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WorksheetsMixed Math Practice
Total questions: 60
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
2.
a)
(-3, 4)
b)
[-3, 4]
c)
(-1, 4)
d)
[-1, 4]
3.
a)
[-3, 2)
b)
(-4, 2]
c)
(-5, 2]
d)
[-4, 2]
4.
Where is the function increasing?
a)
(4, ∞)
b)
(−4, ∞)
c)
(6, ∞)
d)
4 < x < 6
5.
Name the x-intercept(s)?
a)
(0,0) only
b)
(4,0) only
c)
(2,4)
d)
both (0,0) and (4,0)
6.
What is the increasing interval for this function?
a)
(-6, -2)
b)
(-∞, ∞)
c)
(-2, 6)
d)
(-1, 3)
7.
Over which interval of time is this person returning home?
a)
8:00 < x < 9:00
b)
9:00 < x < 9:30
c)
9:30 < x < 11:00
d)
12:00 < x < 13:00
8.
.
If the blue is f(x)=x2, then the red must be
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
9.
.
If the blue is f(x)=x2, the red must be
If the blue is f(x)=x2, the red must be
a)
g(x)=(x+3)2
b)
g(x)=(x-3)2
c)
g(x)=x2+3
d)
g(x)=x2-2
10.
What are the following transformations?
- f(x+2)
- f(x+2)
a)
reflection over the y axis and 2 units to the right
b)
reflection over the x axis and 2 units right
c)
reflection over the y axis and 2 units left
d)
reflection over the x axis and 2 units left
11.
What are the following transformations:
f(-x) - 4
f(-x) - 4
a)
reflection over the x axis and 4 units right
b)
reflection over the x axis and 4 units down
c)
reflection over the y axis and 4 units right
d)
reflection over the y axis and 4 units down
12.
Identify the transformation from the graph of f(x)=2x to the graph g(x)=2x-3
a)
shifted up three units
b)
shifted down three units
c)
shifted left three units
d)
shifted right four units
13.
What are the transformations?
y=-3|x-4|+2
y=-3|x-4|+2
a)
Horz shift left 4, Reflect over the x axis, up 2
b)
Horz shift left 4
Horz reflection over y axis
Vert shift up 3
Vert shift up 2
Horz reflection over y axis
Vert shift up 3
Vert shift up 2
c)
Horz shift right 4
Horz reflection over x axis
Vert stretch by a factor of 3
Vert shift up 2
Horz reflection over x axis
Vert stretch by a factor of 3
Vert shift up 2
d)
Horz shift right 4
Horz reflection over y axis
Vert stretch by a factor of 2
Vert shift up 3
Horz reflection over y axis
Vert stretch by a factor of 2
Vert shift up 3
14.
Which function has a translation of 2 units right and a vertical stretch by a factor of 5?
a)
f(x)= 5(x - 2)2
b)
f(x) = 5(x + 2)2
c)
f(x) = (x - 2)2 - 5
d)
f(x) = (x + 2)2 + 5
15.
a)
g(x)=2x2
b)
g(x)=0.5x2
c)
g(x)=x2+2
d)
g(x)=(x+2)2
16.
Find the inverse of f(x) = 5/11x +10
a)
f-1(x) = 11/5x - 22
b)
f-1(x) = 5/11x - 22
c)
f-1(x) = 11/5x - 20
d)
None of the above
17.
If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, 1) and (6, 4)
18.
What is the equation that the inverse will reflect across?
a)
y = x
b)
y = 0
c)
x = 0
d)
Potato
19.
a)
-19
b)
-21
c)
17
d)
-1
20.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
21.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
22.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
23.
Evaluate f(33)
a)
33
b)
11
c)
10
d)
8
24.
Evaluate f(x)=-2t2+ 1 for f(-3)
a)
19
b)
37
c)
-17
d)
-11
25.
If F(x) = x - 1 and G(x) = 2x + 3, which of the following represents F(x) + G(x) + 10?
a)
3x + 2
b)
3x + 12
c)
2x + 2
d)
2x + 12
26.
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f - g)(x).
a)
x2 + 8x + 1
b)
x2 + 6x - 1
c)
5x2 + 8x - 1
d)
x2 + 8x -1
27.
When f(x) = 2x and g(x) = x2+3 , find f(g(x)).
a)
x2+2x+3
b)
4x2+3
c)
2x2+3
d)
2x2+6
28.
What is g(f(x))?
a)
(2x-4)/x
b)
1/(2x-4)
c)
(2/x)-4
d)
DNE
29.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
30.
For what value of x does f(x) = -2?
a)
0
b)
-5
c)
3
d)
-3
31.
The graph represents the height of a burning candle. What is the meaning of the y-intercept?
a)
the time it takes to burn the entire candle
b)
the rate at which the candle is losing height
c)
the change in the height of the candle each hour
d)
the original height of the candle
32.
Judy can decorate 3 cakes in 5 hours. Which graph best represents this scenario?
a)
A
b)
B
c)
C
d)
D
33.
The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?
a)
The tank started with 50 L of gasoline
b)
the amount of gasoline consumed per km driven
c)
the distance it takes to lose a Liter of gas
d)
the gasoline is leaking because the slope is negative.
34.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
35.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
36.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
37.
What is the solution to this system?
x - y = 6
y= 2x - 5
x - y = 6
y= 2x - 5
a)
(1,3)
b)
(-1,3)
c)
(-1,-7)
d)
(1,-7)
38.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
39.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
40.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
41.
What is the solution?
(Hint: Both lines are graphed over each other)
(Hint: Both lines are graphed over each other)
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
42.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
43.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
44.
Factor:
x2 - 14x + 24
x2 - 14x + 24
a)
(x - 8)(x - 3)
b)
(x - 12)(x - 2)
c)
(x - 6)(x - 4)
d)
(x - 24)(x - 1)
45.
Write y = x2 + 4x - 1 in vertex form. (Hint: Complete the square!)
a)
y = (x - 2)2 + 5
b)
y = (x + 2)2 - 5
c)
y = (x + 2)2 - 1
d)
y = (x +2)2 + 3
46.
Convert the equation y= x2-2x-5 into vertex form.
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
47.
Solve the square root equation:
a)
A
b)
B
c)
C
d)
D
48.
a)
x = {7, 6}
b)
x = 7
c)
x = 6
d)
x = -7
49.
What are all the POSSIBLE rational roots of x3 - 4x2 + 5x - 12? (Hint: Ps and Qs)
a)
+-1, +-2, +-3, +-4, +-6, +-12
b)
+-1, +-2, +-3, +-4, +-6
c)
+-2, +-3, +-4, +-6, +-12
d)
+-1, +-2, +-4, +-6, +-12
50.
What are the zeros of the function?
a)
4,1
b)
3,1,-2,-5
c)
-3, -1, 2, 5
d)
-2,4
51.
A polynomial function with rational coefficients has the follow zeros: −3 + √5 and −i . Find all additional zeros.
a)
−3 - √5
b)
−3 - √5 and i
c)
−3 - √5 and -i
d)
3 + √5
52.
What is the degree of the polynomial function
P(x)=3x4-7x2-2x7-x+4
P(x)=3x4-7x2-2x7-x+4
a)
4
b)
7
c)
2
d)
11
53.
What is the factored form of a function if it has zeros of 2, 3 and -1?
a)
(x-2)(x-3)(x+1)
b)
(x-1)(x-2)(x-3)
c)
(x-1)(x+2)(x+3)
54.
If 2i is a zero, then
a)
2i repeats twice
b)
-2i is a zero too
c)
1-2i is a zero too
d)
0+2i is a zero too
55.
Use long division
a)
4x - 2
b)
4x + 2
c)
4x - 2 + (1/3x - 1)
d)
4x + 2 + (1/3x - 1)
56.
3x3 + 5x - 1 ÷
x + 1
x + 1
a)
3x3 - 3x2 + 8x - 9
b)
3x2 - 3x + 8 - 9/x+1
c)
3x2 + 3x + 8 + 7/x+1
d)
3x3 + 3x2 + 8x + 7
57.
a)
A
b)
B
c)
C
d)
D
58.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
59.
Factor: 27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
60.
25x2y2 - 100
a)
( 5xy - 10) (5xy + 10)
b)
( 5xy + 10) (5xy + 10)
c)
Prime
d)
( 5xy - 50) (5xy + 50)
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