WorksheetsPreCalc Exam A Review
Total questions: 63
Worksheet time: 3hrs 6mins
Name
Class
Date
1.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
R: {1, -3, -4, 1}
2.
What is the domain of the graph?
a)
{-7, 5}
b)
{-3, 1}
3.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
4.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
5.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
6.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))
g(x) = x - 2
Find f(g(x))
a)
3x + 4
b)
3x - 4
c)
3x + 8
d)
None of these.
7.
When f(x) = 2x and g(x) = x2+3 , find g(f(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
8.
Which of the following are written in standard form?
a)
y=3x-5
b)
3x+16=5y
c)
2/3 x + 9/13 y = 21
d)
5x+7y=-12
9.
What is the x- intercept of the graph of 3x+4y=24
a)
12
b)
8
c)
-12
d)
-8
10.
What is the equation of the line?
a)
2x+7y=13
b)
3x+4y=12
c)
9x+5y=50
d)
x+y=5
11.
Find the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
12.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
13.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x if x < 4; -x+1 if x ≥ 4
b)
f(x) = { x if x ≤ 4; -x+1 if x > 4
c)
f(x) = { -x+1 if x < 4; x if x ≥ 4
d)
f(x) = { -x+1 if x ≤ 4; x if x > 4
14.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
15.
Are the points on the boundary line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
16.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
17.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
18.
What is the equation for the graph?
a)
f(x) ≥|x-2|
b)
f(x) >|x-2|
c)
f(x) ≥|x+2|
d)
I don't know
19.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
20.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
21.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
22.
Solve by elimination
5x+6y= -10
3x-2y= -6
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
23.
a)
[11 8
-4 2]
-4 2]
b)
[3 2
-6 -6]
-6 -6]
c)
[-3 2
-4 -6]
-4 -6]
d)
[10 8
-6 2]
-6 2]
24.
What is the inverse of this matrix?
a)
b)
c)
d)
25.
Solve the system.
a)
No Solution
b)
Infinitely Many Solutions
c)
(2, -1, 5)
d)
(3, -2, 1)
26.
Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg.
What is the objective function?
What is the objective function?
a)
M = 3x + 10y
b)
M = 10x + 3y
c)
M = 20x + 100y
d)
M = 100x + 20y
27.
Which system of inequality is shown?
a)
y > -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
b)
y > -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
c)
y ≥ -1/5x - 1/2
y ≤ -2x - 4
y ≤ -2x - 4
d)
y < -1/5x - 1/2
y ≥ -2x - 4
y ≥ -2x - 4
28.
If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?
a)
f(x - 3)
b)
f(x + 3)
c)
f(x) + 3
d)
f(x) - 3
29.
The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:
a)
f(x + 3) - 4
b)
f(x - 4) + 3
c)
f(x + 4) + 3
d)
f(x + 3) + 4
30.
The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:
a)
-f(x)
b)
f(-x)
31.
The original graph is f(x). The new graph is vertically stretched by a factor of 2. What is the equation for the new graph?
a)
2f(x)
b)
f(2x)
32.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
33.
What is the inverse of the points
(1,3)(2,4)(6,8)
(1,3)(2,4)(6,8)
a)
(3,1)(4,2)(8,6)
b)
(-3,-1)(-4,-2)(-8,-6)
c)
(1,3)(2,4)(6,8)
d)
(-1,-3)(-2,-4)(-6,-8)
34.
Find the inverse of f(x) = x2 - 5
a)
f-1(x) = √(x) + 5
b)
f-1(x) = ∛(x-5)
c)
f-1(x) = ±√(x+5)
d)
f-1(x) = x2 - 5
35.
y varies directly with x.
y is 84 when x is 16. What is the constant of proportionality?
y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k = 21
c)
k = 5.25
d)
k = 4/21
36.
Find the horizontal asymptote.
a)
y = -2
b)
none
c)
y = 0
d)
y = 1/2
37.
Use synthetic division
a)
2x3 + 3x + (7/x-4)
b)
2x2 + 3x + 8 + (7/x-4)
c)
2x2 + 3x + 8
d)
2x2 - x + 10 + (6/x-4)
38.
Is (x-3) a factor of
(x3 - 3x2 + 2x + 2)?
(x3 - 3x2 + 2x + 2)?
a)
Yes
b)
No
39.
a)
b)
c)
d)
40.
Solve :
a)
x = 6
b)
x = -6
c)
x = 6/7
d)
x = -6/7
41.
Solve the equation for x.
a)
7
b)
6
c)
14
d)
0
42.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
43.
a)
36
b)
18
c)
-18
d)
27
44.
Which function represents the given graph?
a)
b)
c)
d)
45.
Convert -34° 38' 12.3" to a decimal to the nearest thousandths of a degree
a)
-34.637°
b)
-33.363°
c)
-34.838°
d)
-34.466°
46.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
47.
What is the correct ratio?
a)
6/10
b)
6/8
c)
8/10
d)
8/6
48.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
49.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
50.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
51.
a)
A
b)
B
c)
C
d)
D
52.
Find the exact value of tangent 270º.
a)
0
b)
-1
c)
undefined
d)
1/2
53.
The point (-3, -2) is on the terminal side of an angle. What is the cosine?
a)
cosΘ = -3√13/13
b)
cosΘ = -2√13/13
c)
cosΘ = 2/3
d)
cosΘ = -√13/3
54.
sec[tan-1(-5)]
a)
√26
b)
-(√26)
c)
-(√26)/5
d)
(√26)/5
55.
tan[sin-1(3/7)]
a)
(√50)/3
b)
(3√10)/20
c)
(2√10)/3
d)
(5√41)/41
56.
How many triangles can you make if A=53°, b=6, and a=5?
a)
0
b)
1
c)
2
d)
Infinitely many
57.
What is the length of side x?
a)
130 cm
b)
112 cm
c)
150 cm
d)
105 cm
58.
f(g(x))
a)
3x - 16
b)
3x - 2
c)
3x - 26
d)
4x - 2
59.
If f(x) = 3x-1 and g(x) = x2+2,
what is (f ° g)(x) ?
a)
3x2 +5
b)
x2 +1
c)
3x2 +1
d)
3x2 +6
60.
If f(x) = x-5 and g(x) = 3x2-1,
what is (f ° g)(x) ?
a)
3x2-5
b)
3x2-1
c)
3x2-4
d)
3x2-6
61.
Choose the correct inequality for this graph.
a)
b)
c)
d)
62.
Which of the following equations match the given graph?
a)
y ≤ -5/4 x + 3
b)
y ≥ -5/4 x + 3
c)
y < -5/4 x + 3
d)
y > -5/4 x + 3
63.
a)
y < -3/4x - 2
b)
y > -3/4x - 2
c)
y ≤ -3/4x - 2
d)
y ≥ -3/4x - 2
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