Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Expressions

100

Simplify. 8b + 3b

11b

200

Simplify. 19x - 24x

-5x

300

Simplify. 3 + 5(a + 4)

5a + 23

400

Simplify. - (2b - 4)

-2b + 4

500

Simplify. 7(t + 8.5) - 5t + 4

2t + 63.5

Equation Grab Bag

100

x² - 3 = 6

x = 3, -3

200

2x² + 10 = 42

x = 4, -4

300

2x + 3 = 5x - 9

x = 4

400

2 - (4x + 5) = 5x - 21

x = 2

500

7k - 8 + 2(k + 12) = 52

k = 4

Rational or Irrational?

100

True or False?

Rational Numbers are terminating or repeating numbers that can be written as ratios. 

True

200

Is this number rational or irrational? Why?

pi

pi is irrational because the digits continue infinitely - it is non-repeating and non-terminating.

300

Is this expression rational or irrational?

square root of 25 plus the square root of 49

(use your calculator)

Rational because the answer is a whole number

5 + 6 = 11

400

Is this number rational or irrational?

1/3

Rational - it is a repeating decimal

500

Is this number rational or irrational?

the square root of 6

Irrational - it is non-terminating and non-repeating