Algebra Review

Functions

100

Do these ordered pairs make a relation or a function?

(1,3)

(3,7)

(4,9)

Function

200

What does 3x +1 represent in this function, input or output?

f(x) = 3x + 1

Output

300

Evaluate the function at f(2)

f(x) = 3x + 1

7

400

What are the coordinate points for the function values?

f(-3) = 0                 f(-1) = -2

(-3,0) and (-1,-2)

500

Find the slope of the graph for the following function:

f(3) = -1              f(-8) = -6

5/11

Lines

100

What is the slope of the following line?

y = 2x+5

2

200

What is the y-intercept of the line?

y - 5 = 2x +3

8

300

What is the y-intercept of the line?

-3x +2y = 8

4

400

What is the x-intercept of the line?

2x - 3y = 12

6

500

What is the y- intercept of the line?

y - 4 = -3(x - 2)

10

Systems

100

Solve the system of equations:

y = -2

4x - 3y = 18

(3,-2)

200

Solve the system of equations:

y = -3x+5

5x - 4y = -3

(1,2)

300

Solve the system of equations:

4x + 8y = 20

-4x + 2y = -30

(7,-1)

400

Solve the system of equations:

-7x - 2y = -13

x - 2y = 11

(3,-4)

500

Solve the system of equations:

8x + 14y = 4

-6x - 7y = -10

(4,-2)

FOIL

100

(x+3)(x-2)

x²+x-6

200

(x-8)(2x+1)

2x²-15x-8

300

(x²+5)(x²+9)

x⁴+14x²+45

400

(2x²-7)(x+9)

2x³+11x-63

500

(-3x³+2)(8x³-5)

-24x⁶+31x³-10

24x⁶-31x³+10

Factoring

100

n²-11n+10

(n-10)(n-1)

(n-1)(n-10)

200

b²+16b+64

(b+8)(b+8)

(b+8)²

300

x²-121

(x+11)(x-11)

400

2x²+6x-108

2(x+9)(x-6)

500

2x²+3x-9

(2x-3)(x+3)