Parts of an expression (M1M5 Big Idea E)

Matt and Carla each spent $100 at the mall. Together they bought five sweaters and two pairs of pants.

This situation is modeled by the equation 5x + 2y = 100.

In this equation, what does y represent?

• The number of sweaters Matt and Carla bought

• The price of the sweaters Matt and Carla bought

• The number of pants Matt and Carla bought

• The price of the pants Matt and Carla bought

Mike owns a chocolate shop, and he wants to create a new box of chocolates to sell for $50. He decides to include dark chocolate, (d), milk chocolate (m), and white chocolate (w).

This situation is modeled by the equation 1.5d + m + .75w = 50.

What is the price of one piece of milk chocolate?

• $1.50

• $.75

• $0

• $1

Rain is falling at a rate of 2 inches per hour with a total of 6.5 inches of rain for the day.

This situation is modeled by the equation 2x = 6.5

What does x represent in this equation?

• the amount of rain that falls in one hour

• the total amount of rain fall for the day

• 1 hour

• the total hours that rain has fallen

A theme park costs $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and hamburgers for $3.50 each. If Paul enters the park and purchases d hot dogs and b hamburgers, the amount of money m he spends can be modeled by the equation m = 2.5d + 3.5b + 25.

Which of the following are correct interpretations for parts of this equation?

• 2.5d represents the cost of entering the park

• 2.5d represents the cost of purchasing d hot dogs

• 3.5b represents the cost of purchasing b hamburgers

• 25 represents the cost of purchasing d hot dogs and b hamburgers

Students at a bake sale sell bags of cookies for $2.25 each and bags of miniature muffins for $1.50 each. While selling their baked goods, the students also received a $25 donation. The amount of money the students make from selling c bags of cookies and m bags of muffins can be modeled by the expression 2.25c + 1.5m + 25.

Interpret the expression 2.25c + 1.5m in this context.

• The expression 2.25c + 1.5m represents the money earned from selling c bags of cookies

• The expression 2.25c + 1.5m represents the money earned from selling m bags of muffins

• The expression 2.25c + 1.5m represents the money earned from selling c bags of cookies and m bags of muffins

• The expression 2.25c + 1.5m represents the money earned from selling one bag of cookies and one bag of muffins

Alyssa wants to work for Carlos and Clarita, pampering the animals for a certain amount of time. Let c represent the number of cats and let d represent the number of dogs she can care for.

Based on the inequality 16c + 15d ≤ 240, how many minutes will Alyssa spend with each cat?

• 16 minutes

• 15 minutes

• 240 minutes

• The minutes cannot be determined from the inequality.

Andy has $300 in his bank account. Each week he withdraws $30 for food.

This situation is represented by the equation y = 300 - 30x.

What does x represent in this situation?

• The money left in Andy's account after he withdraws money

• The money Andy takes out each week

• The number of weeks

• Andy's original bank balance.

• The number of shirts Michelle buys

• The number of pants Michelle buys

• The cost of one pair of pants

• The cost of one shirt

Jesse earns $15 an hour babysitting for his younger brother. His mom gave him $125 last week. This included his babysitting money and his weekly allowance.

This situation is modeled by the equation 15x + 50 = 125.

What does 50 represent in this equation?

• The money Jesse earns babysitting

• The hours Jesse babysat his younger brother

• Jesse's weekly allowance

• The total amount of money Jesse's mother gave him

Carlos and Clarita want to buy food for more animals. Let r represent the number of bags of rabbit food and let g represent the number of bags of goldfish food they will buy.

Based on the inequality25r + 15g ≤ 300, what does 15 represent in this inequality?

• The number of bags of rabbit food Carlos and Clarita bought

• The number of bags of dog food Carlos and Clarita bought

• The price of one bag of rabbit food

• The price of one bag of goldfish food