Lesson One

Question 1

Variable

Answer 1

is a symbol that stands for one or more numbers

Question 2

Algebraic Expression

Answer 2

is a mathematical phrase that used numbers, variables and operation symbols

Question 3

Simplify

Answer 3

to simplify a numerical expression, replace it with its simplest name

Question 4

Evaluate

Answer 4

To evaluate an algebraic expression, replace each variable with a number and then simplify

Question 5

Order of Operations

Answer 5

1. Work inside the grouping symbols
2. Multiply and divide in order from left to right
3. Add and subtract in order from left to right

Remember: Please Excuse My Dear Aunt Sally

Question 6

Opposites

Answer 6

Numbers that are the same distance from zero on a number line but in opposite directions

Question 7

Integer

Answer 7

The set of whole numbers and their opposites. Zero is its own opposite

Question 8

Absolute Value

Answer 8

a number’s distance from zero on the number line. (the absolute value of any number is positive)

Question 9

Adding Integers

Answer 9

Same Sign: the sum of two positive integers is positive. The sum of two negative integers is negative.

Different Sign: find the absolute value of each integer. Subtract the lesser absolute value from the greater. The sum has the sign of the integer with the greater absolute value

Question 10

Subtracting Integers

Answer 10

To subtract an integer, add its opposite

Question 11

Multiplying Two Integers

Answer 11

The product of two integers with the same sign is positive

The product of two integers with different signs is negative

Question 12

Inverse Operations

Answer 12

Are operations that undo each other. (Ex: multiplication and division are inverse operations)

Question 13

Dividing Two Integers

Answer 13

The quotient of two integers with the same sign is positive

The quotient of two integers with different signs is negative

Question 14

Commutative Properties of Addition and Multiplication

Answer 14

You can add or multiply two numbers in any order and get the same result.
Ex: 7 + 2 = 2 + 7 or 7 x 12 = 12 x 7

Question 15

Associative Properties of Addition and Multiplication

Answer 15

You can add or multiply groups of the same numbers in any grouping and get the same result.
Ex: (4 + 7) + 3 = 4 + (7 + 3) or (4 x 7) x 3 = 4 x (7 x 3)

Question 16

Identity Properties

Answer 16

Adding 0 and multiplying by 1 do not change the value of a number.
Ex: 6 + 0 = 6 or 6 x 1 = 6

Question 17

Distributive Property

Answer 17

Distributive Property states that the product of a number and a sum is equal to the sum of the individual products of the addends and the number.
Ex: 3(2 + 7) = 3 x 2 + 3 x 7 or 5(8 - 2) = 5 x 8 - 5 x 2

Question 18

Equation

Answer 18

a mathematical sentence with an equal sign

Question 19

Addition Property of Equality

Answer 19

If you add the same number to each side of an equation, the two sides remain equal.
Ex: 10 = 5(2), so 10 + 3 = 5(2) + 3

Question 20

Subtraction Property of Equality

Answer 20

If you subtract the same number from each side of an equation, the two sides remain equal.
Ex: 10 = 5(2), so 10 - 3 = 5(2) - 3

Question 21

Solution

Answer 21

A solution to an equation is any value that makes the equation true.

Question 22

Isolate

Answer 22

To find a solution, isolate the variable, or get it alone on one side of the equal sign. Use inverse operations, which are operations that undo each other

Question 23

Multiplication Property of Equality

Answer 23

If you multiply each side of an equation by the same number, the two sides remain equal.
Ex: 20 = 40/2, so 2(20) = 2(40/2) or
without numbers If a = b then ac = bc

Question 24

Division Property of Equality

Answer 24

If you divide each side of an equation by the same nonzero number, the two sides remain equal.
Ex: 30 = 3(10) so 30/6 = 3(10)/6 or
without numbers if a = b, and c is not zero, then
a/c = b/c