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WorksheetsAlgebra Review
Total questions: 40
Worksheet time: 2hrs 43mins
Name
Class
Date
1.
What is the solution set for 3 | x + 2 | = 18
a)
{4}
b)
{-8, 4}
c)
{4, 8}
d)
{5.3333}
2.
What is the domain and range of the following graph?
a)
Domain: { -6 ≤ x ≤ 5 }
Range: { -4 ≤ y ≤ 5 }
b)
Domain: { -6 < x < 5 }
Range: { y > -4 }
c)
Domain: { x > -4}
Range: { -4 < y < 5 }
d)
Domain: { All real numbers }
Range: { All real numbers }
3.
Solve:
2(a + 4) = 2a - 8 + 4a
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
4.
Solve for y:
8x + 4y = 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
5.
In slope intercept form (y=mx+b) what is the "m"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
The letter after L.
6.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
7.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
8.
Find the mean of these numbers:
2, 57, 38, 42, 6
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
9.
Which box and whisker plot has the smaller median?
a)
Top plot
b)
Bottom plot
10.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
11.
What is the perimeter of the figure shown here?
a)
9x2 - 6
b)
9x2 - 12x - 6
c)
9x4 - 6
d)
9x4 - x - 6
12.
Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
13.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
14.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
15.
-4x - 7 ≥ 21
a)
x ≥ 7
b)
x ≥ -7
c)
x ≤ 8
d)
x ≤ -7
16.
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.
17.
If f(x) = 3 - 2x
Find f(-3).
a)
12
b)
-2
c)
-3
d)
9
18.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(0, 1)
c)
(-100, -3)
d)
(5, 10)
19.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
20.
Find the product:
(y - 3)(y + 7)
(y - 3)(y + 7)
a)
y2 - 21
b)
y2 + 10x - 21
c)
y2 + 4y - 21
d)
2y - 10
21.
Find the product:
(n - 5)(n - 1)
(n - 5)(n - 1)
a)
n2 - 5n + 5
b)
n2 - 6n + 5
c)
n2 + 5
d)
n2 + 6n + 5
22.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
23.
Write the equation.
a)
A
b)
B
c)
C
d)
D
24.
Match
a)
y ≤ 2x - 4
b)
y ≥ 2x - 4
c)
y < 2x - 4
d)
y > 2x - 4
25.
Match
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
26.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
27.
Combine Terms
3x - 2x + 6x =
3x - 2x + 6x =
a)
7x
b)
6x
c)
x + 6x
d)
7x2
28.
Find the GCF of both 18xy and 54x3?
a)
18xy
b)
18x
c)
6xy
d)
x
29.
Find the GCF of 18xy, 54x3?
a)
18xy
b)
18x
c)
6xy
d)
x
30.
Solve: 18 = 3n + 6n
a)
7
b)
-9
c)
-6
d)
2
31.
Write in slope intercept form
5x - 3y = -9
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
32.
What is the slope between the points
(-3, -4) & (7, 6)?
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
33.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
34.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
35.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
36.
40 =
a)
0
b)
1
c)
4
d)
-4
37.
Simplify completely
a)
3x⁵y⁷
b)
(1/3)x⁻⁷y⁵
c)
y⁵/3x⁷
d)
1/3x²
38.
Find the slope
a)
0
b)
undefined
c)
-3
d)
6
39.
What is the equation for this line?
a)
y = 5
b)
x = 5
c)
y = -5
d)
x = -5
40.
Which of the graphs shown does NOT represent a function?
a)
A
b)
B
c)
C
d)
D
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