - 8
Determine whether the pair of lines is parallel,
perpendicular, or neither.
12) 3x - 4y = 7
8x + 6y = 7
Find an equation in slope -intercept form for the
nonvertical lines. Write the vertical lines in the form x =
h.
25) Passing through (8, 2) and (0, -3)
1
Graph the equation by plotting points.
26) y = x - 7
Graph the function.
x3 if x ≤ 1
33) f(x) = 3
x if x > 1
y
10
10
y
8
5
6
-10
-5
5
10
4
x
2
-5
-10 -8
-6
-4
-2
2
-2
-10
-4
-6
-8
27) y = |x| + 5
-10
y
10
5
-10
-5
5
10
x
-5
-10
Find the domain of the function.
1
28) f(x) = x2 + 6x - 16
29) H(x) = x
x - 9
Determine whether the given function is even, odd, or
neither.
x
30) f(x) = 2
x - 4
Find the average rate of change of the function as x
changes from a to b.
31) f(x) = -5x + 6; a = -2, b = 4
Write a linear function f that has the indicated values.
32) f(8) = -7, f(0) = -4
2
4
6
8
x
Answer Key
Testname: MATH 25 PT‐1
1
1) - , 7
3
2
4
2) - , - 3
5
2 - 2 5 2 + 2 5
, 3
3
3)
4) {-3, 7}
1 - 31 1 + 31
5)
, 5
5
3
2
6)
7) {6, 10}
8) {8}
9) {2, 38}
10) (-∞, 6)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
11) [-3, ∞)
-10 -9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
12) Perpendicular
13) 2, - 5
14) (-∞, -1) ∪ (7, ∞)
15) [-2, 4]
16) {-22, 12}
11
17)
2
18) ∅
19) - 17 13
, 3 3
20) 13
13
21)
, 6
2
22) x-intercept: 2; y-intercept: - 23)
2
5
1
3
3
9
24) y = - x + 8
2
5
25) y = x - 3
8
3
Answer Key
Testname: MATH 25 PT‐1
26)
y
10
5
-10
-5
5
10
x
5
10
x
-5
-10
27)
y
10
5
-10
-5
-5
-10
28) (-∞, -8) ∪ (-8, 2) ∪ (2, ∞)
29) (9, ∞)
30) Odd
31) -5
3
32) f(x) = - x - 4
8
33)
10
y
8
6
4
2
-10 -8
-6
-4
-2
2
4
6
8
x
-2
-4
-6
-8
-10
4