Order of Operations Worded Problems

Which choice gives the correct order of the operations needed to simplify the following expression?

15 − [ 2 × ( 1 + 2 ) ÷ 3 ]

• Subtract, Multiply, Add, Divide

• Add, Multiply, Divide, Subtract

• Add, Divide, Subtract, Multiply

• Divide, Subtract, Add, Multiply

Bryon's teacher asked him to simplify the numerical expression below.

2 + [ 36 ÷ ( 3 × 2 ) ]

Bryon used these steps:

Step 1: Multiply

Step 2: Divide

Step 3: Add

Which statement is true?

• Bryon made his first mistake in Step 1.

• Bryon made his first mistake in Step 2.

• Bryon made his first mistake in Step 3.

• Bryon's work is correct.

Gina and a friend ate a snack at Burger Buffet, They each ordered a drink for $2.50 and shared an order of nachos for $7. They shared the cost equally. Gina used the expression below to calculate her cost.

[ ( 2.50 + 2.50 ) + 7 ] ÷ 2

How much did Gina pay for her snack?

• $5

• $9.50

• $6

• $10

Simplify this expression.

[ ( 9 − 2 ) x ( 2 + 1 ) ] ÷ ( ¼ + ¾ )

What is the value of the simplified expression?

• 3

• 4

• 16

• 21

Mrs. Bilby asked four students to evaluate the following numerical expression.

40 − [ ( 30 ÷ 5 ) × 3 ]

The chart shows each student's response.

• Allison

• Bert

• Caroline

• David

Lei needs to simplify this expression.

18 ÷ 9 [ ( 12 − 2 ) + 4 ]

What operation will be performed last?

• Add

• Subtract

• Multiply

• Divide

Simplify.

• 48

• 2

• 24

• 23 r1

Division is the third step needed to simplify one of the following numerical expressions.

Which is the expression?

• ( 18 ÷ 2 ) ( 2 + 4)

• [ ( 18 ÷ 2 ) + 4 ] × 2

• ( 2 × 18 ÷ 2 ) + 4

• 2 × 18 ÷ ( 2 + 4 )