Algebra 2A Review

Equations

100

Solve:

2(x-3)=10

x=5

200

Solve:

-4(2x-6)+x>10

x<2

300

Solve:

3x-2(5-2x)=7x+5

No Solution

400

Solve:

|2x-5|+3=13

x=15/2 and -5/2

or

x=7.5 and -2.5

500

Solve:

|2x|=x-1

No solution, Extraneous: x=-1 and 1/3

Factoring

100

What is the greatest common factor of:

4x³-x²+8x-12x⁴?

x

200

Factor:

x²+5x-6

(x+6)(x-1)

300

Factor:

2x²-12x+16

2(x-4)(x-2)

or

(2x-8)(x-2)

or

(2x-4)(x-4)

400

Factor:

196y²-9

(14y+3)(14y-3)

500

Factor:

6a²-5a-4

(2a+1)(3a-4)

Linear Functions

100

What is the slope of a vertical line?

Undefined

200

Convert to slope-intercept form:

y+5=1/2(x-4)

y=1/2x-7

300

What type of line would you use (dashed or solid) and would you shade above or below the line for:

-1/2x-9<y

Dashed and above

400

What are the x and y intercepts of the equation:

3x-5y=-12

(-4,0) and (0, 12/5)

500

What is the solution to the system:

3y=x+5

-2x-5y=10

(-5,0)

Quadratic Functions

100

If a quadratic function is concave up, does it have a vertex point that is a minimum or maximum?

Minimum

200

State the standard form and vertex form of a quadratic

y=ax²+bx+c

and

y=a(x-h)²+k

300

What is the axis of symmetry for the equation:

y=2x²-8x+3

x=2

400

What is the vertex point of the equation:

y=-2x²+4x-1

(1,1)

500

Find the x-intercepts of the equation:

3x²-2x-2=y

(-0.549,0) and (1.215,0)

Random

100

What is i as a number?

The square root of -1

200

Expand the binomial:

(x+4)²

x²+8x+16

300

Simplify the radical:

the square root of 48

4 times the square root of 3

400

Simplify using exponent properties:

(x²y³z⁰)^-2/(x²y^-6x³)

1/x⁹

500

Expand and simplify:

(5i-2)(3i+4)

14i-23