Order of Operations & Numerical Expressions

Which best describes this expression?

45 x 7

• 45 more than 7

• 7 fewer than 45

• 45 times as much as 7

• 7 groups arranged to equal 45

Which expression has a value of 20?

• 3 x (6 + 2)

• (3 x 6) + 2

• 3 + (6 x 2)

• (3 + 6) x 2

Ms. Hernandez gave these instructions to her math students.

Add 6 and 12.

Multiply the result by 10.

Which expression has the same final answer as in Ms. Hernandez's instructions?

• (6 x 12) + 10

• 6 + (12 x 10)

• (6 + 12) x 10

• 6 x (12 + 10)

(12 x 6) - 4

• 24

• 48

• 68

• 72

Which expression matches this problem?

2 more than the product of 6 and 3

• 2 + (6 + 3)

• 2 + (6 - 3)

• 2 + (6 x 3)

• 2 + (6 $\div$ 3)

(11 x 4) + 9

• 53

• 63

• 83

• 143

Which number goes in the blank to make the equation true?

(11 + 4) + 3 = ( ___ + 6) +2

• 8

• 10

• 11

• 15

What is the correct way to simplify this expression?

6 x (12 + 3)

• Add 3 and 12, and then add that sum to 6.

• Add 3 and 12, and then multiply that sum by 6.

• Multiply 6 by 12, and then add 3 to that product.

• Multiply 6 by 12, and then multiply 6 by 3. Then find the difference between these two products.

Which statement describes how to simplify 8 + [4 x (3 + 6)]

• Add 8 and 4, multiply the sum by 3, and then add 6.

• Multiply 4 by 3, add 6 to that product, and then add that to 8.

• Add 8 and 4, add 3 and 6, and then multiply both sums together.

• Add 3 and 6, multiply the sum by 4, and then add 8 to that product.

Kamiko wrote a problem for homework. The answer to her problem is 33. Which problem did Kamiko write?

• 3 x (4 + 5) + 6 =

• (3 x 4) + 5 + 1 =

• 2 x 4 + (5 + 6) =

• 3 x 4 + 5 + 6 =