Review
Test 1
Math 1314
Name___________________________________
Solve the equation.
13) 48x3 - 64x2 - 3x + 4 = 0
Solve the equation.
1) t2 - 9t = -14
14)
4z
2
+
= -3
z-4 z-2
15)
3
3x - 21
3
+
=
x x-8
x-8
2) y2 - 15y = 0
3) 10m(m + 3) = 13m - 3
4) 16s2 = 25
16)
Solve the equation by using the square root
property.
5) (7x + 4)2 = 81
6) t -
12
c2 - 2c
+3=
6
c-2
17) 2x - 5 + 3 = 2x + 5
15
12
=4
16
18) 3 + 3x + 5 = 3
19) 9z4 + 123z2 + 400 = 0
Solve the quadratic equation by completing the
square and applying the square root property.
7) u2 + 8u + 17 = 0
Solve the equation by using substitution.
20) (t + 8)2 - (t + 8) - 12 = 0
8) n2 + 12n = -17
Solve the inequality. Write the solution set in
interval notation.
3
1
1
x+1
21) (x + 4) - (x - 2)
3
4
2
Solve the equation by using the quadratic formula.
9) 11y - 6 + 30y2 = 0
10) 6y + 3 = -4y2
11) -
22) -2(7y - 7) + y > 2y - (-2 + y)
4 1
= x - 5x2
3 6
23) -2 < -2y + 15 < 12
Solve the compound inequality. Write the answer
in interval notation.
24) 17 < 3x or 20 + 2x 11
Use the discriminant to determine the type and
number of solutions.
12) 4x2 + 3x + 2 = 0
1
Solve the absolute value equation.
25) 2x - 1 - 5 = -5
Determine the x- and y-intercepts for the given
function.
36) q(x) = x2 - 18
26) -2|x + 2| + 10 = 2
37) r(x) = |x + 10|
Solve the absolute value inequality. Write the
solution in interval notation.
27) 24 2 + -4t + 1
28)
MULTIPLE CHOICE. Choose the one alternative
that best completes the statement or answers the
question.
m-6
< 13
2
Determine the domain and range of the function.
38)
Determine the center and radius of the circle.
29) (x + 1)2 + (y + 4)2 = 36
Use the given information about a circle to find its
equation.
30) center (-7, -9) and diameter 10
Use the given information about a circle to write
an equation of the circle in standard form.
31) The center is (5, 2) and another point on
the circle is (11, 10)
A) Domain: (- , -1]; Range: [-4, )
B) Domain: [-4, ]); Range [-3, - )
C) Domain: (-4, ); Range: (- , -1)
D) Domain: [-4, ); Range: (- , -1]
Write the equation in standard form to find the
center and radius of the circle.
32) x2 + y2 + 6x + 16y + 26 = 0
Find the exact distance between the points.
39) ( 7, - 2) and (-6 7, -4 2)
Identify the domain and range of the relation, and
determine whether the relation is a function.
33) {(-3, -17), (-1, 0), (6, 9), (8, 15)}
Find the midpoint of the line segment whose
endpoints are the given points.
40) ( 5, - 7) and (6 5, 5 7)
Evaluate as indicated.
34) Find f (a + 3) for the given function.
f(x) = x - 4
Graph the equation and identify the x- and
y-intercepts.
41) -4x - 5y = 20
35) If f (x) = 4x2 + 5x - 2, find and simplify
f (2 + x).
2
Determine the slope of the line passing through the
given points.
42) (-10, -5) and (-8, -11)
Use the graph of y = f (x) to answer the questions.
43)
a. Determine f (-3)
b. Find all x for which f (x) = -4
Determine the x- and y-intercepts for the given
function.
44) g(x) = 9x - 13
45) f (x) =
x-8
3
Answer Key
Testname: REVIEW TEST 1- SUMMER 2016
1) {7, 2}
2) {0, 15}
1 3
3) - , 5 2
4) -
5 5
,
4 4
5)
5 13
,7
7
6)
15
1
±
i
4
4
7) {-4 ± i}
8) {-6 - 19, -6 + 19}
2 3
9) - ,
3 10
10) -
3 i 3 3 i 3
+
,- 4
4
4
4
11) -
1 8
,
2 15
12) Two imaginary solutions
4 1
13) , ±
3 4
14)
4 2
12
±
7
7
15) {1}
16) { }
181
17)
72
18) -
5
3
19) -
5 3
4 3 4 3 5 3
i, i,
i,
i
3
3
3
3
20) {-4, -11}
,2
21)
6
,
22)
7
4
Answer Key
Testname: REVIEW TEST 1- SUMMER 2016
23)
3 17
,
2 2
24)
,-
25)
9
2
17
,
3
1
2
26) {-6, 2}
21
,27)
4
23
,
4
28) (-20, 32)
29) Center: (-1, -4); Radius: 6
30) (x + 7)2 + (y + 9)2 = 25
31) (x - 5)2 + (y - 2)2 = 100
32) (x + 3)2 + (y + 8)2 = 47; center (-3, -8), radius 47
33) Domain: {-3, -1, 6, 8}; Range: {-17, 0, 9, 15}; Function
34) a - 1
35) 4x2 + 21x + 24
36) x-intercepts: (3 2, 0), (-3 2, 0);
y-intercept: (0, -18)
37) x-intercept: (-10, 0); y-intercept: (0, 10)
38) D
39) 19
7 5
,2 7
40)
2
41) x-intercept: (-5, 0); y-intercept: (0, -4)
42) m = -3
5
Answer Key
Testname: REVIEW TEST 1- SUMMER 2016
43) f (-3) = 1; f (x) = -4 for all x on the interval (-1, 2)
13
, 0 ; y-intercept: (0, -13)
44) x-intercept:
9
45) x-intercept: (64, 0); y-intercept: (0, -8)
6