Verbal Phrases and Two Step Word Problems

Verbal Phrases and Two Step Word Problems

by Kevvin Hankins

Verbal Phrases and Two Step Word Problems

Multiple Choice

Match the clue word with the operation:

QUOTIENT

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Translate this phrase into an algebraic expression.

2 times the difference of t and 11

• 2t - 11

• 2(t - 11)

• $$2\left(\frac{t}{11}\right)$$

• 2 x t - 11

Multiple Choice

Write a verbal expression for:

2a+6

• 6 more than the product of 2 times a

• 6 less than the product of 2 times a

• 6 more than the quotient of 2 and a

Multiple Choice

The quotient of a number and 8

• 8g

• $$\frac{8}{g}$$

• g + 8

• $$\frac{g}{8}$$

Multiple Choice

Write an algebraic expression for:

35 decreased by a number

• 35+n

• 35-n

• n-35

Multiple Choice

Eight less than three times a number is best represented by:

• 3(x-8)

• 3x - 8

• 8 - 3x

Multiple Choice

The difference of a number t and 2

• t + 2

• t - 2

• 2 - t

Multiple Choice

4 less than g

• 4 - g

• g - 4

• 4 + g

Multiple Choice

The sum of m and n

• n + m

• m - n

• n - m

Word Problems

We are going to practice writing equations to match with word problems. To the right is an example of the first type of problem we will be solving.

Multiple Choice

What operation do these terms mean?

difference

decreased by

less than

• addition

• subtraction

• multiplication

• division

Multiple Choice

What operation do these terms mean?

combined

increased by

more than

• addition

• subtraction

• multiplication

• division

Multiple Choice

What operation do these terms mean?

per

each

every

product

• addition

• subtraction

• multiplication

• division

Multiple Choice

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x = 63

• 7x + 35 = 63

• 7x - 35 = 63

• 35x + 7 = 63

Multiple Choice

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35

• .50x - 20 = 35

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• h = 2(9) + 15

• 33 = 15h + 2

• h = 15(9) + 2

• 33 = 2h + 15

Multiple Choice

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

• 12 + 14x = 50

• 12x + 14 = 50

• 50 - 14 - 12 = x

• 50x + 12 = 14

Multiple Choice

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Multiple Choice

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

• 11x + 6 = 39

• 11x - 6 = 39

• 11 + 6x = 39

• 66x = 39