Algebra Regents Review

Find the GCF

100

Find the GCF of 24 and 16

GCF is 8

200

Find the GCF of 121, 11

GCF is, 11

300

What does GCF stand for?

Greatest Common Factor

400

Find the GCF of x² and 2x

GCF is x

500

Find the GCF of 2x³+4x²+6x

GCF is 2x

Find the value ...

100

If, f(x) = 2x, find f(2)

f(2) = 4

200

Find the value of f(-2) for f(x) = x²-2x+6

f(-2) = 14

300

Find the vertex of f(x) = x²-2x+4

Vertex: (1,3)

400

Find the AOS for f(x) = x²

AOS: x = 0

500

Find the Solution (use a matrix)

5x + 2y = 35

2x + 2y = 20

x = 5

y = 5

Factor

100

Factor 2x-2

2(x-1)

200

Factor x²-100

(x-10)(x+10)

300

There are three ways to factor, name 2

DOTS, AM (Trinomial), GCF

400

Factor (x²-10x+16)

(x-8)(x-2)

500

Factor Completely: (4x²-100)

GCF, then DOTS: 

4(x²-25)

4(x-5)(x+5)

Word Problems

100

Write an expression that represents the following: 5 more than a number is 10

5 + x =10

200

Write an expression that represents the following: Twice a number is 50

2x = 50

300

Write an expression that represents the following: Twice the difference of a number and 10 is 35.

2(x - 10) = 35

400

Trees cost $45, and bushes cost $25. If you have $200 to spend, using x as trees and y as bushes, write an expression to represent this.

45x + 25y <= 200

500

The product of a number and 5, increased by 10 is 25. What is that number?

5x + 10 = 25

x = 3

Miscellaneous

100

Vertex means the same as what other math vocabulary term?

Turning Point

200

If (3,4) is my turning point, what is the AOS?

x = 3

300

x = 5 would be what type of line

Vertical

400

The zeros of a quadratic are when 

The graph touches the x-axis (y-values are 0)

500

Which values can't repeat in order for a function to exist?

The x values must be unique!