Algebra 2 Exam Review

System of Equations

100

4x-2y=4

5x+5y=18

The first equation is multiplied by 5. To solve the system, what does the second equation need to be multiplied by to eliminate the x variable by adding?

-4

200

3x+4y=7

5x+y=9

To solve the system, what expression could be substituted for y into the first equation?

9-5x

300

x-y=11

2x+y=19

What is the x-coordinate of the solution?

10

400

-6x+5y=1

6x+4y=-10

What is the solution to the system?

(-1, -1)

500

2x+8y=6

-5x-20y=-15

What is the solution to the system of equations?

Infinite Number of Solutions

Functions and Operations on Functions

100

{(1, 3) (2, 6) (3, 6)} 

Is the following a function? Why?

Yes, the x's don't repeat.

200

{(1, 3) (2, 6) (3, 6)} 

State the range.

R = {1, 2, 3}

300

f(x)=x² and g(x)=2x-3

Find (fxg)(x)

2x³-3x²

400

f(x)=x² and g(x)=2x-3

Find g[f(-2)]

5

500

f(x)=x² and g(x)=2x-3

Find [fog](x)

4x²-12x+9

Quadratics

100

x²-5x-14=0

Solve by factoring.

{7, -2}

200

x²+4x+3=0

Solve by factoring

{-1, -3}

300

2x²+2x-12=0

Solve by graphing.

{2, -3}

400

x²+2x-1=2

Solve by graphing.

{1, -3}

500

Write a quadratic equation with roots -5/2 and 4.

Must be in standard form ax²+bx+c=0 where a, b, and c are integers.

2x²+3x-20=0

Logarithms/Exponents

100

Write log₁₁121=2 in exponential form.

11²=121

200

Evaluate log₃81

4

300

Solve log₂n=4

16

400

Solve log₅10+log₅x=log₅90

9

500

Solve log₅25-log₅x=log₅100

1/4

Probability

100

P (face card)

3/13

200

P (jack or queen)

2/13

300

P (king or heart)

4/13

400

P (king and then queen without replacement)

4/663

500

P (2 kings without replacement)

1/221