Benchmark Review Alg 1 Part 2

Laws of Eponents

100

Are these equivalent?

3x⁴y² and (x²y)(3x²y)

yes these are equivalent

200

Simplify:

(2x²-4x)/2x

x-2

300

Simplify: (3x²y³)⁰

1

400

Simplify: (12x^-5)/(4x³y²)

3/x⁸y²

500

Simplify: (-3x²)²

9x⁴

Polynomials

100

Simplify: (3x²+6)+(2x+4)

3x²+2x+10

200

Simplify: (12x³+7x-8)-(4x³+5+2x)

8x³+5x-13

300

Simplify: (x-2)(x-3)

x²-5x+6

400

Simplify: (n²+4n-12)/(n-2)

n+6

500

Simplify: (2x-3)(x²+2x-4)

2x³+x²-14x+12

Factoring

100

Factor:

2x³+4x²-12x

2x(x²+2x-6)

200

Factor:

x²+2x-8

(x-2)(x+4)

300

Factor:

2x²+3x+1

(2x+1)(x+1)

400

Factor:

3x²-9x-120

3(x-8)(x+5)

500

Factor:

81x²-25

(9x-5)(9x+5)

Functions

100

Which function has exactly two zeros?

A. 2x+7

B. (x+4)²

C. 4x²-100

C. 4x²-100

200

What is the y-intercept of y=1/2x-8?

b=-8

300

What is the range of x²+6x+5?

y>=-4

400

What is the solution set of (x-3)(2x-1)=0

{1/2,3}

500

Identify the equation with a solution set of {-2,6}.

A. (x-2)(x+6)=0

B. x²-12x-4

C. (x+2)(x-6)=0

C. (x+2)(x-6)=0

Literal Equations

100

Solve for l:

A=lw

l=A/w

200

Solve for t:

I=prt

t=I/pr

300

Solve for c:

m=c-s

c=m+s

400

Solve for h:

V=1/3Bh

h=3V/B

500

Solve for x:

y=mx+b

x=(y-b)/m