6th unit 6
Some questions (c) 2014 by TEKS Resource System.
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1
Which expression is equivalent to this prime factorization?
2 3 • 5 • 7
A
30 • 7
B
4 • 5 • 14
C
10 • 7
D 2 • 15 • 7
2
Simplify the expression below.
F
G
H
J
3
Which expression shows the prime factorization of 220, using exponents?
A
2 2 • 5 • 11
B
2 • 10 • 11
C
2 • 52 • 11
D 2 2 • 55
4
Which statement is true about all expressions?
F
All expressions contain only numbers.
G All expressions are mathematical statements with an equal sign.
H All expressions contain variables.
J
All expressions are mathematical phrases with no equal sign.
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5
Which equation has the solution x = 2 ?
A
B
C
36 = 15x
D 6.75 = 3x
6
Which equation has the solution x = 1 ?
F
1 = x + G 3 = x + 2
H 1 = x - 2
J
7
2 = x + Which situation is best represented by the equation below?
45 + x = 180
A
Angela saves $45 each month. How many months, x, will it take her to save
$180?
B
Alan read 180 pages of a book. If he reads 45 more pages, how many pages, x,
will he have read?
C
Rebecca worked 45 minutes on Wednesday and 180 minutes on Thursday. How
many minutes, x, did she work in the two nights?
D Marcus has 45 songs on his music player. How many more songs, x, must he
download to have a total of 180 songs?
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8
Which situation is best represented by the equation below?
0.25x = 137.5
F
Eddie’s bill at a restaurant was $137.50 before the tip. What is the amount paid, x,
after adding a 25% tip to the bill?
G Oasis Computer Company was having a 25% off sale. Noel spent $137.50 before
the discount. What is the amount of money spent, x, after a discount of 25%?
H Texas Republic Clothing store was having a 25% off sale on purchases of $100 or
more. Melanie saved $137.50 on her purchase. What is the amount of money
spent, x, before the discount of 25%?
J
At a soccer game, about 25% of the people in attendance were cheering for the
away team. What is the number of people, x, cheering for the away team?
9
Which number line shows the solution to the equation below?
A
B
C
D
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10
Which number line shows the solution to the equation below?
3.5 + x = -7.5
F
G
H
J
11
Sofia is taking a family vacation and wants to download some movies to her smart
phone. Her phone has a storage capacity of 16 gigabytes for movie downloads. Last
week she used 3.5 gigabytes to download two movies. Which equation can be used
to find the number of gigabytes, g, that are available on the phone to download
movies for the vacation?
A
3.5g = 16
B
= g
C
g + 3.5 = 16
D g + 3.5 = 16
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12
Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has $48.00 in it.
Which equation can be used to determine the maximum number of days, d, that she
can eat without adding money to the account?
F
= 48.00
G
= 2.15
H 48.00d = 2.15
J
2.15d = 48.00
13
Which expression is equivalent to ?
A
B
C
D
14
Which expression is equivalent to ?
F
G
H
J
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15
Which of the following expressions is equivalent to ?
A
B
C
D
16
Which two expressions are equivalent?
F
G
H
J
17
Which of the following is an equation?
A
8x
B
8x = 2
C
8x – 5
D
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18
Simplify the expression below.
F
G 2.75
H
J
19
2
Sam was making a casserole for a party. He found the amount of protein for each
ingredient in the casserole.
Serving Size
Protein
Chicken
3 oz
35 grams
Vegetables
1 cup
2.5 grams
Rice
1 cup
6 grams
Sam plans to triple the servings of each ingredient for the whole casserole and then
add an extra serving of vegetables. The casserole will then be divided equally into 8
portions. The expression below can be used to find the number of grams of protein in
each portion that will be served.
[3(35 + 2.5 + 6) + 2.5] ÷ 8.
How much protein will be in each portion of Sam’s casserole?
A
17.25 grams B
18.8125 grams
C
16.625 grams
D 14.5 grams
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20
A factor tree for 72 is shown below.
Which expression is NOT equivalent to 72?
F
2 3 × 32
G 4 × 2 × 32
H 2 × 2 × 4 × 2 × 3 × 3
J
2 3 × 9
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