1st Quarter Review

1st Quarter Review

Real Numbers and its Subsets

• All numbers are real numbers

• Numbers are either rational or irrational

• Irrational numbers are non-repeating, non-terminating decimals, pi, and square roots of non-perfect squares

• Rational numbers can be written as fractions, positive or negative, terminating or repeating decimals

• Integers are positive and negative whole numbers (and zero)

• Whole numbers are zero and all natural numbers

Multiple Choice

What is true about irrational numbers?

• They are terminating decimals.
• They are non-repeating decimals.
• They are fractions.
• They are natural numbers.

Multiple Choice

Based on the chart, how many subsets are within the integers set?

• 1
• 2
• 3
• none

Multiple Select

Check all the numbers that are rational.

• $\sqrt{36}$

• $-\frac{3}{8}$

• $4\pi$

• $-200$

Multiple Choice

Classify the following:
 -78

• integer
• integer, real
• integer, whole, rational
• integer, rational, real

Multiple Choice

What type if number is  $\sqrt{2}$  ?

• Integer

• Rational Number

• Irrational Number

• Whole Number

Perfect Squares & Square Roots

You can estimate square roots of non-perfect squares by identifying which two numbers they fall between.

Example:

 $\sqrt{30\ }$  is between  $\sqrt{25}$  and  $\sqrt{36}$  so $\sqrt{30}$ would be between 5 and 6.

Multiple Choice

Between which two square roots does the √51 fall?

• √16 and √25

• √25 and √36

• √36 and √49

• √49 and √64

Multiple Choice

What two numbers is the  $\sqrt{24}$  between?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

Multiple Choice

What two numbers is the  $\sqrt{37}$  between?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

Ordering Real Numbers

Ascending - from least to greatest (going up).

Descending - from greatest to least (going down).

Be careful with negative numbers! Think of a number line.

Multiple Choice

Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]

• ^{-2, 3, -4, 5, -6, 7, -8}
• ^{-2, -4, -6, -8, 3, 5, 7}
• ^{-6, -8, -4, -2, 7, 5, 3}
• ^{-8, -6, -4, -2, 3, 5, 7}

Multiple Choice

 $-\frac{13}{4}$  is ______________  $-\sqrt{9}$  

• greater than

• less than

• equivalent to

Multiple Choice

Put the following in order LEAST to GREATEST:
54%, 2/5, .45

• 2/5, .45, 54%
• 54%, 2/5, .45
• 54%, .45, 2/5
• .45, 2/5, 54%

Multiple Choice

Order the numbers from least to greatest:
 $-1.2,\ 2\ \frac{1}{5},\ \frac{5}{2},\ -\frac{3}{2}$  

• $-\frac{3}{2},\ -1.2,\ 2\frac{1}{5},\ \frac{5}{2}$

• $-1.2,\ -\frac{3}{2},\ \ 2\frac{1}{5},\ \frac{5}{2}$

• $\frac{5}{2},\ 2\frac{1}{5},\ -1.2,\ -\frac{3}{2}\$

Combining Like Terms

Like terms have the same variable, raised to the same power.

** be very careful with your signs **

Distributive Property

Distributing (or sharing) the number outside parentheses to everything inside parentheses

Again, be very careful with your signs!

Multiple Choice

Which of the following are like terms?

• 3x, 5

• 3x, 5x

• 3x, 5y

• 3, 5x

Multiple Choice

Simplify the Expression. 
9z  - 21 - 3z + 10

• Simplified
• 9z - 21 - 7
• 9z - 11 -3z
• 6z - 11

Multiple Choice

4(x+3) - 5

• 4x + 7

• 4x - 2

• 4x - 17

• 4x + 2

Multiple Choice

Simplify the expression: 7+3(1 - 2x) 

• 21 - 6x
• 10 - 2x
• 10 - 20x
• 10 - 6x