WorksheetsUnit 3 Test Review (6th grade) 21-22
Total questions: 50
Worksheet time: 2hrs 40mins
How many terms and how many variables are in the expression?
12x - 3y - 2x - 14z
3 terms
4 terms
2 terms
4 variables
3 variables
Simplify the expression.
3a + 9b - 8a + 6b - 2b
-5a + 13b
8ab
11a + 13b
-5a + 17b
11a +17b
Factor the expression 15x - 45 to create an equivalent expression. (Your answer will show distributive property.)
5(3x - 9)
3(5x - 15)
5(3x - 45)
3(5x - 45)
5(15x - 45)
Simplify the expression.
5(2x - 3) + 10 - 2x
8x - 5
10x - 15 + 10 - 2x
8x + 7
12x + 25
You and your friends are going to the pumpkin patch. Your group has 20 people. You have to pay a groups rate of $15 plus $5 per person. What is the total for your group?
$115
$305
$400
$20
Write an algebraic expression to represent the phrase "7 times the difference of 15 and a number".
7(15 - a)
7 x 15 - a
7(a - 15)
7 x a - 15
What is the value of the expression?
24+2\div2+\left(12-9\right)^324+2÷2+(12−9)3
52
28
34
40
Write the following exponent in expanded form.
747 x7 x 7 x 7
2401
4 x 4 x 4 x 4 x 4 x 4 x 4
16,384
What is the value of 45 ?
1,024
4 x 4 x 4 x 4 x 4
625
5 x 5 x 5 x 5
What expression best represents the phrase "the product of c + 8 and 4"?
4(c + 8)
c + 8 x 4
4 x c + 8
4c + 8
Simplify the expression.
3y + 5x + 12x - 9y + 15y
17x + 9y
26xy
17x + 27y
44xy
Simplify.
13x - 7x
6
6x
20
20x
Simplify.
3x2 + 7x - x2
2x2 + 7x
3x2 + 7x
10x2
9x2
Write 49 in exponential form.
72
7 x 7
Which expression is equivalent to
2(x + 4) + 3x - 8?
5x
5x - 4
5x + 12
5x + 16
What is the least common multiple of 6 and 9?
18
3
36
6
What is the greatest common factor of 18 and 16?
2
1
18
144
Toni has 36 mints and 96 jelly beans. She wants to give away as many as possible, but she wants each friend to receive the same number of mints and the same number of jelly beans. What is the most friends that Toni can give the candy to?
12
6
2
288
Factor the expression 49 + 63
7(7 + 9)
7(7 + 63)
112
What is the least common multiple of 8, 18, and 24?
72
32
48
2
Toni has 36 mints and 96 jelly beans. She wants to give away as many as possible, but she wants each friend to receive the same number of mints and the same number of jelly beans. How many mints and jelly beans will each friend recieve?
3 mints
8 jelly beans
12 mints
12 jelly beans
6 mints
Factor the expression 18 + 60.
6(3 + 10)
3(6 + 20)
2(9 + 30)
4(4 + 15)
5(3 + 12)
Hannah and Cooper are each assigned a paper to write. Hannah decides to write 3 pages at a time while Cooper decides to write 9 pages at a time. If they end up writing the same number of pages, what is the smallest number of pages that the pages could have had?
9
18
3
27
What is the least common multiple of 3 and 10?
30
60
1
90
What is the least common multiple of 4 and 7?
28
1
56
84
What is the greatest common factor of 13, 39, and 65?
13
65
39
1
What is the greatest common factor of 56 and 92?
12
8
4
2
A baseball team gave away baseball cards each person entering their stadium. One group received 24 baseball cards. A second group received 66 baseball cards. If each person entering received the same number of cards, what was the greatest possible number of baseball cards each person could have received?
3
2
22
8
What is the least common multiple of 3, 12, and 9?
12
36
3
4
What is equivalent to 83 ?
8 x 8 x 8
512
3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
6,561
24
Write 45 in expanded form.
4 x 4 x 4 x 4 x 4
5 x 5 x 5 x 5
20
1,024
625
What is the value of the expression
67
15
9
61
Write an equivalent expression that represents "5 times the sum of y and 3"
5(y + 3)
5y + 15
5 x y + 3
5y + 3
Write an expression that represents "the quotient of c + 2 and 6"
6c+2
6c+2
c+62
c+26
Write a phrase to match the expression 8(m + 2)
8 times the sum of m and 2
the product of 8 and m and 2
8 times m plus 2
8 x m plus 2
Students in Mrs. Anderson’s class are visiting a planetarium and plan to see a show. There is a cost of $75 for group viewings of the show and a cost of $3 per student. How much will it cost for 25 students to attend the show?
$150
$78
$75
$1,950
Write an expression that is equivalent to
5(2a - 1) + 15 - 3a
7a + 10
7a + 14
13a + 16
17a
Write an equivalent expression for 15p - 25 using distributive property.
5(3p - 5)
3(5p - 8)
-10p
5(3p - 25)
Simplify the following expression
8m + 3n - 5m + n
3m + 4n
3m + 3n
7mn
6mn
Simplify the following expression
10x + 8y - 6x + 6y
4x + 14y
18xy
16x + 14y
30xy
Write an equivalent expression for 11s + 6s
17s
17s2
5s
5s2
If 7b + 6b + b is completely simplified by combining like terms, what is the result?
14b
13b
Mrs. Jan asked students to factor the expression 36a - 27. Four students offered their answers. Which students’ expressions are equivalent to 36a - 27?
Select ALL that apply.
Danny: 2(18a - 14)
Kim: 3(12a - 9)
Alan: 4(9a - 7)
Tami: 9(4a - 3)
Write 64 in exponential form. Select ALL that apply.
26
43
82
62
34
Which expression has the greatest value?
14 - 5 x 62
14 - (5 x 6)2
(14 - 5)2 x 6
(14 - 5) x 62
How many terms and variables does the expression
6a - b + 25 have?
3 terms
2 variables
2 terms
1 variable
1 term
Write an equivalent expression for 4(2x + 7)
8x + 28
8x + 7
4(9x)
36x
Of the expressions shown, which one has terms that can actually be combined?
5x + 5
5z - z2
5a + 4a
5c + 4
What is the value of the expression
x2 + y2 + x - y
when x = 1 and y = 3
6
8
12
16
Evaluate the expression bc - 5a
when a = 3, b = 4, and c = 6
9
39
-7
99
