Question 1

Which expression shows the prime factorization of 220?

Accepted Answer

${2^2}\bullet{5}\bullet{11}$

Answer

${2}\bullet{5^2}\bullet{11}$

Answer

${2^2}\bullet{5}$

Answer

${2}\bullet{10}\bullet{11}$

Question 2

John's reading teacher had a contest to encourage students to read every night.  The class will receive 15 points for each student who reads 15 minutes at home the night minutes at home.  If the class earns 50 points, they will get an extra 15 minutes of recess time.  According to the class chart, did John's class get extra recess time on Tuesday?

Accepted Answer

Yes, because $12(15)+5(-20)>50$

Answer

No, because $12(15)-5(-20)<50$

Answer

Yes, because $12(15)-5(-20)>50$

Answer

No, because $12(15)+5(-12)<50$

Question 3

Look at the factor tree.  If completed it will give the prime factorization of 660.

What is the prime factorization of 660?

Accepted Answer

$2^2	imes3	imes5	imes11$

Answer

$2	imes3^2	imes5	imes11$

Answer

$22	imes3	imes5	imes11$

Answer

$2	imes3	imes5	imes11$

Question 4

Which group shows the prime factorization of the number 104?

Accepted Answer

$2	imes2	imes2	imes13$

Answer

$2	imes2	imes26$

Answer

$2	imes4	imes13$

Answer

$4	imes26$

Question 5

A prime factorization of a value is shown below.

$2^3\bullet5\bullet7$

Which expression is equivalent to this prime factorization?

Accepted Answer

$4\bullet5\bullet14$

Answer

$30\bullet7$

Answer

$2\bullet15\bullet7$

Answer

$10\bullet7$

Question 6

What is the equivalent value of the expression below?

$4^3+4	imes6-10$

Accepted Answer

78

Answer

88

Answer

26

Answer

30

Question 7

The table shows the steps Less took to simplify the expression.

What mistake did Lee make?

Accepted Answer

Exponents and multiplication should have been done before addition.

Answer

Exponents and subtraction should be done before addition.

Answer

No mistake was made.

Answer

Addition should be done last.

Question 8

What is the prime factorization of 99?

Accepted Answer

$3^2\bullet11$

Answer

$9\bullet11$

Answer

$3^3\bullet11$

Answer

Not here

Question 9

The temperature in Mrs. Moreno's classroom was 89 degrees at 8:00 am.  She turned on the air and the temperature decreased 3 degrees every 10 minutes for the next hour.  By 9:30 am the air turned off and the temperature increased 8 degrees.

$89-3(60\div10)+8$

What was the air temperature in Mrs. Moreno's classroom at 9:30 am?

Accepted Answer

79 degrees

Answer

102 degrees

Answer

71 degrees

Answer

82 degrees

Question 10

Pete says the prime factorization of 100 is $5	imes2^2$ and Jan says the prime factorization of 100 is $5^2	imes2^2$.  Who is correct and why?

Accepted Answer

Jan is correct, because the prime factors of 100 are 5, 5, 2, and 2.

Answer

Pete is correct, because $5	imes25$ is 100.

Answer

Pete is correct, because the prime factors of 100 are 5, 2, and 2.

Answer

Jan is correct, because 100 has 2 prime factors.

Question 11

Chad, Nick, Andrew, and Sally simplified the following expression.

$(400	imes\frac14)-16(14-3^2)$

Chad said it is equal to $-133$.
Nick said it is equal to 1,167.
Andrew said it is equal to 240.
Sally said it is equal to 20. Who is correct?

Accepted Answer

Sally

Answer

Andrew

Answer

Nick

Answer

Chad

Question 12

What is the prime factorization of 66?

Accepted Answer

$2	imes3	imes11$

Answer

$2^2	imes3	imes11$

Answer

$2	imes3	imes6	imes11$

Answer

$6	imes11$

Question 13

John wrote two expressions.  The expressions are equivalent.  One of the expressions is $3^2-(2.5	imes2)$. What could be the other expresssion?

Accepted Answer

$2	imes(3+5-6)$

Answer

$2	imes(3+5)-6$

Answer

$2	imes3+(5-6)$

Answer

$(2	imes3)+5-6$

Question 14

Jackie needs to write and expression that is equivalent to 900.  Which expression could she write?

Accepted Answer

$2^2	imes3^2	imes5^2$

Answer

$2	imes3^2	imes5^2$

Answer

$2^2+3^2+5^2$

Answer

$2^2	imes3	imes5^2$

Question 15

Ed has $35 in his wallet . He bought 6 cards at $2.50 each and 4 pens at $3.25 each.  After he paid and put the change in his wallet, he found another $6 in his pocket.

He wrote this expression to find how many dollars he has left.

35 - 6  x  2.50 - 4  x  3.25 + 6

What number is equivalent to this expression?

Accepted Answer

13

Answer

113

Answer

23

Answer

33

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