Back to Details Practice: Use the equation of a linear model to solve problems, interpreting the slope and y-intercept. (NC.8.SP.3) Open in Editor

Practice: Use the equation of a linear model to solve problems, interpreting the slope and y-intercept. (NC.8.SP.3)

Targeted remediation practice

            📚 Mathematics
                            🎓 Grade 8
                                        ⏱️ 25 minutes
                    

Learning Objectives

Use the equation of a linear model to solve problems, interpreting the slope and y-intercept.

            Progress
            4 sections
        

1
Practice set 1

Question 1

A model for cost is $y = 6x + 21$ , where x is items and y is total dollars. What does the y-intercept 21 represent?

The number of items
The total for 21 items
The cost per item
A fixed starting cost of {money:21} before any items

Question 2

A model for plant height is $y = 5x + 24$ , where x is weeks and y is height in cm. What does the slope 5 mean?

The plant grows 5 cm each week
The plant reaches 5 cm total
The plant is 5 weeks old
The plant started at 5 cm

Question 3

A model for cost is $y = 8x + 20$ , where x is items and y is total dollars. What does the y-intercept 20 represent?

The number of items
The total for 20 items
A fixed starting cost of {money:20} before any items
The cost per item

Question 4

A model for plant height is $y = 4x + 25$ , where x is weeks and y is height in cm. What does the slope 4 mean?

The plant started at 4 cm
The plant is 4 weeks old
The plant grows 4 cm each week
The plant reaches 4 cm total

Question 5

A model for cost is $y = 2x + 8$ , where x is items and y is total dollars. What does the y-intercept 8 represent?

A fixed starting cost of {money:8} before any items
The cost per item
The total for 8 items
The number of items

2
Practice set 2

Question 6

A model for plant height is $y = 4x + 9$ , where x is weeks and y is height in cm. What does the slope 4 mean?

The plant grows 4 cm each week
The plant started at 4 cm
The plant is 4 weeks old
The plant reaches 4 cm total

Question 7

A model for cost is $y = 5x + 6$ , where x is items and y is total dollars. What does the y-intercept 6 represent?

The total for 6 items
The number of items
The cost per item
A fixed starting cost of {money:6} before any items

Question 8

A model for plant height is $y = 2x + 17$ , where x is weeks and y is height in cm. What does the slope 2 mean?

The plant grows 2 cm each week
The plant reaches 2 cm total
The plant is 2 weeks old
The plant started at 2 cm

Question 9

A model for cost is $y = 7x + 16$ , where x is items and y is total dollars. What does the y-intercept 16 represent?

The number of items
A fixed starting cost of {money:16} before any items
The total for 16 items
The cost per item

Question 10

A model for plant height is $y = 4x + 27$ , where x is weeks and y is height in cm. What does the slope 4 mean?

The plant started at 4 cm
The plant is 4 weeks old
The plant grows 4 cm each week
The plant reaches 4 cm total

3
Practice set 3

Question 11

A model for cost is $y = 6x + 6$ , where x is items and y is total dollars. What does the y-intercept 6 represent?

The cost per item
The total for 6 items
The number of items
A fixed starting cost of {money:6} before any items

Question 12

A model for plant height is $y = 6x + 6$ , where x is weeks and y is height in cm. What does the slope 6 mean?

The plant grows 6 cm each week
The plant is 6 weeks old
The plant reaches 6 cm total
The plant started at 6 cm

Question 13

A model for cost is $y = 2x + 10$ , where x is items and y is total dollars. What does the y-intercept 10 represent?

The number of items
The total for 10 items
A fixed starting cost of {money:10} before any items
The cost per item

Question 14

A model for plant height is $y = 4x + 30$ , where x is weeks and y is height in cm. What does the slope 4 mean?

The plant is 4 weeks old
The plant started at 4 cm
The plant grows 4 cm each week
The plant reaches 4 cm total

Question 15

A model for cost is $y = 3x + 15$ , where x is items and y is total dollars. What does the y-intercept 15 represent?

A fixed starting cost of {money:15} before any items
The number of items
The total for 15 items
The cost per item

4
Practice set 4

Question 16

A model for plant height is $y = 7x + 5$ , where x is weeks and y is height in cm. What does the slope 7 mean?

The plant started at 7 cm
The plant reaches 7 cm total
The plant grows 7 cm each week
The plant is 7 weeks old

Question 17

A model for cost is $y = 5x + 28$ , where x is items and y is total dollars. What does the y-intercept 28 represent?

The total for 28 items
The cost per item
A fixed starting cost of {money:28} before any items
The number of items

Question 18

A model for plant height is $y = 2x + 6$ , where x is weeks and y is height in cm. What does the slope 2 mean?

The plant started at 2 cm
The plant reaches 2 cm total
The plant is 2 weeks old
The plant grows 2 cm each week

Question 19

A model for cost is $y = 5x + 18$ , where x is items and y is total dollars. What does the y-intercept 18 represent?

A fixed starting cost of {money:18} before any items
The total for 18 items
The number of items
The cost per item

Question 20

A model for plant height is $y = 4x + 20$ , where x is weeks and y is height in cm. What does the slope 4 mean?

The plant grows 4 cm each week
The plant is 4 weeks old
The plant started at 4 cm
The plant reaches 4 cm total

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