Review for Unit 2 Test

Directions: Show your work for each slide on the next 2-3 blank pages of your INB. Write the

title above on each page you use in your INB.

Linear Equations

12n + 3(8 - 7n) = −6(n − 5) + 3

*When you have solved for n, turn to the next slide to see each step and the final answer.

*(Solution to previous slide’s linear equation.)

12n + 24 - 21n = -6n + 30 + 3

-9n + 24 = -6n + 33

-9n + 6n + 24 = -6n + 6n + 33

-3n + 24 - 24 = 33 – 24

-3n = 9

-3n ÷ -3 = 9 ÷ -3

n = -3

The Real Number SystemWrite the definitions below; then turn to the next slide to check your answers.

A rational number is _____________________________________.

An irrational number is _____________________________________.

The Real Number System*(Answers for previous slide)

• A rational number is a real number that can be made into a fraction, or as a ratio with two integers.

(Some examples are fractions, perfect roots, terminating decimals, repeating fractions, natural numbers, and whole numbers.

• An irrational number is a real number that cannot be made into a fraction or a ratio.

Some examples are non-perfect roots, non-terminating decimals, and non-repeating decimals.

Sort these numbers into the correct categories.

Rational Numbers Irrational Numbers

3√27 𝜋83

.59595959… .45612

…

5,489

(Answers to previous slide)

Rational Numbers Irrational Numbers

3√27 𝜋83

.59595959…

.45612…

5,489

Approximating/Estimating Radicals

√92

Approximating/Estimating Radicals(Answer for previous slide)

9 10 .6

9.6

Change Repeating Decimals to Fractions

(1) .4 (2) .67(3) 2.94

Change Repeating Decimals to Fractions

(1) .4 (2) .67 = (3) 2.94 = 2

x = .4

10x = 4.4

- x -.4

=

x =

Simplify these non-perfect square roots.

(1) (2)

Simplify these non-perfect square roots.(Answers to previous slide.)

(1) = x = 5

(2) = x = 2

Powers and ExponentsSimplify.

** (3) (5

(2) ** (4)

Powers and Exponents(Answers to the previous page)

Simplify.

** = (3) (5==

125

(2) **= (4) =

Scientific NotationMultiply or Divide. Write the answers in Scientific Notation.

(1) (2) (12 x )(12 x )

Scientific NotationMultiply or Divide. Write the answers in Scientific Notation.

(1) = = 2 x

(2) (12 x )(12 x )=144 x =1.44 x