Algebra Test 2-2

Multi-Step

100

6y - 3(y + 2) = 12

y=6

200

4x - 2(3x - 1) = 8 - 4x

x=3

300

5m - (2m + 8) = 2(m - 1)

m=6

400

7 - 3k = 15 - (4k + 2)

k=6

500

2(a - 4) - 3(2a + 1) = 5a +3

a=-2

Proportions

100

5/(x-3) = (2/x)

x= -2

200

(h+5)/4 = (h-2)/2

h=9

300

(2/3)w - 5 =7

w=18

400

(2y-3)/5 = (y+4)/3

y=29

500

1/2(4n - 6) = 1/3(9n + 12)

n= -7

Absolute Value

100

lxl = 12

x=12,-12

200

l3c - 6l = 15

c=-3,7

300

-3 lw + 4l = -21

w=-11,3

400

-4 l2n + 3l + 7 = -13

n=-4,1

500

ly - 4l + 10 = 4

no solution

Multi-Variable

100

Solve for r

C = 2(Pi)r

r=c/2pi

200

Solve for x

y = mx + b

x= (y-b)/m

300

solve for b

A = (1/2)bh

b= 2A / h

400

Solve for w

P = 2L + 2w

w= (p-2L)/2

500

Solve for P

A = P + Prt

P= A/1+rt

Word Problems

100

The larger of two numbers is 10 more than three times the smaller. If their sum is 54, find the smaller number.

11

200

Find three consecutive integers whose sum is 72.

23, 24, 25

300

The length of a rectangle is 4 inches more than twice its width. If the perimeter is 44 inches, find the width.

6

400

A theater sold 120 more adult tickets than student tickets. Altogether, they sod 460 tickets. How many student tickets did they sell? 

170

500

Find two consecutive even integers such that twice the larger added to three times the smaller equals 34. 

6 and 8