Pre-Algebra Chapter 3 Problem Solving Review 4

Problem Solving:
Working with Complex Terms

Tip #1: Some word problems involve complex terms that are the result of performing an operation on a variable from the story

Tip #2: When you find problems like this, be sure to pay close attention to how the complex term is formed

Multiple Choice

Read the problem.

Mr. Oldenberg's boat cost four times as much as his trailer. If the difference in price was $2400, what was the cost of each?

Which item needs a complex term to represent its cost?

• boat

• trailer

Fill in the Blanks

Read the problem. Write the complex term to represent the cost of the boat. Use t for the variable.

Mr. Oldenberg's boat cost four times as much as his trailer. If the difference in price was $2400, what was the cost of each?

Fill in the Blanks

Read the problem. Write an equation that could be used to solve it. Use t as the variable and the complex term you already wrote.

Mr. Oldenberg's boat cost four times as much as his trailer. If the difference in price was $2400, what was the cost of each?

Math Response

Use the equation you wrote to solve.

Mr. Oldenberg's boat cost four times as much as his trailer. If the difference in price was $2400, what was the cost of the trailer?

Type answer here

Correct Answer: 800

Deg^°

Rad

Math Response

Use the equation you wrote to solve.

Mr. Oldenberg's boat cost four times as much as his trailer. If the difference in price was $2400, what was the cost of the boat?

Type answer here

Correct Answer: 3200

Deg^°

Rad

Multiple Select

Read the problem.

Little Piggy Barbecue sold twice as many regular sandwiches that cost $4 each as jumbo sandwiches that cost $5 each. How many of each size were sold if their sales totaled $585?

Which item needs a complex term to represent the total money earned from selling that item?

• regular sandwiches

• jumbo sandwiches

Fill in the Blanks

Read the problem. Write the complex term that represents the total money earned from the sale of the regular sandwiches. Use x as the variable.

Little Piggy Barbecue sold twice as many regular sandwiches that cost $4 each as jumbo sandwiches that cost $5 each. How many of each size were sold if their sales totaled $585?

Fill in the Blanks

Read the problem. Write the complex term that represents the total money earned from the sale of the jumbo sandwiches. Use x as the variable.

Little Piggy Barbecue sold twice as many regular sandwiches that cost $4 each as jumbo sandwiches that cost $5 each. How many of each size were sold if their sales totaled $585?

Fill in the Blanks

Read the problem. Write an equation that could be used to solve it. Use x for the variable and the complex terms you already wrote.

Little Piggy Barbecue sold twice as many regular sandwiches that cost $4 each as jumbo sandwiches that cost $5 each. How many of each size were sold if their sales totaled $585?

Math Response

Use the equation you wrote to solve.

Little Piggy Barbecue sold twice as many regular sandwiches that cost $4 each as jumbo sandwiches that cost $5 each. How many jumbo sandwiches were sold if their sales totaled $585?

Type answer here

Correct Answer: 45

Deg^°

Rad

Math Response

Use the equation you wrote to solve.

Little Piggy Barbecue sold twice as many regular sandwiches that cost $4 each as jumbo sandwiches that cost $5 each. How many regular sandwiches were sold if their sales totaled $585?

Type answer here

Correct Answer: 90

Deg^°

Rad

Multiple Select

Read the problem.

Denny, Jamal, and Bobby have saved a total of 61 quarters. Bobby has five times as many as Denny, and Jamal has three fewer than twice as many as Denny. How many quarters does each boy have?

Which item needs a complex term to represent its cost?

• Denny

• Jamal

• Bobby

Fill in the Blanks

Read the problem. Write the complex term to represent Bobby's quarters. Use x for the variable.

Denny, Jamal, and Bobby have saved a total of 61 quarters. Bobby has five times as many as Denny, and Jamal has three fewer than twice as many as Denny. How many quarters does each boy have?

Fill in the Blanks

Read the problem. Write the complex term to represent Jamal's quarters. Use x for the variable.

Denny, Jamal, and Bobby have saved a total of 61 quarters. Bobby has five times as many as Denny, and Jamal has three fewer than twice as many as Denny. How many quarters does each boy have?

Fill in the Blanks

Read the problem. Write the equation that could be used to solve this problem. Use x for the variable, and the complex terms you already wrote.

Denny, Jamal, and Bobby have saved a total of 61 quarters. Bobby has five times as many as Denny, and Jamal has three fewer than twice as many as Denny. How many quarters does each boy have?

Math Response

Solve.

Denny, Jamal, and Bobby have saved a total of 61 quarters. Bobby has five times as many as Denny, and Jamal has three fewer than twice as many as Denny. How many quarters does Denny have?

Type answer here

Correct Answer: 8

Deg^°

Rad

Math Response

Solve.

Denny, Jamal, and Bobby have saved a total of 61 quarters. Bobby has five times as many as Denny, and Jamal has three fewer than twice as many as Denny. How many quarters does Bobby have?

Type answer here

Correct Answer: 40

Deg^°

Rad

Math Response

Solve.

Denny, Jamal, and Bobby have saved a total of 61 quarters. Bobby has five times as many as Denny, and Jamal has three fewer than twice as many as Denny. How many quarters does Jamal have?

Type answer here

Correct Answer: 13

Deg^°

Rad