Test #2 Review

Parabolas

100

Find the coordinates of the vertex

f(x)=(x-1)² - 4 

(1, -4)

200

Find the x-coordinate of the vertex.

f(x) = x² - 5x + 3

x = 5/2

300

Find the y-intercept

y=-(x-6)²+4

(0, -32)

400

Find the vertex

f(x)=x²+4x-3

(-2,-7)

500

Find the vertex

f(x)=3x²-4x+1

(2/3, -1/3)

Lines

100

Write the equation of the line in point-slope form

m = -3 through the point (3, -5)

y+5=-3(x-3)

200

Find the intercepts of the line:

5x - 6y = 18

(18/5, 0) and (0, -3)

300

Find the equation of the line passing through the point that is vertical

(2, 8)

x = 2

400

Find the equation of the line perpendicular to 

y=-1/4x + 4 that passes through the point (-3, 7).  Express the answer in point-slope form.

y - 7 = 4(x + 3)

500

Find the equation of the line that passes through (2, -1) and is parallel to x + 3y = 7.  Express the answer in point slope form.

y + 1 = -1/3(x - 2)

Factoring

100

Find the GCF between each set of terms

10, 4x, 6x²

2

200

Factor

5x²-10x

5x(x - 2)

300

Factor

x²-3x+2

(x - 1)(x - 2)

(it's okay to have them switched)

400

Factor

x² - 36

(x + 6)(x - 6)

500

Factor

5x² - 14x - 3

(5x + 1)(x - 3)

Systems of Equations

100

Solve:

x + y = 3

x - y = 1

(2, 1)

200

Solve

3x+y=-11

x+2y = -7

(-3, -2)

300

Solve

y = 5-2x

x+ 4y=-15

(5, -5)

400

Solve

x=1/2y+3

y = -3x+14

(4, 2)

500

Solve:

3x+5y=-5

4x+6y=-6

(0, -1)

Absolute Value

100

Solve 

|x|+3=7

x = 4, -4

200

Solve

2|x+1|=6

x = 2, -4

300

Solve

2|x+3|-5=11

x = 5, -11

400

Solve:

2+3|x+5|=1

No solution

500

Solve:

5-3|2x-3|=2

x = 1, 2