Expressions & Equations

Question 1

double distribution

Answer 1

distributing terms through two sets of parentheses

known as FOIL when used on two sets of binomials in parentheses

Question 2

Common difference

Answer 2

The difference between the terms in a sequence.

Question 3

Order of operations

Answer 3

PEMDAS: the set order in which multi-step equations must be solved: Parenthesis, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)

Question 4

Distributive property

Answer 4

a number in front of a group of terms will multiply all terms in the grouping individually

Question 5

factored

Answer 5

Separated into factors or divisors that, when multiplied together, yield the original number.

Question 6

Dissecting (math)

Answer 6

writing numbers or expressions in expanded form

Question 7

variable (math)

Answer 7

A letter or non-numeric symbol that represents an unknown value.

ex: In the expression 2x+4y−5, there are 2 variables: x and y.

Question 8

Multiplication property of equality

Answer 8

If the quantities on each side of an equal sign are both multiplied by the same amount, the resulting statement will still be equal.

if a=b, then ac=bc

Question 9

Addition property of equality

Answer 9

If the quantities on each side of an equal sign have the same amount added to them, the resulting statement will still be equal.

If a=b, then a+c=b+c

Question 10

Common ratio

Answer 10

The amount you multiply by to get from one term to the next in a sequence

Question 11

Like term

Answer 11

terms with the same variable and exponent combination

Example: 2x and 5x

Question 12

System of linear equations

Answer 12

A set of two or more equations with the same set of variables, or unknowns. The solution is the intersection of the lines.

Question 13

Linear relationship

Answer 13

a relationship with a constant rate of change that creates a straight line when graphed

y=mx+b

Question 14

shape pattern

Answer 14

A sequence composed of a repeating pattern of shapes

Question 15

Sequence

Answer 15

a list of numbers, shapes, symbols, or terms listed in a specific order; most follow a pattern

Question 16

function table

Answer 16

a table that describes a function by displaying inputs and corresponding outputs in a table format

Question 17

Inequality

Answer 17

A statement that 2 expressions are not equal.

Example: 5>4

Question 18

Term

Answer 18

Each part of an expression that is separated by a + or - sign.

Example: In the expression 7x+6y−5, there are 3 terms: 7x, 6y, and −5.

Question 19

Division property of equality

Answer 19

If the quantities on each side of an equal sign are both divided by the same amount, the resulting statement will still be equal.

If a=b and c≠0, then a÷c=b÷c

Question 20

Expression

Answer 20

Numbers, symbols, and operators grouped together to show the value of something. Note that it differs from an equation because there is no equal sign and therefore cannot be solved, only simplified.

Example: 3x−4y+6

Question 21

Geometric sequence

Answer 21

A sequence whose terms are generated by multiplying each term by the same common ratio.

Question 22

Linear expression

Answer 22

An expression that does not contain any exponents

Example: 2x+3

Question 23

Algebra

Answer 23

The branch of mathematics in which letters and symbols are used to represent unknown values.

Question 24

arithmetic sequence

Answer 24

A sequence that has the same common difference between terms.

Question 25

Equation

Answer 25

A statement that two expressions are equal. It has an equal sign and therefore can be solved.

Example: 2x+4=6

Question 26

Subtraction property of equality

Answer 26

If the quantities on each side of an equal sign have the same amount subtracted from them, the resulting statement will still be equal.

Example: If a=b, then a–c=b–c

Question 27

constant

Answer 27

a number without a variable; value does not change (stays constant)

Example: In the expression 2x+4y−5, the constant is −5

Question 28

Coefficient

Answer 28

A number that multiplies a variable.

Example: In the expression 3x+1, 3 is the coefficient of x

Question 29

Combine like terms

Answer 29

method of simplifying an algebraic expression by adding or subtracting the coefficients of like terms

Example: 2x+4x=6x

Question 30

Distribution (mathematics)

Answer 30

Use of the distributive property where a number in front of a group of terms will multiply all terms in the grouping individually.