WorksheetsAlgebra review
Total questions: 50
Worksheet time: 2hrs 51mins
Name
Class
Date
1.
3+2c-4c-9+11c
a)
-9c+6
b)
12+3c
c)
9c-6
d)
-12-3c
2.
Solve:
3(x - 2) = 18
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
3.
Solve:
7x + 19 = -2x + 55
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
4.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
5.
Solve the following equation for v
a)
5.33
b)
39
c)
4
d)
3
6.
Solve the following equation for w
5w + 5 = -90
a)
19
b)
-19
c)
17
d)
-17
7.
Solve for k
-20 = k - 2 + 8k
a)
-2
b)
2
c)
-3
d)
3
8.
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
9.
What is the algebraic expression for "a number tripled is equal to 18?"
a)
18 + 3 = n
b)
6
c)
3 x 6 = 18
d)
3n = 18
10.
What is the algebraic expression for "Twice x, decreased by 9?"
a)
9 - 2x
b)
2 + x - 9
c)
2x - 9
d)
2x / 9
11.
What is the expression for this word problem: six feet less than the width (use w for width).
a)
w - 6
b)
6 / w
c)
6 - w
d)
w / 6
12.
What is the expression for this word problem: five years less than Tracy's age (a=Tracy's age).
a)
5a
b)
5/a
c)
a - 5
d)
5 - a
13.
Simplify this expression (combine like terms):
x + x + x + x
x + x + x + x
a)
4 - x
b)
4x
c)
x
d)
x+4
14.
Simplify this expression (combine like terms):
3x + 3 - 1
3x + 3 - 1
a)
x - 1
b)
3x + 4
c)
3x + 2
d)
5x
15.
Simplify this expression (combine like terms):
6y + 5y + y - 2
6y + 5y + y - 2
a)
10y
b)
11y + y - 2
c)
12y - 2
d)
13y
16.
Simplify this expression (combine like terms):
6a + 1 - 2a
6a + 1 - 2a
a)
4a + 1
b)
7a - 2a
c)
8a + 1
d)
6a + a
17.
Evaluate the expression if a=3.
4a
4a
a)
7
b)
12
c)
43
d)
17
18.
Evaluate the expression if a=3 and b=6.
4a - b
4a - b
a)
43 - 6
b)
37
c)
1
d)
6
19.
Solve: 2X = 12
a)
24
b)
6
c)
10
d)
14
20.
solve: X ÷ 3 = 6
a)
18
b)
2
c)
3
d)
9
21.
X - 7 = 12
a)
5
b)
2
c)
19
d)
84
22.
X + 2 = 8
a)
4
b)
16
c)
10
d)
6
23.
Sam read 5 books this week and some books last week. If Sam read 12 books in all, how many books (b) did Sam read last week?
a)
60
b)
2.5
c)
7
d)
17
24.
The sum of a number M and 11
a)
M ÷ 11
b)
M × 11
c)
M - 11
d)
M + 11
25.
2 less than Y
a)
2 -Y
b)
Y - 2
c)
Y ÷ 2
d)
Y × 2
26.
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
27.
Solve for y
25 - y = 17
a)
42
b)
32
c)
18
d)
8
28.
Evaluate u + xy, for u = 18 , x = 10 , and y = 8.
a)
188
b)
36
c)
98
d)
224
29.
What is an equivalent way to express 3y?
a)
y * y * y
b)
y3
c)
y + y + y
d)
3 + y
30.
Simplify the expression.
3(5x - 8)
3(5x - 8)
a)
15x + 24
b)
5x- 8
c)
15x - 8
d)
15x - 24
31.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
32.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
33.
Simplify the following expression
9 + 5m - 4
9 + 5m - 4
a)
5m-5
b)
10m
c)
5m+5
d)
5m+13
34.
A SENTENCE WITH AN EQUAL SIGN
Example: 4x = 8
a)
expression
b)
equation
c)
term
d)
variable
35.
How many terms are in the expression
5y - 3rx + 7
5y - 3rx + 7
a)
1
b)
2
c)
3
d)
4
36.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
37.
The sum of 13 and twice a number h
a)
13+2h
b)
13−2h
c)
13⋅2h
d)
2h13
38.
What is the inverse operation of multiplication?
a)
multiplication
b)
addition
c)
subtraction
d)
division
39.
Solve the Inequality.
2x + 5 > 11
2x + 5 > 11
a)
x ≠ 3
b)
x < 3
c)
x > 3
d)
x = 3
40.
5(2x + 3)
a)
10x + 3
b)
10x + 15
c)
25x
d)
7x + 8
41.
6(3p - 1)
a)
12p
b)
18p - 6
c)
18p + 6
d)
-18p - 6
42.
Evaluate m2 if m = 7
a)
42
b)
43
c)
49
d)
51
43.
Evaluate b2 + 3 if b = 9
a)
9
b)
12
c)
81
d)
84
44.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
45.
Simplify the expression:
12a² +4 +3a² -2
12a² +4 +3a² -2
a)
15a² + 2
b)
15a - 2
c)
15a² - 2
d)
9a² +2
46.
A mathematical phrase that has numbers, operations, and one or more variables. No equal sign
a)
equation
b)
Algebraic Expression
c)
Algebraic Equation
d)
expression
47.
Carly has broken more than 72 pencils this year.
a)
x < 72
b)
x > 72
c)
x ≤ 72
d)
x ≥ 72
≥
≥
48.
2x + 15 ≤ 17
a)
x ≤ 1
b)
x ≥ 1
c)
x ≤11
49.
A number that is multiplied by a variable.
a)
term
b)
coefficient
c)
constant
d)
variable
50.
After Lana deposited a check for $65, her new balance was $315. Write and solve the equation to find the amount that was in her account before the deposit.
a)
x + 65 = 315
b)
65 - x = 315
c)
65x = 315
d)
315 ÷ x = 65
100 %
