Benchmark Review (Algebra)

Multi-Step Equations

100

-5(x-2)-(x+2)=50

x = -7

200

3w-(7w+12)=2(w-3)

w = -1

300

9(n-4)-7n=32-2(n+8)

n=13

400

8-3(k+2)=2-3k

k is infinite 

500

-7(a-3)=11-7a

no solution

Proportions

100

2/9 = 4/x+8

x=10

200

5/y-7=3/y-5

y=2

300

6/2n-5=2/n-7

n=16

400

2/3u+7=3/4u+9

u= -3

500

6/a-6=3/a-3

a=0

Absolute Value

100

lx+1l=6

x={-7,5}

200

l6c-18l=30

c= {-2,8}

300

5l4x-4l-9=31

x = {1,3}

400

l7x+7l is less than 35

-6 is less than x is less than 4

500

l2x+8l is greater than or equal to 6

x is less than or equal to -7 OR x is greater than or equal to -1

Multi-step Inequalities

100

x+5x-6 is less than 12

(-infinity,3)

200

2(x+1) is less than or equal to -13-3x

(-infinity, -3]

300

5x+24 is greater than 2(x-9)-3x

(-7, infinity)

400

2(x+3) is greater than or equal to 4(x-1)

(- infinity, 5]

500

-9(x-5)+9 is less than 3x+42

(1, infinity)

Compound Inequalities

100

-2x-1 is less than -17 OR 1-x is greater than 4

(-infinity, -3] OR (8, infinity)

200

-4x-11 is greater than 5 OR 8x-7 is greater than 9

(-infinity,-4) OR (2, infinity)

300

-31 is less than 9x + 5 is less than 32

(-4,3)

400

5x+2 is greater than or equal to 37 OR -7-x is greater than -2

(-infinity,-5) or [7, infinity)

500

-24 is less than or equal to 2x-10 is less than -6

[-7,2)