Algebra II Review

Expressions, Equations & Inequalities

100

Evaluate the expression for x=5.

3(x²-4) + 7(x-2)

What is 84?

200

Simplify the expression 5(a-2b) - 3(a-2b).

What is 2a-4b?

300

Solve the equation

5(3w-2)-7=23

What is 8/3?

400

The lateral surface area of a cylinder is given by the formula S=2(pi)r h. Solve the equation for r.

What is r= S/(2(pi)h)?

500

Solve the inequality

2<10-4d<6

What is 1<d<2?

Functions & Equations

100

Find value for f(3) for f(x)=2x-5.

What is 1?

200

Find the slope of the line through (-.5,.5) and perpendicular to y=-2x-4.

What is 1/2?

300

Write an equation in standard form for the line through (-2,-5) and has a slope of 4.

What is 4x-y=-3?

400

Find the equation of the line in slope intercept form through (3,0) and (-1, -2).

What is y=x/2 -3/2?

500

Name the parent graph and describe the transformations of y=-(x-3)²+6

What is y=x² with transformations of a reflection across the y axis, translations of 3 units right and 6 units up?

Linear Systems

100

Solve the system by substitution.

.3x - y = 0

y= 2+.25x

What is the coordinate (40,12)?

200

Solve the system using elimination

4x-2y=3

y-2x= -3/2

What is infinitely many solutions?

300

Solve the system using any method.

3x+4y=9

2x+y=6

What is the coordinate (3,0)?

400

Solve the system using any method.

2x+3y=4

4x+6y=9

What is no solution?

500

The classification for a system that has one solution .

What is consistent independent?

Quadratic Functions and Equations

100

The vertex and axis of symmetry of

y=-(x-4)²+6

What is the coordinate (4,6)?

200

The direction of opening and maximum value for

y=-(x+2)² -15

What is down and -15 @ x=-2?

300

Factor completely

3x²+8x-3

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

400

The solutions to x²-8x=-6

What is 4 + & - sqrt 10?

500

Evaluate the discriminant of 3x²-x+3=0 and state the nature of the roots.

What is -35 and 2 imaginary roots?

Random

100

The base for log 15.

What is 10?

200

The polynomial function in standard form for the zeros x=5,-2.

What is x²-3x-10=0?

300

The depressed polynomial using synthetic division for (x³+5x²-x-5)/(x+5)

What is x²-1?

400

The possible rational roots of the function using the Rational Root Theorem.

f(x)= -2x³+7x²-4x⁴-2x +6

What is + and - (1,2,3,6,3/2,3/4)?

500

The number of positive and negative real zeros using Descartes Rule of Signs for

f(x)= 6x⁴-x³+5x²-x+9

What is 4,2 or 0 positive real roots and 0 negative real roots?