Algebra II Midterm Review

Radical Equations

100

(x)^2/3

What is the cube root of x squared?

200

The method of making negative exponents positive.

What is moving the variable to the denominator?

300

The size of a "group" needed in a 5th root equation.

What is 5?

400

The method of "undoing" a cube root.

What is cubing/taking to the power of 3?

500

The square root of negative 1.

What is i?

Simplification

100

x³x⁴y²y^-4

What is x⁷y^-2?

200

(x²-36)/(x²+36x+12)

What is (x-6)/(x+6)?

300

3(x-3)²+6

(In standard form)

What is 3x²-18x+33?

400

4 in 3x³-6+4x⁷

What is the leading coefficient?

500

(2x+4)(3x²+6x-1)

What is 6x³+24x²+22x-4?

Lines and Inequalities

100

3 in -6x+2y=7

What is the slope?

200

2 in the equation of the line between (0,2) and (3,4)

What is the y-intercept?

300

(2,1) in the inequality y>2x+2

What is not a solution?

400

(0,0) in

y>2x-1

What is a solution?

500

x=-1 in (x²-4)/(x²+3x+2)<0.

What is an excluded value?

Roots and Excluded Values

100

1/x

What is the excluded value x=0?

200

(x²-100)

What is the root x=-10,10?

300

x²+14x-32

What is the root x= -16, 2 ?

400

(2x)/(3(x²-4))

Both:

What is the root x = 0 ?

and 

What is the excluded value x = -2, 2 ?

500

1/((x²-49)(x³+6x²+8x))

What is the excluded value x = -7, -4, -2, 0, 7 ?

Miscellaneous

100

Result of 2x3 times 3x3 matrix.

What is a 2x3 matrix?

200

A 3x3, 2x2, 4x4, etc. matrix.

What is a square matrix?

300

(h/g)(3) when h(x)=2, g(x)=x²-6x.

What is -2/9?

400

(x³+x²+4x+4)/(x+1) using synthetic division.

What is x²+4?

500

(2x)/(x²-9) * (x²+6x+9)/x²

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