Final Review

Linear Functions

100

Given f(x) = x² - 3x - 2

What is f(-1)

f(-1) = 2

200

What is the slope between these points?

(1,1) and (-1, 3)

 m = -1

300

See slide 7

See slide 8

400

See slide 9

See slide 10

500

See slide 11

See slide 12

Solving Single Variable equations

100

Solve

2x + 3 = 4

x = 1/2

200

Solve

2(x - 3) + 3 = 7

x = 5

300

Solve

(1/2)x = 4

x = 8

400

Solve

6x + 3 = 5x + 9

x = 6

500

Solve for y

y - 3 = 2(x -3)

y = 2x -3

Writing Linear Equations

100

Given the equation

y - 2 = 3(x +2)

What is the slope and what is a point on the given line?

m = 2

(x₁, y₁) = (-2,2)

200

Given the point (1,1) and m = 3

what is the equation of the line?

y - 1 = 3(x-1)

or

y = 3x -2

300

See slide 16

y = 2x + 2

400

What is the equation of the line given two points

(1,1) and (1,8)

 x = 1

500

You buy a 10 inch candle from the store. When you light the candle, it burns at a rate of 2inches per hour.

Write an equation to solve for the height of the candle (y) after x amount of hours

 

y = -2x +10

Systems of Equations

100

Solve for x and y

2x +y = 6

2x + y = 5

No Solution

200

Solve for x and y

4x + 2y = 14

2x + y = 7

Infinitely many solutions

300

Solve for x and y

y = x + 4

2x - y = 4

x = 8

y = 12

400

Solve

2x + y = 6

3x - y = 9

x = 3

y = 0

500

Solve

2x + 3y = 0

4x + 7y = -2

x = 3

y = -2

Inequalities

100

Solve the inequality

-2x + 3 > 4

x < (-1/2)

200

See slide 13

x < 6

300

See slide 14

See slide 15

400

Solve 

(1/2)x + 3 < -3     or    -x + 8 < x

x < -12  or x > 4

500

Solve

-18< -3x +6 < 27

8 > x > 7