Equations

Variables on Both Sides

100

Solve.  5y – 8 = 3y + 12

y = 10

200

Solve.   5x + 2 = 2x – 10

x = –4

300

Solve.   –11 – 3y = 8y + 1

y = –12/11

400

Solve.  5x – 2x = 3x + 2

no solution

500

Solve.   4(2x – 1) = –10(x – 5)

x = 3

Multi-Step Equations

100

Solve.   5x + 16 = 51

x = 7

200

Solve.   y/3 + 2 = –12

y = –42

300

Solve.   8 + (3n)/12 = 13

n = 20

400

Solve.   8 = –12 + k/–4

k = –80

500

Solve.   (4x + 8)/–2 = 10

x = –7

Literal Equations

100

Solve for b.    a + b + d = c

b = c – d – a

200

Solve for s.   (s – t)/p = q

s = pq + t

300

Solve for y.   5x – 2y = –33

y = (33 + 5x)/2

400

Solve for x.   6y + 3x – 2z = 1

x = (1 + 2z – 6y)/3

500

Solve for x.   (rx + 9)/5 = h

x = (5h – 9)/r

Proportions

100

6/9 = 8/c

c = 12

200

y/3 = 48/9

y = 16

300

2/y = 10/60

y = 12

400

(r + 2)/7 = 5/7

r = 3

500

3/12 = 2/(x + 6)

x = 2

Consecutive Integers

100

Find two consecutive integers whose sum is 19.

9 & 10

200

Find two consecutive numbers whose sum is 100.

49.5 + 50.5

300

Find three consecutive integers whose sum is 60.

19, 20, 21.

400

Find three consecutive even integers whose sum is 132.

42, 44, 46

500

Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers?

–8 & –6