Algebra 2 Review 1

Factoring

100

Factor 

x^2+7x+10

What is (x+5)(x+2)

200

Factor 

4x^2-9

What is (2x+3)(2x-3)

300

Factor 

5x^2+2x-3

What is (5x-3)(x+1)

400

Factor 

3x^3+18x^2+15x

What is 3x(x+1)(x+5)?

500

Factor 

x^3-64

What is (x-4)(x²+4x+16)?

Quadratic Equations

100

Solve 

x^2=81

What is x = 9 or -9?

200

Solve 

3x^2=6

What is 

sqrt2 or -sqrt2

300

Solve  

3x^2-17x+10=0

What is 

x=2/3 or x=5

400

Solve  

2x^2+x-5=0

What is 

x=(-1+sqrt41)/4 or x=(-1-sqrt41)/4

500

Solve by completing the square:

x^2+8x=-14

What is 

x=-4+sqrt2 or x=-4-sqrt2

Equations and Inequalities

100

Solve  

4x+7=27

What is 

x=5

200

Solve  

m-30=6-2m

What is 

m=12

300

Solve  

4(-3x+1)=-10(x-4)-14x

What is 

x=3

400

Solve  

abs(5x-4)+3=19

What is 

x=4 or x=-12/5

500

Solve  

abs(x-3)+5<6

What is 

2<x<4?

Linear Equations

100

Write the equation of the line in slope-intercept form with a slope of -2/3 and a y-intercept of 7.

What is 

y=-2/3x+7?

200

Find the x- and y- intercepts of 

5x+6y=90.

What is 

x=18 and x=15?

300

Write the equation in point-slope form with a slope of 2 and passing through the point (6,4).

What is 

y+4=2(x-6)?

400

Write the equation of the line parallel to 

y=-4x-7 passing through the point (-2,6) in slope-intercept form.

What is 

y=-4x-2?

500

Write the equation of the line passing through (6,-4) and (2,8) in slope-intercept form.

What is 

y=-3x+14?

Grab Bag

100

Subtract 

(2-6i)-(-10+4i).

What is 

12-10i?

200

What value of c will make x²-18x+c a perfect square trinomial?

What is 

c=81?

300

Multiply 

(-1+2i)(11-i).

What is 

-9+23i?

400

Divide (x³ + 2x² -6x -9) by (x - 2)

What is x² + 4x + 2   Remainder -5?

500

Factor y = 2x³ +11x² + 18x + 9 given that 

(x + 3) is a factor.

What is y = (x + 3)(x + 1)(2x+3)?