Review for Unit 2 Quiz 1

Combine like terms. SHOW EACH STEP!

(a) (8x – 4)7 + 2 (b) 8z + 9(3z -2)

Linear expressions

Combine like terms. SHOW EACH STEP!

(a) (8x – 4)7 + 2 (b) 8z + 9(3z -2)

56x – 28 + 2 8z + 27z – 18

56x – 2635z - 18

Linear expressionsAnswers for previous slide

Solve for x. SHOW EACH STEP!

5x – 10 + x + 13 = -3

Linear equations

Solve for x. SHOW EACH STEP!

5x – 10 + x + 13 = -3

6x – 10 + 13 = -3

6x + 3 = -3

6x + 3 – 3 = -3 -3

6x = -6

6 6

x = - 1

Linear equationsAnswers for previous slide

Approximate the non-perfect square roots below to the nearest tenth.

Approximating radicals

Approximate the non-perfect square roots below to the nearest tenth.

7 84 5

.93 .6

7.9 4.7

Approximating radicalsAnswers for previous slide

Simplify the radical below. (1) (2)

Simplifying radicals

Simplify the radical below. (1) = x = 4

(2) = x = 3

Simplifying radicalsAnswers for previous slide

Change the repeating decimals to fractions.

(a) .5 (b) .24 (c) 2.7

Changing repeating decimalsTo fractions

Change the repeating decimals to fractions.

(a) .5 (b) .24 (c) 2.7

x = .5 x=.24 x= .7

10x= 5.5 100x=24.24 10x = 7.7

- x = - .5 -x= .5 -x = - .7

9x = 5 99x = 24 9x = 2

9 9 99 99 9

Changing repeating decimalsTo fractions

Answers for previous slide

A rational number is _______________________________________________________________________.

Give 2 examples.

An irrational number is _______________________________________________________________________.

Give 2 examples.

The real number system

A rational number is a real number that can be written as a ratio of 2 integers or as a fraction.

Give 2 examples. (any: terminating decimals, repeating decimals, fractions, whole numbers, natural numbers, integers, perfect square roots, perfect cube roots)

An irrational number is a real number that can NOT be written as a ratio of 2 integers or as a fraction.

Give 2 examples.(any: non-terminating decimals, non-repeating decimals, non-fractions, non-perfect square roots, non-perfect cube roots)

The real number systemAnswers for previous slide