Pairs of numbers that have a sum of zero.

The distance of a number from zero on a number line.

The order of numbers does not matter when adding. The sum will be the same.

The grouping of numbers does not matter when adding. The sum will be the same.

Numbers can be multiplied in any order and the product will be the same.

Numbers that either positive or negative.

Numbers can be grouped in different ways and the product will be the same.

Pairs of numbers that are the same sign combine to make a

Pairs of numbers that are the opposite signs combine to make a

A number that can be made from dividing one integer by another.

The result of adding all of the numbers, then dividing by the amount of numbers.

Division by zero is

A single negative sign in a rational number can be placed in front of the fraction, with only the numerator, or with only the denominator. For example, -(20/5) = -20/5, = 20/-5

The reciprocal of a rational number.

A number related to another that their product is one.

The commutative property of multiplication can be used to change the order of numbers being multiplied together to make the calculations easier. Example: (−8.5)(5)(−4) = (−8.5)(−4)(5) = (34)(5) = 170.

The associative property of multiplication can be used to group numbers together to make the calculations easier.

Example: (−8.5)(5)(−4) = (−8.5)(−20) = 170 .

The multiplicative inverse property can be used to rewrite division of a fraction as multiplication of its reciprocal.

Every rational number has a multiplicative inverse.

The product of a rational number and its multiplicative inverse is

A decimal that has numbers that do not go on forever.

A decimal that has a pattern of one or more digits that repeat.

A step-by-step process used for calculations.

Rational numbers can be represented using fractions or decimals.

Terms that have the same variable with equal powers such as 3y and 4y.

The number part of a term with variables (ex. 3y has a coefficient of 3).

Term in an algebraic expression that contains only numbers (ex. In the expression 5y + 6, 6 is a constant).

Taking a number or expression apart and writing it as a product of two or more factors.

Same measure; the sides of a square are congruent because they are all the same length.

Variable expressions can be combined using addition or subtraction by combining the like terms.

A number including a base and an exponent.

The number that is multiplied by itself when written in exponential form.

A number that is written above and to the right of a base to indicate how many times to multiply the base by itself.

The rules of which calculation comes first when evaluating an expression.

There are various ways to read and write exponential expressions. Select all that apply given:

A mathematical expression in which mathematical operations are written using words; also called a mathematical phrase; an example is the product of three and a number.

An expression that contains numbers, variables, and mathematical operations like addition, subtraction, etc. An example is x + 2.

A letter that holds the place for some unknown value in an algebraic expression, such as x or y.

Select the operation that matches the action phrases:

Added to

More than

Increased by

Plus

Sum

Total

Select the operation that matches the action phrases:

Minus

Less than

Subtracted from

Difference between

Decreased by

Take away

Fewer than

Select the operation that matches the action phrases:

Doubled

Product

Twice

Times

Per

Multiplied by

Tripled

Select the operation that matches the action phrases:

Half

Ratio

Quotient

Divided by

You can represent multiplication using (select all that apply):

See how the expression can be broken into different parts. 

See how the expression can be broken into different parts. 

See how the expression can be broken into different parts. 

See how the expression can be broken into different parts. 

See how the expression can be broken into different parts. 

In algebraic expressions, you can substitute the variable if you know its value and then simplify it by following the order of operations.

The word substitution basically means replacing something with something else.

The smallest whole number that is divisible by both denominators.

Different number forms often make calculations and comparisons easier.

When comparing fractions, if the denominators are the same, it is simple to compare the numerators. If the denominators are different, it may be easier to compare the decimal or percent equivalents.

When multiplying numbers, it may be easier to use fractions if the product simplifies to a whole number.

An operation that reverses the effect of another operation; for example, adding three and subtracting three are inverse operations.

Some action phrases that indicate the equal sign include the following (select all that apply):

Strategies that can be used to solve an equation include the following:

To solve an equation, you must isolate the variable on one side of the equal sign by using inverse operations.

Remember, what you do to one side you must also do to the other side to keep the equation balanced.

The inverse operation of division is:

The inverse operation of addition is:

To solve a two-step equation, perform inverse operations in reverse order.

Inequalities are solved with the same steps as solving equations.

When multiplying or dividing by a negative number in an inequality, remember to reverse the direction of the inequality symbol.

When interpreting the solution to an inequality in the context of the problem, think about what the problem is saying and consider the reasonableness of your answer.

When graphing an inequality, use a _________ dot for the symbols ≤ and ≥.

When graphing an inequality, use a _________ dot for the symbols < and >.

A comparison between two amounts, sometimes using division; it can take the form of a:b, a/b, or a to b.

The numbers in a ratio that show the comparison.

Comparing one amount of something to another amount of something different.

Comparing one amount of something to the total amount of things available.

Ratio or fraction has been reduced to its smallest values for the numerator and denominator.

A ratio where two measurements are related to each other.

A rate expressed such that it reveals how much of the first quantity there is for just one unit of another, such as 2 feet per second or $6 per hour.

Ratios that have the same simplest form or express the same relationship between two quantities.

A part-to-whole ratio that compares a number to 100; percentages are written with the percent symbol (%).

When you have a table, you can determine which quantities will be represented by the x-coordinates and which ones will be represented by the y-coordinates.

When plotting points in the coordinate plane, it is always important to make sure the axes are labeled and there is a title for the graph that matches the real-world situation.

Unit rates can be helpful with (select all that apply):

A ratio with a denominator of 1; the word unit means 1; the word "per" means for one unit; examples: miles per gallon, days per year.

A fraction that contains a fraction in the numerator, the denominator, or in both.

A relationship where the ratio between any two quantities is always the same.

A graph of a proportional relationship has three important characteristics:

Unit rate; in the equation y = kx, k represents this:

When solving ratio problems (select all that apply):

 $\left|\frac{actual\ -\ observed}{actual}\right|\left(100\right)$  

 $\left|\frac{original\ -\ new}{original}\right|\left(100\right)$  

Which unit rate is equivalent to 17 miles per gallon?