Prime Factorization
Select three prime numbers.
a. 2
b. 21
c. 47
d. 73
e. 76
a. 2
c. 47
d. 73
Select all options that are equivalent to -3/5.
a.) 3/5
b.) -3/5
c.) -3/-5
b.) -3/5
What is 60% of 240?
30%
Enter the value of n so that the expression
(–y + 5) + (7y – 9) is equivalent to (ny – 4).
Answer: 6
Which sampling method would be most accurate?
a. The teacher asks 20 students in the school's skating club if they want to go skating.
b. The teacher asks 20 people in the city chorus if they want to go skating.
c. The teacher asks every 20th student who walks into the school in the morning if they want to go skating.
d. The teacher asks every 20th person who walks into the grocery store in the morning if they want to go skating.
c. The teacher asks every 20th student who walks into the school in the morning if they want to go skating.
What is the prime factorization of 42?
a. 6 · 7
b. 2 · 21
c. 2 · 3 · 7
d. 2 · 3 · 8
c.) 2 · 3 · 7
Which expression has a value of -7/10?
a.) 14 / 20
b.) -20 / 30
c.) 14 / -20
d.) -20 / -14
c.) 14 / -20
The original price of a basketball costs $25. It is on sale for 35% off.
What is the sale price of the basketball?
$16.25
Enter the value of n so that the expression
–y + 5.3 + 7.2y – 9 is equivalent to 6.2y + n.
Answer: − 3. 7
A restaurant is choosing a new menu item. They want to ask all of their
customers which option they like the best, but they cannot ask them all.
Which sampling method would be most accurate?
a. Ask all teenagers.
b. Ask all the female customers.
c. Ask customers who have been eating there for exactly 5 years.
d. Ask a random group of customers from each age level.
d. Ask a random group of customers from each age level.
What is the prime factorization of 63?
a. - 3 · 7
b. 3 · 21
c. 3 · 72
d. 32 · 7
d.) 32 · 7
Solve.
-45 / -9
Choose the quotient of the given expression.
a.) 5
b.) -5
c.) 45/5
d.) 9
a.) 5
A store sells winter coats.
The original price of a coat is $119.
A 5% sales tax is added.
What is the total cost of the coat?
Answer: $124.95
Which property is demonstrated by the equation shown?
2x + 6 − 3x + 2 = 2x − 3x + 6 + 2
a. Distributive property
b. Commutative property
c. Associative property
d. Inverse property
b. Commutative property
A middle school has:
● 320 sixth grade students
● 280 seventh grade students
● 310 eighth grade students
The librarian wants to know which books are the most popular among the
students in her school. Since she cannot ask all the students, she will
survey a group of them.
Which sample can best help her draw conclusions about the preferences
of all the students in the school?
a. 42 sixth graders, 45 seventh graders, 49 eighth graders
b. 45 sixth graders, 45 seventh graders, 45 eighth graders
c. 49 sixth graders, 42 seventh graders, 45 eighth graders
d. 45 sixth graders, 42 seventh graders, 49 eighth graders
Answer: c
Select two expressions that represent the prime factorization of 88.
a. 8 · 11
b. 23· 11
c. 22· 11
d. 2 · 2 · 11
e. 2 · 2 · 2 · 11
b. 23· 11
e. 2 · 2 · 2 · 11
Solve.
-(4 / 5) / (2 / 3)
a.) -8 / 15
b.) 12 / 10
c.) -12 / 10
d.) -2 / 1.66
c.) -12 / 10
A student answers 85% of the questions on a test correctly. The student correctly answers 34 questions.
What is the total number of questions on the test?
Answer: 40
Which expression is equivalent to 36x + 9?
a.) 4x + 1
b.) 36(x + 1)
c.) 4(9x + 1)
d.) 9(4x + 1)
d.) 9(4x + 1)
A school librarian wants to know which books are the most popular among
the students in her school. Since she cannot ask all the students, she will
survey a group of them. She decides to survey 10 random students from
each grade.
Select all the reasons why this is a valid sampling method.
a. This sample is the most random.
b. This sample represents only the students who like to read.
c. This sample is the easiest.
d. This sample represents the whole population.
e. This sample represents only students who visit the library.
Answer: a and d
Find the prime factorization of 120. Write the answer using exponents.
23· 3 · 5
Solve. Round to the nearest hundredth.
-5 / - 4.2
1.19
An athlete played in a basketball tournament last year and this year.
The athlete scored 15 points last year.
The athlete scored 25 points this year.
What is the percent of change in points from last year to this year? Round to the nearest whole percent.
Answer: 67%
Select TWO expressions that are equivalent to –72x + 60.
a.) –12(6x – 5)
b.) –12(–6x – 5)
c.) -8(9x - 7)
d.) 8(-9x + 7)
e.) 6(–12x + 10)
f.) –6(–12x – 10)
a.) –12(6x – 5)
e.) 6(–12x + 10)
A researcher asks 10 of his friends if they like the latest flavor of soda
being tested by a popular brand.
● 7 of the 10 said “yes.”
● The researcher tells the soda company “7 out of 10 people like our
new flavor of soda.”
Is the researcher’s conclusion valid?
a. Yes, because the researcher asked a representative sample of the
population of soda drinkers.
b. Yes, because the researcher correctly recorded the opinions of his
sample set.
c. No, because the researcher did not ask a representative sample of the population of soda drinkers
d. No, because the correct conclusion is that 30% like the new flavor
of soda.
Answer: C