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Equation Concepts

Select each option that is an equation.

What is an equation?

How many numbers makes 0 = 3x – 7 true?

How many solutions does y = 3(0) – 7 have?

What is another name for the point where y = 3x – 7 and y = 0?
(Strategy hint: make a quick sketch of this information.)

What is another name for the point where y = 3x – 7 and x = 0?

What strategy did you use to solve the last problem?

(What is another name for the point where y = 3x – 7 and x = 0?)

You know that a linear equation, y = mx + b, is graphed as a line. What does the line show about the solutions of the equation?

What does the parabola show you about the solutions of a quadratic equation (like y = 4x2 + 22x + 81)?

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Question #1

A vet gives 5mL of a medicine for every 10 pounds a dog weighs.
How many milliliters should the vet give a 55 pound dog?

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Question #2

Kim buys a bag of chips with 20 ounces. Each serving is 4 ounces. The label says each serving has 125 calories. How many calories are in the bag?

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Question #3

A 12–ounce milkshake has 225 calories. How many calories are in a 20–ounce milkshake?

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Question #4

A cake has sixteen servings and the label says each serving has 225 calories. How many calories are in a half serving?

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Question #5

In the same situation (copied below), how many calories are in the whole cake?
(Situation: A cake has sixteen servings and the label says each serving has 225 calories.)

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Question #6

An 8–ounce serving of soda has 120 calories.
How many calories are in a two–liter bottle? (There are 33.814 ounces in a liter.)

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Feedback

You made it to the end! Here is your feedback for "Distance, Rate, Time problems"

Think about what strategies worked (and didn't work) for you this time. How can you do well next time?

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Question #1

Teri takes the bus to New York City. It's a 225 mile trip, and she has gone 45 miles in 40 minutes.

How many minutes will the entire trip take?

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Question #2

A laaazy catepillar moves 3 feet in 5 minutes. How many feet will this lazy animal travel at this rate in one hour?