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Worksheets

MP Recovery

Total questions: 85

Worksheet time: 4hrs 5mins

Name
Class
Date
1.
a)
(2, -2)
b)
(2, 2)
c)
(-2, 2)
d)
(-2, -2)
2.
a)
Infinitely Many Solutions
b)
No Solution
3.
What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21
a)
(3,-9)
b)
(-3,-9)
c)
(-3,9)
d)
(0,1)
4.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
5.

What is the solution to this system of equations? Solve by substitution or graphing.

a)

(7, -8)

b)

(-7, 8)

c)

(-7, -8)

d)

(7, 8)

6.
Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24
a)
(3, 6)
b)
(-3, -6)
c)
(-3, -4)
d)
(3, -6)
7.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
8.
When does a system of equations have no solutions?
a)
When the lines cross
b)
When slopes of the lines are different
c)
When the slopes are the same
d)
There is ALWAYS a solution sir!
9.
Parallel lines have ____ solution(s).
a)
No
b)
One
c)
Many
10.
Two equations that produce the same line have _____ solution(s).
a)
no
b)
one
c)
infinitely many
11.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
16.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
17.

Which type of regression model does the scatter plot appear to show?

a)

linear

b)

exponential

c)

quadratic

18.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
19.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
20.

Solve for x:

12 = 20x - 8

a)

1

b)

-2

c)

-1

d)

2

21.
Solve for x:
5 + 3x = 8x - 15
a)
10
b)
4
c)
2
d)
20/11
22.
Solve the following equation,
7x - 9 = 33
a)
x = 24/7
b)
x = 42
c)
x = 24
d)
x = 6
23.
Solve the following equation,
x - 23 = 17
a)
-6
b)
6
c)
40
d)
-40
24.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
25.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
26.
a)
4y6
b)
4y22
c)
30y6
d)
30y22
27.
a)
110
b)
126
c)
z10
d)
z26
28.
Product Rule states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
29.
Power Rule states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
30.
Division Rule states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
31.
2.) Simplify
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
32.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
33.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
34.
7⁰
a)
1
b)
7
c)
0
d)
-7
35.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
36.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
37.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
38.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
39.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
40.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
41.
(x + 7)(x - 2)
a)
x2 - 5x + 5
b)
x2 - 9x - 14
c)
x2 - 5x - 14
d)
x2 + 5x - 14
42.
(x - 4)(x - 6)
a)
x2 -10x + 24
b)
x2 - 10x - 24
c)
x2 +10x + 24
d)
x2 + 10x - 24
43.
Multiply  7x2y3 (2x4y5+6xy3)
a)
14x8y15+42x2y9
b)
9x6y8+13x3y6
c)
14x6y8+42x3y6
d)
14x6y8+42x2y6
44.
(5c-2)(3c2-5c+4)
a)
15c3-31c4+30c2-8
b)
15c3-19c2+10c-8
c)
15c3-31c2+30c-8
d)
15c3-31c2+30c+8
45.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
46.
(3x − 6)(7x + 7)
a)
21x2 − 63x + 42
b)
21x2 − 21x − 42
c)
21x2 − 42
d)
21x2 + 63x + 42
47.
Simplify: (3x4 + 2x - 4x2) + (5x2 - 8x + 6x4)
a)
 9x4 + 10x + 9x2
b)
9x4 + x2 - 6x
c)
 3x4 + 9x2 + 6x
d)
3x4 - 6x + x2
48.
What is another name for the x-intercepts of a quadratic?
a)
y-intercept
b)
Zeros
c)
x-axis
d)
They don't have another name
49.
a)
Function
b)
Not a Function
50.
Which ordered pair could represent the x-intercept of a function.
a)
(0, 4)
b)
(4, 4)
c)
(4, 0)
d)
None of these.
51.
What is the x-intercept for the given graph?
a)
1
b)
-2
c)
2
d)
1/2
52.
What is the x-intercept shown on the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 3)
d)
(3, 0)
53.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
54.
What is the y-intercept?
a)
-1
b)
3
c)
-3
d)
-2
55.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
-5
56.

Determine the equation for the line

a)

y=23x+3y=\frac{2}{3}x+3

b)

y=23x+2y=\frac{2}{3}x+2

c)

y=23x2y=\frac{2}{3}x-2

d)

y=2x+23y=-2x+\frac{2}{3}

57.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
58.

The set of all y values used in a function's graph is called what?

a)

Increasing interval

b)

Decreasing interval

c)

Domain

d)

Range

59.

The set of all x values used in a function's graph is called what?

a)

Increasing interval

b)

Decreasing interval

c)

Domain

d)

Range

60.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
61.
What is the range of this function?
a)
(- ∞,+∞)
b)
[0, +∞)
c)
[-2, +∞)
d)
[2, +∞)
62.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
63.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
64.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
65.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
66.
What is the vertex of the graph?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
67.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

68.

Find the function's maximum and minimum points

a)

no maximum

minimum (-4,-1)

b)

no minimum

maximum (-3, 1)

c)

no maximum

minimum (-1,-4)

d)

maximum (-3,1)

minimum (0,-3)

69.

What is the domain of the function?

a)

x5x≤5

b)

x<5x<5

c)

x2x≤2

d)

x<2x<2

70.

What is the range of the function?

a)

y5y≤5

b)

y < 5y\ <\ 5

c)

y2y≤2

d)

y < 2y\ <\ 2

71.
a)
Function
b)
Not a Function
72.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
73.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
74.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
75.
Simplify the expression:
8(4b - 5)
a)
32b + 40
b)
32b - 40
c)
32(b - 40)
d)
84b - 85
76.
Simplify the expression:
3(4 + 7y)
a)
12 + 21y
b)
13 + 21y
c)
14 + 21y
d)
16 + 21y
77.
-5(-x + 3) 
a)
5x + 15
b)
5x - 15
c)
5 - 3x
d)
3x + 5
78.
 -9( -3h - 8) 
a)
-27h + 72
b)
27h + 72
c)
9 + 11h
d)
-9 + 11h
79.
Factor completely
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
80.
What is the GCF of 8 and 10?
a)
1
b)
3
c)
4
d)
2
81.
Find the greatest common factor of 20 and 30
a)
2
b)
5
c)
10
d)
15
82.
Find the greatest common factor of 24 and 48
a)
4
b)
12
c)
24
d)
48
83.
Find the greatest common factor of 30 and 36
a)
2
b)
3
c)
6
d)
18
84.
Find the greatest common factor of 32 and 48
a)
2
b)
8
c)
16
d)
18
85.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4