Linear Equations

Equation Solving

100

9x – 13 = 95

x = 12

200

Solve for a.

4a + 3 = 2a + 9

a = 3

300

-3b + 7 = 9b – 17

b = 2

400

-6c - 4 = -8c – 20

c = -8

500

-11b + 2 = -13b - 16

b = -9

Slope

100

Find the slope of y = -4x + 3.

-4

200

Find the slope of

y = 9x + 4.

9

300

y = -8x - 7

-8

400

y = 5x - 7

5

500

y = -x - 12

-1

y-Intercepts

100

y = -4x + 3

(0, 3)

200

y = -15x – 9

(0, -9)

300

y = -7x - 11

(0, -11)

400

y = 6x - 19

(0, -19)

500

y = -2x

(0, 0)

Word Problems

100

A baseball card company produces 4,000 cards each day. Is this a linear function?

Yes, it increases at the same rate.

200

A car travels 25 mph for the first 6 miles of a trip. It then travels 55 mph for the rest of the trip. Is this a linear function?

No, it is nonlinear because it does not increase at a constant rate.

300

A car wash charges $10.50 per car. Is this an example of a linear function?

Yes, because it increases at a constant rate.

400

A cell phone company charges $35 for the first 3 months and then $55 every month after. Is this a linear function?

No, it is nonlinear because it does not increase at a constant rate.

500

A plane takes off at 285 mph. It then travels at a cruising speed of 575 mph for the rest of the trip. Is this a linear function?

No, it is nonlinear because it does not travel at a constant rate.

Find the Output

100

Find the output, g, of the function when r = -4.

g = 9r - 6

g = -42

200

Find the output, g, of the function when r = 12.

g = -5r - 8

-12

300

Find the output, x, of the function when y = 9.

x = -5y - 8

-53

400

Find the output, y, of the function when x = 4.

3y = -2x + 5

-1

500

Find the output, b, of the function when a = -7.

21b = 4a + 28

0