Algebra Final Review

Factoring

100

Factor x²+6x+5

(x+5)(x+1)

200

Factor x²+8x+15

(x+3)(x+5)

300

Factor x²-25

(x+5)(x-5)

400

Factor x²-3x-18

(x-6)(x+3)

500

Factor 16x²-49

(4x-7)(4x+7)

Degrees

100

What degree is 3x⁵

5

200

What degree is 4x⁴y³

7

300

What degree is 2x²+6x³-4x+7

3

400

What degree is 8?

0

500

What degree is 4x?

1

Systems

100

What is a systems of equations?

two or more equations at the same time.

200

Is (3,5) a solution to the system:

2x-2y=6

4x-5y=3

No

300

If two lines are parallel, what is their solution?

None

400

Solve:

3x+2y=10

4x-2y=-4

x=2

500

Solve:

y=2x-9

y=-x+3

(4,-1)

Exponents and Square Roots

100

What is the square root of 49?

+/-7

200

What is the square root of 32? Leave a radical in your answer.

4 square root 2

300

SImplify (4xy)(6x²-3)

24x³y-12xy

400

Simplify 5x^-3

5/x³

500

Simplify 6/x^-4

6x⁴

Parabolas

100

Does -x²-5x open up or down?

down

200

Is 5x² wider or skinnier than x²

skinnier

300

Find the axis of symmetry of y=x²+8x+15

x=4

400

Find the vertex of: y=x²-7x+12

(5,-9)

500

How many solutions does y=x²-5x+17 have

None