WorksheetsAlgebra Review
Total questions: 56
Worksheet time: 3hrs 22mins
Name
Class
Date
1.
Solve using Order of Operations.
23 + (50 - 23) =
a)
24
b)
34
c)
35
d)
33
2.
If a=2 b=7, solve
(16 + a) - (b + 5) =
a)
11
b)
2
c)
6
d)
0
3.
What is the rule of this one step pattern?
53, 42, 31, 20, 9
a)
Divide 2
b)
Subtract 12
c)
Add 17
d)
Subtract 11
4.
What is the coordinate pair of the point?
a)
(3, 4)
b)
(2, 4)
c)
(4, 2)
d)
(4, 1)
5.
What is the algebraic expression for the phrase "5 more than 3 times a number?"
a)
8
b)
5 + 3x
c)
5 + 3 x 10
d)
3 + n + 5
6.
Simplify this expression (combine like terms):
x + x + x + x
x + x + x + x
a)
4 - x
b)
4x
c)
x
d)
x+4
7.
Evaluate the expression if a=3 and b=6.
4a - b
4a - b
a)
43 - 6
b)
37
c)
1
d)
6
8.
Explain how to solve the following problem:
7X = 34
7X = 34
a)
Multiply both sides by 7
b)
Divide both sides by 7
c)
Add 7 to both sides
d)
Subtract 7 from both sides
9.
Write each product using an exponent.
8x8x8
a)
83
b)
38
c)
24
d)
512
10.
Solve: 56 = -7x
a)
8 = x
b)
-8 = x
c)
392 = x
d)
-392 = x
11.
Find 250% of 25
(a)
12.
What is 23% of 65?
a)
14.95
b)
15.95
c)
16
d)
13.75
13.
Sally invests $750 dollars into a bank that pays 7% interest.
What is the growth factor?
a)
750
b)
1.7
c)
1.07
d)
7%
14.
How many total votes were collected?
a)
5
b)
10
c)
15
d)
20
15.
2d + 7 = 9
a)
1
b)
7
c)
4
d)
3
16.
Solve 9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
17.
4x + 22 = -34
a)
-14
b)
-22
c)
16
d)
-20
18.
Solve 7k - 14 = 42
a)
7
b)
-8
c)
0
d)
8
19.
If my function rule is x + 3, what is the OUTPUT if the input is 4?
a)
4
b)
3
c)
7
d)
10
20.
In the ordered pair (4,9) which number is the Y COORDINATE?
a)
4
b)
9
c)
neither
d)
both
21.
3+2c-4c-9+11c
a)
-9c+6
b)
12+3c
c)
9c-6
d)
-12-3c
22.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
23.
Solve:
7x + 19 = -2x + 55
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
24.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
25.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
26.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
27.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
28.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
29.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
30.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
31.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
32.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
33.
Solve Using the Quadratic Formula
2x2 + 7x - 15 = 0
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
34.
x2 - 5 = -4
a)
1, -1
b)
3, -3
c)
3
d)
1
35.
Simplify:
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
36.
Simplify:
4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
37.
What is the vertex of this equation?
y= x2+3x+5
Hint: find min in your calculator
y= x2+3x+5
Hint: find min in your calculator
a)
(1.5, -2.75)
b)
(1.5, 2.75)
c)
(-1.5, 2.75)
d)
(-1.5, -2.75)
38.
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
39.
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
40.
Multiply:
(r + 7)(r − 7)
(r + 7)(r − 7)
a)
r 2 − 49
b)
r 2 + 14
c)
r 2 − 7r + 49
41.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
42.
Graph x + y = 3
a)
A
b)
B
c)
C
d)
D
43.
Write the equation.
a)
A
b)
B
c)
C
d)
D
44.
Match
a)
y ≤ 2x - 4
b)
y ≥ 2x - 4
c)
y < 2x - 4
d)
y > 2x - 4
45.
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
46.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
47.
Combine Terms
3x - 2x + 6x =
3x - 2x + 6x =
a)
7x
b)
6x
c)
x + 6x
d)
7x2
48.
Find the GCF of both 18xy and 54x3?
a)
18xy
b)
18x
c)
6xy
d)
x
49.
Find the GCF of 18xy, 54x3?
a)
18xy
b)
18x
c)
6xy
d)
x
50.
Solve: 18 = 3n + 6n
a)
7
b)
-9
c)
-6
d)
2
51.
Solve: 0 = 4h
a)
h = 4
b)
g = 1
c)
g = -4
d)
g = 0
52.
Simplify: 4a + 9 + a
a)
5a + 9
b)
14a
c)
3a + 9
d)
5a - 9
53.
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
54.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
55.
x0
a)
x
b)
0
c)
1
d)
Undefined
56.
Solve: x2 - 8 = 41
a)
x = 5
b)
x = 6
c)
x = 7
d)
x = 8
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