Algebra 1 Spring Final Review

Throwback

100

(4 + 6/3)² - 2(8 - 3)

26

200

Distribute: -3(2x - 5)

-6x +15

300

Convert to slope-intercept form: 3x-4y=24

y = 3/4x - 6

400

Find the slope between (-2, -3) and (4, 9)

m = 2

500

(2x²y^-3)³

8x⁶y^-9 or (8x⁶)/y⁹

Absolute Value

100

|x| = 4

x = 4 & -4

200

|x - 6| = 14

x = 20, -8

300

3|x + 2| = 12

x = 2, -6

400

2|3x - 5| = -10

No Solution

500

|2x - 3| > 5

x > 4, x < -1

Systems of Equations/Inequalities

100

y > x - 3 is shaded on which half?

Above/Top half

200

If the inequality is less than or equal to, what kind of line do you draw?

A solid line

300

-4x+3y=9

-3x-3y=-9

(0, 3)

400

y=7x+4

6x+3y=12

(0, 4)

500

-9x+12y=21

-7x-2y=-29

(3, 4)

Exponential Functions

100

The "a" value of y=3(2)^x

3

200

The y-intercept of y=1/2(3)^x

1/2

300

y = 2(1/3)^x represents exponential __________

Decay

400

What is the growth factor for an account that earns 5.5% interest per year? 

1.055 

(1 + r)

500

A car was purchased for $10,000. The value depreciates by 6% per year. Write a function to represent this. 

f(x) = 10,000(0.94)^x

Polynomials/Quadratics

100

(4x²-3x+7)-(2x²+5x-3)

2x² - 2x + 10

200

What is the vertex of y=2(x-3)²+5

(3, 5)

300

Factor: x² - 10x + 24

(x - 6)(x - 4)

400

Solve the quadratic by factoring: x²-2x-35=0

x = 7, -5

500

Solve by using the quadratic formula: 2x²-2x-12=0

x = 3, -2