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Construct Functions Worksheet for 8th Grade Course 8.F.B.4

Construct Functions Worksheet for 8th Grade Course 8.F.B.4 preview
Construct Functions Worksheet for 8th Grade Course 8.F.B.4 preview

Look Inside · 8 pages · answer key included

Function graph problems 1–2: write equations in y=mx+b form for an increasing line and a decreasing line.
Graph problems 1–2 of the 14-problem worksheet
Function graph problems 3–4: write equations in y=mx+b form for two increasing lines with different slopes.
Graph problems 3–4 of the 14-problem worksheet
Function graph problems 5–6: write equations for a decreasing line through (0, 2) and an increasing line.
Final graph problems, 5–6
Function table problems 7–8: write and explain equations for cupcake prices and medicine by patient weight.
First table problems, 7–8
Function table problems 9–10: find equations from x and y values and from patient weights and medicine amounts.
Table problems 9–10 of the worksheet
Function table problems 11–12: write and explain equations for prices of one to six cakes and hot dogs.
Table problems 11–12: cakes and hot dogs
Function table problems 13–14: write and explain equations for taco prices and medicine by patient weight.
Final table problems, 13–14

Answer key included

Answer key included
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Grades

Grade 8

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PDF

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About This Product

This worksheet is for 8th grade math course 8.F.B.4. There are two types of tasks: Constructing functions from graphs and constructing functions from tables. We are always looking for the form y=mx+b. This worksheet is a printable pdf that includes answers. 

This worksheet doesn’t represent any new skills to the students, at this point they should be able to construct functions from graphs and tables. However, the skill of constructing functions from tables may need some more practice at this point of their 8th grade math studies. 

The tasks with graphs are not too hard; some of them have fractions as rate of change, but the grid is placed so that you should be able to find exact values for the rate of change. The graphs have different grids to make the students pay careful attention.

As for tasks with tables, students need to find the rate of change and the initial value (y-intercept) from the tables that represent real life situations. They usually also have to do some calculations before the can construct a function. Some examples of real life situations are: prices that include pay per unit and a delivery fee or dose of a medicine.

This resource has 7 task pages and 1 answer page

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