Verbal Phrases and Two Step Word Problems

Verbal Phrases and Two Step Word Problems

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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.

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It is important to label what the variable stands for in each problem!​

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.

• x= $ per hour 7x = 63

• x= # of hours. 7x + 35 = 63

• x= # of hours. 7x - 35 = 63

• x= hoursm 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.

• x= # of rides .50x + 20 = 35

• x= entrance .50x = 35

• x= rides .50 + 20x = 35

• x= # of rides .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= # of hours h = 2(9) + 15

• h= # of boats 33 = 15h + 2

• h= rent

  h = 15(9) + 2

• h= # of hours 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?

• x= CD's

  12 + 14x = 50

• x= # of CD's

  12x + 14 = 50

• x= money

  50 - 14 - 12 = x

• x= DVD's

  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. How many months has he paid for his membership? Which equation matches this situation?

• m= # of months

  50 + 20m = 290

• m= # of weeks

  20 + 50m = 290

• m= price

  50 + 20 = m

• m= $ per month 50m - 20 = 290

Multiple Choice

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

• x= # of hours

  11x + 6 = 39

• x= $ per hour

  11x - 6 = 39

• x= # of softballs

  11 + 6x = 39

• x= $ per hour

  66x = 39

Multiple Choice

Michael won 38 super bouncy balls playing the bean bag toss at the Franklin County Fair! He gave two bouncy balls to each of the students (x) in his math class. He has two remaining. How many students are in his math class, not counting him?

Which of the following equations could be used to solve this problem?

• $$\frac{x}{2}+2=38$$ x= # of students in math class

• $$38-2x=2$$

  x= # of student in math class

• $$\frac{38}{2}-x=2$$

  x= # of bouncy balls

• $$2x+2=38$$ x= bouncy balls

Multiple Choice

WRITE AN EQUATION
April had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• n=total cost pencils; 7n+10=24
• n=cost of 1 pencil; 7n-10=24
• n=cost of 1 pencil; 7n+10=24
• n=pencil

  -7n-10=24