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Worksheetsalgebraic expression
Total questions: 59
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
Evaluate the expression using the values
m = 7, r = 8, and t = 2.
4m + t
m = 7, r = 8, and t = 2.
4m + t
a)
30
b)
28
c)
26
d)
14
2.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t
r/t
a)
8
b)
6
c)
4
d)
7
3.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t
3m – 5t
a)
21
b)
11
c)
10
d)
22
4.
Which is NOT a word phrase for the algebraic expression.
n + 16
n + 16
a)
a number increased by 16
b)
16 increased by a number
c)
the sum of a number and 16
d)
16 more than a number
5.
Which is NOT a word phrase for the algebraic expression.
24n
24n
a)
24 times a number
b)
24 times n
c)
the product of 24 and a number
d)
the sum of 24 and a number
6.
Write an algebraic expression for the word phrase.
12 more than (m) machines
12 more than (m) machines
a)
12-m
b)
m-12
c)
12+m
d)
m+12
7.
Write an algebraic expression for the word phrase.
six times the daily amount of fiber (f) in your diet
six times the daily amount of fiber (f) in your diet
a)
6f
b)
6+f
c)
6/f
d)
6-f
8.
A cell phone company charges $40 per month(m) plus a $35 activation fee. How much would the service cost for the first 2 months(m)?
Hint:
40m+35
Hint:
40m+35
a)
$110
b)
$75
c)
$115
d)
$80
9.
Combine the like terms. Simplify.
2x + x - 4y
2x + x - 4y
a)
2x+x-4y
b)
4x+4y
c)
3x-4y
d)
3x+4y
10.
Combine like terms. Simplify.
11g-9g+8g
11g-9g+8g
a)
10g
b)
9g
c)
2g
d)
11g
11.
Combine like terms. Simplify.
3n – 6mn + 2n
3n – 6mn + 2n
a)
3n-6mn
b)
5n-6mn
c)
5n+6mn
d)
n-6mn
12.
A ______ is a letter which represents an unknown number (quantity).
a)
expression
b)
variable
c)
term
d)
like term
13.
A _____ contains at least one variable, constant, and operation.
a)
term
b)
algebraic expression
c)
like term
d)
quadratic equation
14.
Solve using distributive property.
3(x-6)
3(x-6)
a)
3x+18
b)
3x-6
c)
3x+6
d)
3x-18
15.
Solve using distributive property.
2(x+3)
2(x+3)
a)
2x-6
b)
2x+3
c)
2x+6
d)
2x-3
16.
The sum of seven and x
a)
7-x
b)
x-7
c)
7x
d)
7+x
17.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
18.
The number h decreased by eight
a)
h-8
b)
8h
c)
h+8
d)
8-h
19.
A _____________ is a symbol, usually a letter that stands for a number.
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
20.
Which of the following terms mean "addition"?
a)
of
b)
how many
c)
total of
d)
shared
21.
Which of the following terms means "subtract"?
a)
half
b)
less than
c)
double
d)
per
22.
Difference, minus, less than, and decreased by are all words that mean ______________.
a)
add
b)
subtract
c)
multiply
d)
divide
23.
Carla and her sisters each earned 9 dollars for babysitting. Which expression represents how much Carla and her sister earned altogether?
a)
9 + x
b)
9x
c)
2(9 + x)
d)
2x + 9
24.
The algebraic expression 6x - 4 can be written as which of the following?
a)
x to the sixth power decreased by four
b)
The product of six and a number x decreased by four
c)
Six times a number x less than four
d)
four less than six
25.
What is the coefficient in the given expression: 2 - p + 4?
a)
0
b)
4
c)
2
d)
1
26.
What is the coefficient of the following expression?
7c + 8
7c + 8
a)
c
b)
7
c)
8
d)
1
27.
Which expression represents: "the product of 3 and x increased by 5"?
a)
5x - 3
b)
3 - 5x
c)
3x + 5
d)
3x(5)
28.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t
r/t
a)
8
b)
6
c)
4
d)
7
29.
Factor:
4x + 30y
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
30.
Factor:
12x + 9
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
31.
Perry has 17 fewer baseball cards than Pete.
If b represents the number of cards Pete has, write an expression for how many baseball cards Perry has.
If b represents the number of cards Pete has, write an expression for how many baseball cards Perry has.
a)
b + 17
b)
b -17
c)
17 - b
d)
17 + b
32.
Mary baked some cookies on Saturday. On Sunday she baked twice as many cookies as the day before. If c represents the number of cookies she made on Saturday, write an expression for the number of cookies she made on Sunday.
a)
c + 2
b)
c - 2
c)
c / 2
d)
2c
33.
Students brought in 300 canned goods for the food drive on Monday. On Tuesday students brought in x more than the day before. Write an expression for how many canned goods students brought on Tuesday.
a)
300 + x
b)
300 - x
c)
300x
d)
x - 300
34.
Translate:
42 less than a number x
42 less than a number x
a)
42 - x
b)
x - 42
35.
Translate:
12 fewer pencils than the number of pencils, p, in my desk
12 fewer pencils than the number of pencils, p, in my desk
a)
12 - p
b)
p - 12
36.
Translate:
4 more than three times the amount of c candy bars
4 more than three times the amount of c candy bars
a)
3c + 4
b)
3c - 4
c)
4c + 3
d)
4c - 3
37.
Evaluate x + 8 if x = 2
a)
6
b)
8
c)
10
d)
12
38.
Evaluate 4a if a=5
a)
45
b)
9
c)
20
39.
Evaluate 2n + 7 if
n = 7
a)
34
b)
21
c)
14
40.
Rewrite (9 + 6) + 5 using the associative property.
a)
20
b)
(9 + 6) + 5 = (9 + 5) + 6
c)
(9 + 6) + 5 = 9 + (6+5)
d)
(9 + 6) + 5 = 5 + 9 + 5 + 6
41.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a2 + c2
2a2 + c2
a)
22
b)
34
c)
68
d)
43
42.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
43.
Solve the equation:
x + 7 = 12
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
44.
What property of addition takes a whole number and adds it with zero?
a)
Associative
b)
Commutative
c)
Identity
45.
the sum of fifty-two and a number
a)
n-52
b)
52 + n
c)
52/n
d)
52n
46.
Six divided by the product of -7 and b.
a)
6/b-7
b)
6/-7b
c)
-7b/6
d)
b-7/6
47.
Choose the phrase that matches the expression 21h
a)
21 more friends than expected at the party
b)
21 more horses in the pasture
c)
21 dollars per hour
d)
21 balloons were popped at the party
48.
Simplify the Expression: 10x - 3(2x + 8)
a)
4x - 24
b)
-4x + 24
c)
16x - 24
d)
14x - 6
49.
Simplify using the distributive property: 3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
50.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
51.
0 * 50 = 0
a)
Commutative
b)
Associative
c)
Additive Identity
d)
Multiplicative Identity
e)
Zero Property of Multiplication
52.
Simplify the Expression: 21 - 8x - 4 + 9x
a)
-4x -17
b)
17x + 25
c)
x + 17
d)
17x + 17
53.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
3ab
3ab
a)
10
b)
12
c)
15
d)
36
54.
Simplify the Expression: 5(x + 2) + 2x
a)
7x + 2
b)
7x + 10
c)
5x + 4
d)
7x + 7
55.
Work out the value of the following expressions when a = 3, b = 4 and c = 5.
2a
2a
a)
5
b)
6
c)
8
d)
10
56.
Which is an example of Associative Property of Addition?
a)
(12+3)+8=12x(3x8)
b)
12x(3x8)=(12x3)x8
c)
(12+8)+3=12+(8+3)
d)
12 + 18 = 18 + 12
57.
What two operations can the commutative property be used with?
a)
addition and subtraction
b)
addition and multiplication
c)
addition and division
58.
Solve the equation:
1/2x = 6
1/2x = 6
a)
x = 12
b)
x = -12
c)
x = 3
d)
x = -3
59.
Evaluate -2x if x = 10
a)
-8
b)
20
c)
-20
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