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Solving by Combining Like Terms
Solving by Using the Distributive Property
Expressions
Grab Bag
Rational/Irrational
100
5h + 2 + 2h = 23
h = 3
100
2(x + 5) = 14
x = 2
100
Simplify. 8b + 3b
11b
100

Which property is this?

a + (b + c) = (a + b) + c

Associative property of addition

100

Is this number rational or irrational? Why?

10

Rational because it is a whole number and all whole numbers are rational.

200
3b + b - 8 = 4
b = 3
200
5(d - 2) = 40
d = 10
200
Simplify. 19x - 24x
-5x
200

What property is this?

a + b = b + a

Commutative property of addition

200

Is this number rational or irrational?

2/5

Rational because it is a fraction with a numerator and denominator that are integers.

300
3a + 12 - 6a = -9
a = 7
300
7(4 - t) = -84
t = 16
300
Simplify. 3 + 5(a + 4)
5a + 23
300
4(y - 2) + y = -13
y = -1
300

Show an example of an irrational number and explain why.

non-repeating and non-terminating

400
-6 = -3y + 4 + 5y
y = -5
400
-2(x - 9) = -24
x = 21
400
Simplify. - (2b - 4)
-2b + 4
400

Solve.

5x + 2 = 3x + 10

x = 4

400

Rational or Irrational?

2.56

Rational because the decimal is terminating.

500
78 = 3c + 12 - c + 4
c = 31
500
-13(4 + 2a) = 208
a = -10
500
Simplify. 7(t + 8.5) - 5t + 4
2t + 63.5
500

8 - 2(k + 12) = 52

k = -34

500

Rational or Irrational?

4.3333333333....

Rational because it is a repeating decimal.