Chapter 3 Exam 8th Grade

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For the x/y table attached in the show your work section, fill in the missing values and then select the correct rule for the table.

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Simplify the expression by combining like terms.

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Evalute the following when x = 4 and y = -3.

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Follow order of operations to simplify the expression below:

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A redwood tree in King’s Canyon National Park, California has a circumference of 221 inches. Tanner measured the circumference of some other redwoods that had been planted over the last five years. His data is recorded in table provided. Complete the table.

Use the table from above to complete questions 6 through 11. Assume the tree grows at a constant rate. 

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Write the rule for the circumference of the tree.

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How big is the circumference of the tree 7 years after planting?

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How big is the circumference of the tree 2 years after planting?

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How big was the circumference of the tree when it was planted?

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Predict the circumference of the tree in 30 years.

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Predict when the circumference of the tree will be the same as the redwood tree in King’s canyon (221 inches around).

Use the following information to answer questions 12 through 15. 

Matthew’s hamster weighs half as much as his cat. His dog weighs 2.5 times as much as his cat. If the weight of all three pets is 40 pounds, how much does his cat weigh? Let c represent the weight of the cat.

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Which expression represents the weight of Matthew’s hamster?

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Which expression represents the weight of his dog?

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Which equation represents the total weight of the cat, dog, and hamster?

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Solve your equation from part c for the weight of Matthew's cat.

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If Christy and Lucas eat 4 cups of popcorn in 30 minutes, how many minutes does it take them to eat 6 cups of popcorn?

Show all work on the following problems. 

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Solve the following equation for x. Show all work.

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Solve the following equation for x. Show all work.

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Using at least 9 points from the graph below, complete the table. Then write a rule for the table in y=mx + b form.

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Michael was solving an equation. After he finished, his result was 4 = 4. This result confused him. Explain to Michael what his result means. Explain your reasoning thoroughly.

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Complete the table and graph provided. Use the following equation. Be sure to make a complete graph.

Use the pattern below for questions 22 through 26. 

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By how much is the pattern growing?

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How many tiles would be in figure 0?

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How many tiles would be in figure 4?

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Write the rule for the pattern in y = mx + b form.

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For the x/y table attached in the show your work section, fill in the missing values and then select the correct rule for the table.

Simplify the expression by combining like terms.

Evalute the following when x = 4 and y = -3.

Follow order of operations to simplify the expression below:

A redwood tree in King’s Canyon National Park, California has a circumference of 221 inches. Tanner measured the circumference of some other redwoods that had been planted over the last five years. His data is recorded in table provided. Complete the table.

Write the rule for the circumference of the tree.

How big is the circumference of the tree 7 years after planting?

How big is the circumference of the tree 2 years after planting?

How big was the circumference of the tree when it was planted?

Predict the circumference of the tree in 30 years.

Predict when the circumference of the tree will be the same as the redwood tree in King’s canyon (221 inches around).

Which expression represents the weight of Matthew’s hamster?

Which expression represents the weight of his dog?

Which equation represents the total weight of the cat, dog, and hamster?

Solve your equation from part c for the weight of Matthew's cat.

If Christy and Lucas eat 4 cups of popcorn in 30 minutes, how many minutes does it take them to eat 6 cups of popcorn?

Solve the following equation for x. Show all work.

Solve the following equation for x. Show all work.

Using at least 9 points from the graph below, complete the table. Then write a rule for the table in y=mx + b form.

Michael was solving an equation. After he finished, his result was 4 = 4. This result confused him. Explain to Michael what his result means. Explain your reasoning thoroughly.

Complete the table and graph provided. Use the following equation. Be sure to make a complete graph.

By how much is the pattern growing?

How many tiles would be in figure 0?

How many tiles would be in figure 4?

Write the rule for the pattern in y = mx + b form.

Predict the number of tiles in figure 50.