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WorksheetsAlgebra review
Total questions: 61
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
Find the product.
(m-8)(m-9)
(m-8)(m-9)
a)
m2+17m-72
b)
m2-17m-72
c)
m2-17m+72
d)
m2-72
2.
Find the product.
(y+20)(y-20)
(y+20)(y-20)
a)
y2-40y+400
b)
y2-400
c)
y2+40y+400
d)
2y-40
3.
Find the product.
(d+9)2
(d+9)2
a)
d2+81
b)
d2+18d+81
c)
d2-81
d)
d2-18d-81
4.
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
5.
11b+7=40
a)
2
b)
1
c)
4
d)
3
6.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
7.
Solve: -18 - 6x = 6(1 + 3x)
a)
-1
b)
1
c)
No Solution
d)
Infinite Solutions
8.
19h - 7 = 23 + 14h
a)
h= -6
b)
h = 6
c)
all real numbers
d)
no solution
9.
4x - 9x + 3 = -32
a)
-35/13
b)
7
c)
-7
d)
-29/5
10.
38 + 7k = 8(k + 4)
a)
6
b)
8
c)
-6
d)
1
11.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
12.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
13.
2 (x + 3) - 3 (2x - 6) = 60
a)
1.5
b)
-9
c)
9
d)
-1.5
14.
Given the slope and a point, write the equation of the line:
(y = mx + b)
m = 2
(-3, 4)
(y = mx + b)
m = 2
(-3, 4)
a)
b = 10
b)
y = 10x + -3
c)
y = 2x + 10
d)
x = -3
15.
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
16.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
17.
Find the slope of the line that passes through the given pair of points: (-2, -3), (4, 3)
a)
m = 3
b)
m = 2
c)
m = 1
d)
m = -1
18.
Find the y-intercept of the line that passes through the given pair of points: (-2, -3), (4, 3)
a)
b = 3
b)
b = 2
c)
b = -1
d)
b =1
19.
Write the equation of the line.
a)
y=-3x-4
b)
y=-4x-3
c)
y=(-3/4)x-3
d)
y=(-4/3)x-3
20.
Identify the slope and y-intercept of:
y = 1/2x - 1
y = 1/2x - 1
a)
slope: 1/2 y-intercept: -1
b)
slope: 2/1 y-intercept: -1
c)
slope: 3 y-intercept: -3
d)
slope: 2 y-intercept: 5
21.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
22.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
23.
Which equation describes the table?
a)
y = 1/4x
b)
y = 4 - x
c)
y = 4 + x
d)
y = 4x
24.
What is the missing value in the table?
a)
11
b)
24
c)
8
d)
9
25.
Is the table linear or non-linear?
a)
Linear
b)
Non-Linear
26.
How do you write slope intercept form?
a)
y=mxs+b
b)
y=mx+b
c)
x=ym+b
d)
x=y
27.
Solve!
a)
1
b)
2
c)
3
d)
4
28.
The vertex of this parabola is...
a)
(-4, -12.5)
b)
(12.5, 4)
c)
(-12.5, -4)
d)
(4, 12.5)
29.
The domain of this function is...
a)
-1< x < 9
≤
≤
b)
x > 4
c)
x < 12.5
d)
All reals
30.
On the McDonald's Logo, the M is made up of two parabolas. At the very top of each parabola is that quadratic's...
a)
Minimum Value
b)
Solution
c)
Quadratic Formula
d)
Vertex
31.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Basketball
c)
Maximum Value
d)
A parabola
32.
a)
Function
b)
Not a Function
33.
a)
Function
b)
Not a Function
34.
a)
Function
b)
Not a Function
35.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
36.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
37.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
38.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
39.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
40.
Simplify (-1/2)0
a)
1
b)
0
c)
-1
d)
-2
41.
Simplify:
(7y4)2
(7y4)2
a)
7y6
b)
14y8
c)
14y6
d)
49y8
42.
Simplify 5-2
a)
-10
b)
1/25
c)
1/(5)2
d)
-1/10
43.
What is the simplest form of this expression
4x-6a+5a-2x
4x-6a+5a-2x
a)
2x-1a
b)
21xa
c)
6x+11a
44.
Subtract these expressions
3(x+5) - (2x+5)
3(x+5) - (2x+5)
a)
x-15
b)
5x + 20
c)
x + 10
d)
x+15
45.
Simplify the expression: 3(1 - 2x) + 7
a)
21 - 6x
b)
24 + 6x
c)
10 + 6x
d)
10 - 6x
46.
f(x) = 2x + 1
f(2) = ?
f(2) = ?
a)
2
b)
4
c)
5
d)
23
47.
2(-x - 4) = 4x + 16
a)
- 4
b)
3
c)
-3
d)
4
48.
-3 + 5(x + 6) = 37
a)
2
b)
4/5
c)
8
d)
4
49.
2xy + 7x + 6xy + 3xy +(-3x)
a)
4x + 11xy
b)
10x + 11xy
c)
-10x + 8xy
d)
-4x - 11xy
50.
Use the properties of equality to simplify each equation. Tell whether the equation has one, zero, or infinitely many solutions.
3x - 7 = 3(x - 3) + 2
3x - 7 = 3(x - 3) + 2
a)
one
b)
zero
c)
infinitely many
51.
Simplify the equation. Tell whether the equation has one, no, or infinite solutions.
4(-8x + 5) = -32x - 26
4(-8x + 5) = -32x - 26
a)
one
b)
no solutions
c)
infinite solutions
52.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
53.
Evaluate if a = -1, b = -8, and c = -5
a)
-12
b)
-20
c)
20
d)
12
54.
Find the slope of the line.
a)
4/2
b)
-4/2
c)
2
d)
-2
55.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
56.
List the 5 number summary.
a)
20, 40, 60, 80, 10
b)
10, 20, 30, 40, 50
c)
15, 25, 40, 50, 80
d)
10, 40, 60, 70, 80
57.
What is the median of the set of data?
a)
30
b)
40
c)
45
d)
50
58.
Which of the following lists all parts of the five number summary?
a)
Mean, Median, Mode, Range, and Total
b)
Minimum, Quartile 1, Median, Quartile 3, and Maximum
c)
Smallest, Q1, Q2, Q3, and Q4
d)
Minimum, Maximum, Range, Mean, and Median
59.
Write the equation of a line that contains the point (3, 5) and has a slope of 3 in slope-intercept form.
a)
y = 3x - 4
b)
y - 5 = 3(x-3)
c)
y = 3x + 14
d)
y + 5 = 3(x+3)
60.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
61.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
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