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WorksheetsAlgebra- Units 1 - 4 Review
Total questions: 60
Worksheet time: 4hrs 48mins
Name
Class
Date
1.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
2.
3 | 2t - 3 | - 5 > 16
a)
No Solution
b)
All Real Numbers
c)
t < -2 or t > 5
d)
-2 < t < 5
3.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
4.
5x - 4 + 2x = 3
a)
1
b)
2
c)
3
d)
4
5.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
6.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
7.
-8(-8x - 6) = -6x - 22
a)
2/5
b)
-1
c)
8/7
d)
2
8.
-11-5a = 6(5a + 4)
a)
-1
b)
-2
c)
-3
d)
-4
9.
4(-8x + 5) = -32x - 26
a)
54
b)
-54
c)
all real numbers
d)
no solution
10.
Translate:
Five more than a number
Five more than a number
a)
x + 5
b)
5x
c)
5 - x
d)
5 divided by x
11.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
12.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
13.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
14.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
15.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
16.
What is the y-intercept of the equation:
y = 2x - 3
y = 2x - 3
a)
-2
b)
2
c)
3
d)
-3
17.
Find the slope:
y = 2x - 10
y = 2x - 10
a)
1/2
b)
2
c)
5
d)
-10
18.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
19.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
20.
What is the equation of the line?
a)
y=3x
b)
y=3
c)
x=3
d)
y=-3
21.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
22.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
23.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
24.
What is the y-intercept for the given graph?
a)
(0,-5)
b)
(0,5)
c)
(0,1)
d)
(0,-1)
25.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
26.
Identify the slope and y-intercept of:
y = 1/5x + 5
y = 1/5x + 5
a)
slope: 1/6 y-intercept: 4
b)
slope: 1/5 y-intercept: 5
c)
slope: 5/1 y-intercept: 5
d)
slope: 1 y-intercept: 5
27.
Which graph represents 2x + 4y = 12?
a)
b)
c)
d)
28.
Vertical or horizontal?
y = 10
y = 10
a)
vertical
b)
horizontal
c)
neither
29.
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
30.
Write the slope-intercept form of the equation with the given point and slope.
Through ( - 1,4 ) and m = - 3
a)
y = x - 3
b)
y = - 3x + 1
c)
y = x + 2
d)
y= - 3x + 4
31.
Write an equation
m = - 1/2 through ( -2, 4 )
a)
y = - 3/2x + 3
b)
y = 3/2x + 3
c)
y = - 1/2x + 3
d)
y = 3x - 3/2
32.
Write the slope-intercept form of the equation with the given point and slope.
m = 5 through ( - 1, - 3 )
a)
y = 5x + 2
b)
y = - 5x - 5
c)
y = - 5x + 2
d)
y = 2x - 5
33.
What is the equation of the line that goes through the points ( 3, - 1 ) and ( 2, - 4 )?
a)
y = 3x - 4
b)
y = - 3x + 8
c)
y = 3x - 1
d)
y = 3x - 10
34.
Write the equation of the line that passes through the points ( 0, - 5 ) and ( 4, 3 )
a)
y = 2x - 5
b)
y = 1/2x - 5
c)
y = 2x + 5
d)
y = 1/2x + 5
35.
Which of the following is the equation of the line that has a slope of 3 and passes through the point ( - 1, 9 )?
a)
y = - 3x + 12
b)
y = 3x + 3
c)
y = 3x + 12
d)
y = 3x - 3
36.
a)
Function
b)
Not a Function
37.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
38.
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.
39.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
40.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
41.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
42.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
43.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
44.
What is the domain?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
45.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
46.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
47.
What is the proper range?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
48.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
49.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
50.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
51.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
52.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
53.
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}
54.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7}
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
55.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
56.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
57.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
58.
a)
7x2+3x+5
b)
9x2+4x+5
c)
4x +9x2+5
d)
9x2+3x+5
59.
a)
8y+5
b)
3y+3
c)
7y+5
d)
7y+4
60.
a)
10x+16
b)
12x+18
c)
16x+18
d)
15x+18
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