Writing equations
Linear Function Patterns
Linear and Nonlinear Equations
100

Three times a number, divided by ten equals 15.

3n/10=15

100

What is the formula for the equation of a line?

y = mx+b

100

The graph of a nonlinear function shows a constant rate of change. True or False?

False

200

Ten less than the quotient of a number and two is zero.

n/2-10=0

200

What does the m stand for in y = mx +b?

Slope

200

What kind of rate of change does the graph of a linear function show?

Constant Rate of Change

300

Twelve more than the product of a number and two is thirty-six.

2n+12=36

300

What does the b stand for in y = mx + b?

y-intercept

300

Do these coordinates represent a linear or nonlinear equation? (1,1), (2,3), (3,5), (4,7)

Why or why not?  If yes, what is the Constant Rate of Change

Linear Function

Constant rate of change is 2

400

If chocolate doughnuts cost $1.50 and chocolate chip muffins cost $2.25, how many of each can you purchase for $20.   Use d for doughnuts and m for muffins

1.5d+2.25m=20

400

Write the equation of the line given the following points: (0, 1), (1, 3), (2, 5), (3, 7)

y = 2x + 1

400

Do these coordinates represent a linear or nonlinear equation? (2,3), (4,6), (6,9), (8,12)

Why or why not?  If yes, what is the Constant Rate of Change

Linear Function

Constant rate of change 3/2 

500

Express the area of a rectangle whose length is twice its width decreased by 6.

Use w for width and A for area

A=w(2w-6)

500

Write the equation of the line given the following points: (-2, 4), (-1, 3), (0, 2), (1, 1), (2, 0)

y = -x + 2

500

Do these coordinates represent a linear or nonlinear equation? (-2, 4), (-1, 3), (0, 1), (1, 1), (2, 0)

Why or why not?  If yes, what is the Constant Rate of Change

Nonlinear

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