PEMDAS/ Prime Factorization

PEMDAS/ Prime Factorization

By Anna Perez

​What is the value of the expression shown?

59 + 16 ÷ 4²?

​Which of the following can be written as an equation?

​In order to get an equation the word "is" has to be between two numbers or a letter and a number.

Multiple Choice

Which of the following can be written as an equation?

• Two times 0.57 plus 3

• 5 is greater than twice g

• Half the quotient of 15 and 3

• 14 times n is 42

What is the prime factorization of 126?

​

a. 2 • 3² • 7​

b. 2 • 3 • 7​

c.​ 2 • 63

​d. 2 • 3 • 21

Multiple Choice

What is the prime factorization of 120?

• 2 • 3 • 5

• 2³ • 5

• 2³ • 3 • 5

• 3 • 5 • 2 • 2

​Dean had $85. He spent $6 per day for 7 days. Then he was given $15 to divide equally between himself and his 2 brothers. The following expression can be used to find the amount of money Dean had after that. 

85 - 6 • 7 + 15 ÷ 3

Based on this expression, what is the amount of money Dean had remaining?

Multiple Choice

Damian had $85. He spent $4 per day for 10 days. Then he was given $20 to dive equally between him and three of his brothers. The following expression can be used to find the amount of money Frank had after that.

85 - 4 • 10+ 20 ÷ 4

Based on this expression, what is the amount of money Frank had remaining?

• $207.50

• $50

• $607.50

• $45

​Which expression is equivalent to 2(  5 + 32 ) - 3 • 7²?

​

a. 2(37)-3 •14​

​

​b. 39 - 49

​

​c. 2(37) - 3 • 49

​

​d. 28 • 14

Multiple Choice

Which expression is equivalent to 6 (2 + 4) - 5 • 4 ³?

• -16 • 64

• 16 - (-20)³

• 12 + 24 - 24

• 6(6) - 5 • 64

Multiple Choice

Mrs. Anderson asked her students to find the prime factors of the numbers 90 and 98. Which of the following is the correct prime factorization of these numbers?

Multiple Choice

Which of the following equations has a value of -3?

• 3⁴ -(2 • 5) - 2 - 60

• 3⁴ - 2³ • (5 - 2) - 60

• (3 - 2) • 5 - 2 - 60 

• 3³ - 2⁴  • 2 - 60

Multiple Choice

Study the area model below. Which one of the following equations can represent the area model?

• 3 + (12n + 18) = 4n + 6

• 12n + 18 = (4n + 6) + 3

• 4n + 6 = 3 x (12n + 18)

• 3 x ( 4n + 6) = 12n + 18