Algebraic Expressions Unit Vocabulary

\frac{1}{3}\left(x+6\right)\ge\frac{1}{3}x+2is an example of an ______.

a number that does NOT change in value

The answer to a subtraction problem.

Distributive Property says a(b + c)= ab + ac OR a(b - c)= ab - ac. Ex: 6(x + 9) is the same as (x + 9)6; both = 6x + 54

The answer to an division problem.

If you SUBTRACT the same number from each side of an equation, the two sides remain equal.

Terms WITHOUT a variable.

A mathematical phrase that has at least has one variable and it can contain numbers and operation symbols.

A mathematical phrase that contains operations, numbers, and/or variables and NO EQUAL SIGN!

The LARGEST factor that two or more numbers or terms have that are the SAME.

a number or an expression that is a factor of two or more numbers or algebraic expressions.

We can think of a whole number as being "number/1", so the reciprocal is just like "flipping it over". (ex: 8 --> 1/8)

Select ALL the coefficients for this expression 2x-5-7x+4x^3-x.Remember KCC before you answer!

Which example is NOT an example of a linear expression?

operations that UNDO one another

True or False?: \left(-4x-\frac{2}{5}y\right)5=-20x+2y

If you DIVIDE each side of an equation by the same nonzero number, the two sides remain equal.

Select the correct property of equality to explain how you go from line 1 to line 2 in the picture below.

A mathematical sentence that contains an equals sign.

Terms that contain the same variables raised to the same power.

The answer to an multiplication problem.

The answer to an addition problem.

Select the correct property of equality to explain how you go from line 1 to line 2 in the picture below.

the number multiplied by the variable

All whole numbers (both positive and negative) and zero {...-2, -1, 0, 1, 2...}

The basic math operations are addition, subtraction, multiplication, and division.

An expression in which each term=either a variable or the product of constant & single variable raised to the 1st power

True or False?: -\frac{1}{3}\left(6x-3\right)=-2x+1

What is the GCF you would use to factor this expression 6x + 12y?

Select the constant for this expression 2x-5-7x+4x^3-x.

What is a common factor you could use to factor this expression 8x + 16y?

If you ADD the same number to each side of an equation, the two sides remain equal.

Terms WITH a variable.

Numbers that can be written as a fraction {ex: 5 --> 5/1, 0.25 --> 1/4}

Select the correct property of equality to explain how you go from line 1 to line 2 in the picture below.

\frac{1}{3}\left(x+6\right)=\frac{1}{3}x+2 is an example of an ______.

Select the variable for this expression 2x-5-7x+4x^3-x.

Using the GCF, completely factor this expression 15y + 45.

-\frac{1}{3}(x+6) is an example of an ______.

_________ means to rewrite the expression as a product of factors

Select the like terms for this expression 2x-5-7x+4x^3-x^2.

Select the correct property of equality to explain how you go from line 1 to line 2 in the picture below.

An algebraic expression is in simplest form when it has NO like terms and NO parentheses.

A letter or symbol that is used to represent an unknown quantity is a _______.

How many terms are there in this expression 2x-5-7x+4x^3-x?

To _______ an algebraic expression, replace each variable with a number, and then follow the order of operations.

If you MULTIPLY each side of an equation by the same nonzero number, the two sides remain equal.

A signed number, a variable, or constant multiplied by a variable or variables separated by plus or minus sign.

Any mathematical sentence that has an inequality symbol (<, >, ≤,≥, or ≠) that compares two quantities.