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Algebra 1

Algebra 1

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50 cards
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Section 1

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Variable

Front

1 / 50

AlgebraMath
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Last updated

6 years ago

Date created

Mar 1, 2020

Cards (50)

Section 1

(50 cards)

Variable

Front

A symbol used to represent a quantity that can change

Back

True or False: When multiplying or dividing both sides of an inequality by a negative number, you must flip the inequality symbol

Front

TRUE

Back

The domain of a relation

Front

is the possible input values, the x-values.

Back

When the inputs are all linked to a constant output, but each input is different, this function is called

Front

the constant function

Back

Coefficient and Exponent

Front

If you do not see a _______________ or an ______________ in an expression, the _______________ and the _______________ are both understood to be 1

Back

When you write the domain or range of a relation, be sure to:

Front

List the numbers separated by commas inside of braces. - Note: Duplicate numbers are listed only once. List the values from least to greatest.

Back

The range of a relation

Front

is the possible output values, the y-values.

Back

A relation -

Front

describes a relationship and pairs input values with output values.

Back

When the absolute value part of an equation is equal to a positive number, you will have

Front

Two Solutions

Back

The magnitude of a real number without regard to its sign. Shown in between bars like this: |x|

Front

Absolute Value

Back

When do you use a closed circle for graphing inequalities?

Front

When you need to express ≥ (greater than or equal to) or ≤ (less than or equal to), because the number is part of the solution.

Back

Is this expression an "and" or an "or" compound inequality? | 2x + 1 | ≤ 5

Front

The result of the expression 2x + 1 must be equal to any number between and include 5 and −5. This means you have an "and" compound inequality.

Back

The input values of a relation are called the ______________________ of the relation.

Front

Domain

Back

When the absolute value part of an equation is equal to a negative number, you will have

Front

No solution

Back

Consecutive integers

Front

first integer = x, second integer = x+1, third integer = x+2

Back

When __________________ or _________________ both sides of an inequality by a negative number, you must keep the inequality symbol

Front

Multiplying or Dividing

Back

The exponent is the small number to the right of the ___________ and tells you how many times the ____________ must be multiplied by itself.

Front

Base

Back

Is this relation a function? (6, −1), (4, 3), (0, −1), (−1, 5), (1, 0), (2, 4)

Front

This relation is a function because there are no repeating x-values.

Back

Some relations have a special relationship in that each input value is paired with exactly one (and only one) output value, like a vending machine should be. When this happens, the relation is called a _________________.

Front

Function

Back

7y^2, −2y^2

Front

Back

Constant

Front

Numbers that stand alone. They are called _______________s because they have a fixed value.

Back

Transitive Property of Equality

Front

If a = b, and b = c, then a = c

Back

Reflexive Property of Equality

Front

Everything on one side of the "=" sign must equal everything on the other side

Back

What do you do if the absolute value inequality contains a greater than symbol (≥, >)?

Front

1. Write two separate inequalities to solve. 2. Drop the absolute value bars. 3. Create a second inequality with the flipped inequality symbol, opposite value, and the word "or" in between.

Back

What do you do if the absolute value inequality contains a less than symbol (≤, <)?

Front

1. Write two separate inequalities to solve. 2. Drop the absolute value bars. 3. Create a second inequality with the flipped inequality symbol, opposite value, and the word "and" in between.

Back

TRUE or FALSE: It's okay to have repeating x-values in a function; the y-values are what determine whether a relation is a function or not.

Front

FALSE

Back

Associative Property of Addition or Multiplication

Front

In addition and multiplication you can group terms as you'd like and it won't change the product of the equation - it will remain equal. 1 + (2 + 3) = (1 + 2) + 3 1 • (2 • 3) = (1 • 2) • 3

Back

When the absolute value part of an equation is equal to zero, you will have

Front

One Solution

Back

In relations, the first value (____) tells you how many spaces to go right on a graph if positive and left if negative.

Front

X

Back

True or False: When multiplying or dividing both sides of an inequality by a negative number, you must keep the inequality symbol

Front

FALSE

Back

Is this expression an "and" or an "or" compound inequality? | 3x + 2 | ≥ 5

Front

The result of the expression 3x + 2 must have an absolute value greater than 5. This would include numbers less than −5 or greater than 5, and means you have an "or" compound inequality.

Back

When do you use an open circle for graphing inequalities?

Front

When you need to express > (greater than) or < (less than), because the number is not part of the solution.

Back

Symmetric Property of Equality

Front

This is where the expressions can change places on either side of the equals sign. One side is the same as the other - they are symmetrical. 3 = 2 + 1 so 1 + 2 = 3

Back

Coefficient

Front

The number in front of the variable in a term

Back

TRUE or FALSE: It's okay to have repeating y-values in a function; the x-values are what determine whether a relation is a function or not.

Front

TRUE

Back

What does the graph look like if the absolute value inequality contains a less than symbol (≤, <)?

Front

The graph is between two numbers.

Back

In relations, the second value (____) tells you how many spaces to go up on a graph if positive and down if negative.

Front

Y

Back

When multiplying or dividing both sides of an equality by a negative number you must...

Front

...Flip the inequality symbol

Back

Input and output values in (x, y) form are called _____________.

Front

Ordered Pairs

Back

A set of points that pairs input values with output values is called a(n) ________________________________.

Front

Relation

Back

Distributive Property

Front

2(3 + 4) = 2(3) + 2(4) 4(3 − 1) = 4(3) − 4(1)

Back

What does the graph look like if the absolute value inequality contains a greater than symbol (≥, >)?

Front

The graph has two parts in opposite directions

Back

Absolute Value Equation step ONE is to

Front

Isolate the Absolute Value

Back

To determine whether a relation is a function you look at the ______________ (__) values only.

Front

Input , ( X )

Back

Factors

Front

Numbers that are multiplied together to get a product.

Back

True or False: Always read an inequality starting with the variable.

Front

TRUE

Back

Commutative Property of Addition or Multiplication

Front

In addition and multiplication, numbers can move around or change order without interfering with the integrity of the equation.

Back

The output values of a relation are called the _____________________ of the relation.

Front

Range

Back

Graph: 4p + 1 > −7 or 6p + 3 < 33

Front

All Real Numbers

Back

Term

Front

Expressions are made up of terms separated by a plus or minus sign. Terms can contain variables, numbers, or products of variables and numbers.

Back