Simple Equations
Shapes and Equations
Variables on Both Sides
Solving Inequalities
Literal Equations
100

2x + 8 = 18

x = 5

100

Triangle ABC is an equilateral triangle that has a perimeter of 60 inches.  What is the length of each side of the triangle?

20 inches

100

4a - 7 = 2a + 9; solve for a

a = 8

100

2x > 10

x>5

100

2x + 4a = 10; solve for x

x = 5 - 2a

200

3x - 6 = -15

x = -3

200

A rectangle has a perimeter of 30 inches and the length is twice the width.  What is the measure of the width of the rectangle?

5 inches

200

2y + 5 = -y - 4; solve for y

y = -3

200

4z + 6 < 3z - 6

z < -12

200

ps = -12; solve for p

p = -12/s

300

1/2x - 10 = 0

x = 20

300

A rectangle has a perimeter of 30 inches and the length is twice the width.  What is the measure of the length of the rectangle?

10 inches

300

3m + 6 = -m - 6

m = -3

300

2t - 5 > t + 2

t > 2

300

y - 4t = 10; solve for t

t = (10 - y)/-4

400

-2x + 7 + 6x = 23

x = 4

400
Triangle PQR has PQ = PR and has a perimeter of 28 feet.  Side QR is 7 less than 5 times sides PQ.  What is the measure of side PQ?

5 feet

400

5d - 4 = 2d + 6; solve for d

d = 10/3

400

-4(3m - 1) > -2(m + 3)

m < 1

400

G = 3(t - s); solve for s

s = (G - 3t)/-3

500

1/4(8x + 12) - 5x = 18

x = -5

500

Triangle PQR has PQ = PR and has a perimeter of 28 feet.  Side QR is 7 less than 5 times sides PQ.  What is the measure of side QR?

18 feet

500

-7y + 3 = -(5y + 5) - 2; solve for y

y = 5

500

DAILY DOUBLE 

-4(3m -1) > 2(m + 3); solve for m

m < -1/7

500

Daily Double:

ay - b = 3d + 7b; solve for y

y = (3d + 8b)/a