Final Review

EZ Stuff (graphing)

100

Write out the slope formula ... 

(y₁-y₂) / (x₁-x₂)

200

Write out Point-Slope Form

(y-y₁) = m (x-x₁)

300

Parallel lines have (BLANK) slopes, and (BLANK) y-intercepts

Slopes are the same ... and the y-intercepts MUST be different

400

Write out Slope-Intercept form, and tell me what the letters other than x and y represent. 

y = mx + b ... m is the slope ... b is the y intercept

500

What is Standard Form (for graphing)

Ax + By = C

Systems

100

Solve: y = -x + 4 ... y = 2x - 8

(4,0) ... or x = 4 & y = 0

200

Solve: y = -6x - 8  ... y + 6x = 8

No solution ... all the variables cancel out and the statement is not true

300

Solve: -2x - 5y = 9 & 3x + 11y = 4

(-17,5) ... or x = -17 & y = 5

400

Solve: 12x - 7y = -2 & 8x + 11y = 30

(1,2) ... or x=1 & y=2

500

Solve: 15x - 5y = -20  ... -3x + y =4

Infinitely Many Solutions ... all variables cancel out and you have a true statement. 

Chapter 7 Stuff (polynomials)

100

(3x³ + 3x) + (4x - 6x³)

(-3x³ + 7x)

200

(3x³ + 3x) - (4x - 6x³)

(9x³ - x) 

300

(4 - 3d) * (2d -7) 

-6d² + 28d - 28

400

(3x³ + 3x) * (4x - 6x³)

-18x⁶ - 6x⁴ + 12x²

500

(x-10) * (x² + 3x - 14) 

x³ - 7x² - 44x + 140

Exponents (ch 6)

100

3² * 3⁴

3⁶

200

(k⁴)^-3

1 / k¹²

300

5^x = 5^3x-2

x = 1

400

3^x-2 = 1

x = 2

500

27^2x+2 = 81^x+4

x = 5

Factoring (difficult ch 7)

100

3x³ + 12x⁴

3x² (x + 4x²)

200

Factor: p²+2p-35

(p+7) (p-5)

300

Factor: b²+18b+80

(b+8) (b+10)

400

Factor: x² - x - 20

(x-5) (x+4) 

500

Find the Roots: a² + 5a - 20 = 30

a = 5 or a = -10