Download Math 1314 Test # 1

Math 1314
Test # 1 (Review)
Name___________________________________
Solve the equation by factoring.
1) 8x2 + 22x + 15 = 0
5 3
A) { , }
4 2
B) {-
5
1
,- }
8
5
C) {-
5
3
,- }
4
2
5
3
D) { , - }
4
2
C) ±
7
9
D)
Solve the equation.
2) 81k2 - 49 = 0
A) ±
9
7
B) 7, 0
9
,0
7
Solve the equation by the square root method.
3) (2x - 5)2 = 9
A) {-8, -2}
B) {2, 8}
C) {4 , 8}
D) {-4, -1}
E) {1, 4}
Determine the number that will "complete the square".
4) 2x2 - 6 x + 2 = 0
A) 36
B) -3
C) -
3
2
D)
9
4
E) 9
Solve the equation using the quadratic formula.
5) 2x2 + 12x + 3 = 0
A)
-12 - 30 -12 + 30
,
2
2
B)
-6 - 42 -6 + 42
,
2
2
C)
-6 - 30 -6 + 30
,
4
4
D)
-6 - 30 -6 + 30
,
2
2
Solve the equation.
4
9
-27
6)
+
=
x-3
x
x2 - 3x
A) {0, 3}
B) ∅
C) {0}
D) {-3}
E) { 3 }
Solve the radical equation.
7) x - 4 = 3x - 2
A) {1, 2}
B) {2, 9}
C) {-1}
D) {9}
Solve the equation.
8) Solve:
x
2
3
- x
1
3
- 20 = 0
A) {-64 ,-125}
B) {64 , 125}
C) {64 ,-125}
D) {-64 , 125}
E) {12, 15}
Solve the quadratic Inequality:
9) Solve:
x2 - 2x ≥ 35
A) (-∞ , -7) ∪ (-5 , ∞)
B) (-∞ , -5] ∪ [7 , ∞)
C) [-5 , 7]
1
D) (-∞ , -7] ∪ [5 , ∞)
Solve the rational inequality.
x-8
10)
>0
x+5
A) (-∞, -5) or (8, ∞)
B) (-5, 8)
C) (-∞, -5)
D) (8, ∞)
Solve the equation.
11) |8m + 1| + 7 = 12
A) ∅
B)
Solve the inequality.
12) 3 x + 3 ≤ 15
A) [-4 , 6]
1
3
,2
4
C) -
14
4
,5
5
B) (-6 , 4)
C) [-6 , 4]
B) - 3, 1
C) -∞, -
D) -
14
4
,9
9
D) (-∞ ,- 6] ∪ [4 , ∞)
Solve the inequality.
13) |3 + 3x| > 6
A) -∞, - 3 ∪ 1, ∞
1
11
,∞
∪
3
3
D) 1, 3
14) Find the "distance" between points (-4 ,-7) and (2 ,-1).
A) 6
B) 36
C) 6 2
D) 2 6
E) 72
Find the x-intercepts and y-intercepts of the graph of the equation.
15) y = 4 - x2
A) y-intercept (0, 2), x-intercepts (- 2, 0) and (2, 0)
C) y-intercept (0, 4), x-intercepts (- 2, 0) and (2, 0)
B) y-intercept (4 , 0), x-intercepts (0,- 2) and (0, 2)
D) y-intercept (0, 4), x-intercept (2, 0)
Write the standard form of the equation of the circle with the given center and radius.
16) (6, 7); 13
A) (x - 7)2 + (y - 6)2 = 169
B) (x + 7)2 + (y + 6)2 = 169
C) (x + 6)2 + (y + 7)2 = 13
D) (x - 6)2 + (y - 7)2 = 13
Find the center and the radius of the circle .
17) x2 + y2 - 4x + 10y - 52 = 0
A) (-2, 5) ; r = 81
B) (-5, 2) ; r = 9
C) (2, -5) ; r = 9
D) (-2,-5) ; r= 9
E) Not a circle
18) Determine whether each relation is "function".
1) { (-2 , 4) , (-1 , 5) , ( 1 , 7) , (2 , 8) }
4) y = x + 3 ; 5) x = y2 - 1
A) 1,4
;
2 ) x2 + y2 = 9 ;
B) 1,3,4
3) y =
x-2
C) 1
D) 1,3
C) x2 - x - 4
D) x2 - 2x - 4
Evaluate the function at the given value and simplify.
19) f(x) = x2 - 5 ;
f(x - 1)
A) x2 - 2x - 6
B) x2 - 4
2
Find the average rate of change of the functionfrom x1 to x 2 (avg. rate of change = "slope" of secant line =
20) f(x) = -3x2 - x from x1 = 5 to x2 = 6
1
A)
B) -2
2
C) -34
f(x2 ) - f(x1 )
D) -
x2 - x1
).
1
6
Find The domain.
21) f(x) =
5
2
x - 36
A) (-∞, -6) ∪ (6, ∞)
C) (-∞, -6) ∪ (-6, 6) ∪ (6, ∞)
22) Find the domain for :
A) [-7 , ∞)
B) (-∞, 6) ∪ (6, ∞)
D) (-6 , 6)
f(x) = 14 - 2x
B) [7 , ∞)
C) (-∞, 7) ∪ (7 , ∞ )
D) (- ∞, 7]
Find an equation of the line passing through the two points. Indicate the type of the line.
23) (-7, -5) and (2, -5)
A) x = -5 ;vertical
B) y = 0 ; horizontal
C) y = - 5 ; horizontal
D) y = -5 ; vertical
Find an equation of the line passing through the two points. Write the equation in standard form.
24) (-7, -5) and (2, 5)
A) 2x + 3y = -11
B) 10x - 9y = -25
C) -2x - 3y = -11
D) -10x - 9y = -25
Find an equation of the the line satisfying the given conditions.
25) Through (9, -2); perpendicular to 6x - 5y = 44
A) 5x + 6y = 42
B) 6x - 5y = 33
D) 9x + 5y = 44
C) 5x + 6y = 33
3