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WorksheetsUnit Review Algebraic Expressions
Total questions: 35
Worksheet time: 2hrs 46mins
Name
Class
Date
1.
Evaluate 2n + 7 if
n = -7
n = -7
a)
21
b)
-14
c)
7
d)
-7
2.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
d)
12x(50 + 200)
3.
Identify the Coefficients
-4x + 2y + 5 + 9a
-4x + 2y + 5 + 9a
a)
5, 9a
b)
-4, 2 , 9
c)
-4x, 2y, 9a
d)
5
4.
There were x cookies at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cookies that were left.
a)
16
b)
x + 16
c)
16 - x
d)
x - 16
5.
Evaluate 3b + 2d
when
a = 1, b = 3, d = -2
when
a = 1, b = 3, d = -2
a)
3
b)
5
c)
0
d)
2
6.
Write and expressions for eight plus triple the number of shirts
Let s = number of shirts
Let s = number of shirts
a)
8 + 3s
b)
8 + s
c)
3s - 8
d)
8(3 + s)
7.
What are the coefficients in the expression
8a + b + 9?
8a + b + 9?
a)
8 only
b)
1 and 8
c)
8 and 9
d)
1, 8, and 9
8.
Write an algebraic expression for:
the product of 5 and a number
the product of 5 and a number
a)
5 + n
b)
n + 5
c)
5n
d)
5/n
9.
Translate from English to math: 3 less than y
a)
3-y
b)
y-3
c)
y/3
d)
3y
10.
Rewrite using the Distributive Property
6(x + -2)
a)
6x + 12
b)
6x - 12
c)
4x
d)
6x - 2
11.
Factor:
12x + 9
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
cannot factor
12.
Factor:
4x + 30y
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
13.
Ms. Carmen thinks that
3(2x - 4) = 6x - 4.
Is she correct?
3(2x - 4) = 6x - 4.
Is she correct?
a)
Yes
b)
No
14.
Factor:
14x + 20
14x + 20
a)
2(7x + 10)
b)
4(2x + 5)
c)
cannot factor
d)
1(14x + 20)
15.
Find the GCF.
8cd, 20cd
8cd, 20cd
a)
4cd
b)
8cd
c)
4c
d)
2cd
16.
Factor:
7x + 48y
7x + 48y
a)
7(x + 7y)
b)
7(x + y)
c)
cannot factor
d)
7(x + 48y)
17.
Simplify: 3x - 5x
a)
2x
b)
8x
c)
-2x
d)
15x2
18.
Simplify: -r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
19.
What is the constant?
5g3 + 2
5g3 + 2
a)
5
b)
g
c)
3
d)
2
20.
What is the variable?
3w + 2w - (-7w)
3w + 2w - (-7w)
a)
3
b)
2
c)
w
d)
12
21.
How many terms are in the expression below:
-3c + 7d
-3c + 7d
a)
one
b)
two
c)
three
d)
four
22.
How many terms are in the expression below:
3x - 6 + 4b + 5 + 7 - 2x
3x - 6 + 4b + 5 + 7 - 2x
a)
five
b)
eight
c)
six
d)
nine
23.
Simplify the Expression:
21 - 8x - 4 + 9x
21 - 8x - 4 + 9x
a)
-4x -17
b)
17x + 25
c)
x + 17
d)
17x + 17
24.
Simplify the Expression:
-4(x + 6) + 2(x - 2)
-4(x + 6) + 2(x - 2)
a)
2x + 28
b)
6x - 20
c)
-2x - 28
d)
6x - 28
25.
What is the term for a number with no variable
a)
Coefficient
b)
Constant
c)
Term
d)
Expression
26.
What is the term for the number in front of a variable telling how much to multiply the variable by.
a)
Term
b)
Constant
c)
Coefficient
d)
Expression
27.
Simplify
(7k + 9) + (4k - 3)
(7k + 9) + (4k - 3)
a)
3k + 6
b)
11k + 6
c)
-11k + 6
d)
- 3k + 6
28.
Write and simplify an expression to represent the perimeter of the triangle shown.
a)
(4x + 3) ft
b)
(6x + 5) ft
c)
(5x - 3) ft
d)
(6x + 3) ft
29.
Simplify (10x + 2) - (8x - 4)
a)
2x - 2
b)
2x + 6
c)
18x + 6
d)
18x - 2
30.
Simplify
(−x + 8) + (−5x − 1).
(−x + 8) + (−5x − 1).
a)
−6x + 7
b)
−4x + 7
c)
−6x − 8
d)
−6x + 8
31.
Simplify
(−3x + 7) + (2x − 5).
(−3x + 7) + (2x − 5).
a)
−x + 2
b)
−6x − 35
c)
−x - 2
d)
−5x + 2
32.
Simplify
(4y - 8) - (3y - 9)
(4y - 8) - (3y - 9)
a)
7y - 17
b)
y + 1
c)
y - 17
d)
7y + 17
33.
(6x + 3y + 4) – (8x + 9y)
a)
-2x - 6y
b)
-2x - 6y + 4
c)
2x + 6y + 4
d)
14x + 12y + 4
34.
Rewrite using the Distributive Property
11(9 + d)
a)
99 + d
b)
20 + 9d
c)
20 + d
d)
99+11d
35.
Rewrite using the Distributive Property
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
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