Algebra 1 EOC Review

Exponents

100

(2x³)(-4x⁵)

-8x⁸

200

(3x²y⁴)²

9x⁴y⁸

300

-5x²y³ .  -6x^-4y⁵

 2xy        x³y

15y⁶

x⁶

400

(-3a^-4b)(2a²b⁴)

-6b⁵/a²

500

(-2a³b^-4)^-3

- b¹²/8a⁹

Factoring/Zeros

100

Factor:

x²-100

(x+10)(x-10)

200

Factor:

x²-5x+6

(x-2)(x-3)

300

Find the zeros:

x²+8x+7

x=-1 and x=-7

400

Find the zeros (quadratic formula)

x²+5x-7

-5+/-sqrt53

     2

500

Factor:

2x³+14x²+24x

2x(x+3)(x+4)

Random

100

Compare f(2) and g(2)

f(x)=2x+1

g(x)=x²+1

f(x)=g(x)

5=5

200

How can you determine if a table represents a linear versus exponential relationship?

For linear: the output value (y-value) adds the same value each time.

For exponential: the output value (y-value) multiplies by the same value each time.

300

What are two things you know about the graph of f(x) = 3(.5)^x

decays and the y-int = 3

400

A ball follows the path given by the function: h(t)=-2t²+8. If h(t) is the height in feet and t is time (in seconds). When does the ball hit the ground?

2 seconds

500

Find the vertex of -x²+6x+3

(3, 12)

Absolute Value

100

Solve: |x-3|+1=9

x=11, x=-5

200

Compare the minimums:

f(x) = |x-4|+3

g(x) = 2|x-7|+5

g(x) has the greater minimum since 5>3

300

What are the transformations of f(x) compared to the parent function y=|x| if 

f(x) = -1/2|x-4|+5

(name all of them)

Reflected (over x axis)

Compressed

Right 4

Up 5

400

Take the function f(x)=-2|x-4|+2 and shift it up 3 and left 2. Label this new function g(x). What is the equation?

g(x)=-2|x-2|+5

500

Graph y = |x-1|+2 and write as a piecewise function

          -x +3    x< 1

y =     x + 1     x>1

Mixed

100

Solve for a:

3b-a=c

a=3b-c

200

Compare f(2) to g(2) if: f(x) = 4x²-10

x  g(x)

1   4

2   6

3   8

f(x)=g(x)

6=6

300

What is the solution to the system of equations:

y=2x+1

2x+y=9

(2,5)

400

Simplify:

7x⁰

^and

(7x)⁰

7

and

1

500

Solve:

-3x²+5=-7

+/-2