Mathematical Expression - Correct Answer a collection of numbers and operations arranged in a
meaningful order
Algebraic Expression - Correct Answer a mathematical expression that contains one or more variables
- does not have to contain numerals
Expression - Correct Answer a combination of numbers, variables, and operations that does not contain
an equal sign or inequality sign
- Ex: 3x + 4y
Equation - Correct Answer a mathematical statement that says two expressions are equal
- Ex: 2x = 6 is true if x = 3
Inequality - Correct Answer a mathematical sentence that has two or more expressions separated by
- Ex: 4x -
- whenever you divide or multiply both sides by a negative number you need to flip the inequality
symbol
Variable - Correct Answer a symbol that represents unknown or changeable values; usually represented
by a lowercase letter, such as x or y
- Ex: In the equation 4x - 5y = 9, they are x and y
Pattern - Correct Answer a consistent or characteristic form, style, or method used to connect various
objects or ideas.
- Ex: Each number (2, 6, 18, 54, 162, ...) is 3 times the previous number (written as 3x)
Table - Correct Answer an organized display of data in rows and columns
, Coordinates - Correct Answer the x- and y-values that describe the location of a point in an xy-plane;
written as an ordered pair
- Ex: If a point is located at (4, -3) on the xy-plane, its x- is 4 and its y- is -3
Factor - Correct Answer a number or expression that can be multiplied by another number or
expression to create a certain product
- Ex: In the multiplication problem 8 x 3 = 24, 8 and 3 are these of 24
Term - Correct Answer part of an algebraic expression; separated by + or - signs or equality or inequality
sign; may include a number, a variable, or both; may have an exponent
- Ex: The expression 5x2 + 2x + 7 has three: 5x2, 2x, and 7
Coefficient - Correct Answer a number that multiplies a variable (the number in front of a variable)
- Ex: In the expression x2y2 + 4x + 6y + 10 = 0, they are 4 and 6
Constant - Correct Answer a value in an expression that does not change (doesn't have a variable)
- Ex: In the expression x2y2 + 4x + 6y + 10 = 0, they are 10 and 0
Linear Equation - Correct Answer any equation whose graph is a straight line; can be written in slope
intercept form (y = mx + b)
- Ex: There are no exponents with the variables in the equation y = 2x - 3, so it is linear (its graph is a
straight line)
How to solve linear equations - Correct Answer 1. Use the distributive property to get rid of any
parentheses (think PEMDAS)
2. Collect and combine like terms to put the equation in standard form
3. Perform inverse operations to isolate the variable
Distributive Property - Correct Answer the rule that if a, b, and c are numbers or expressions, then a (b +
c) = a b + a c
- Ex: according to this, 5(x + 2) = 5x + 10:
meaningful order
Algebraic Expression - Correct Answer a mathematical expression that contains one or more variables
- does not have to contain numerals
Expression - Correct Answer a combination of numbers, variables, and operations that does not contain
an equal sign or inequality sign
- Ex: 3x + 4y
Equation - Correct Answer a mathematical statement that says two expressions are equal
- Ex: 2x = 6 is true if x = 3
Inequality - Correct Answer a mathematical sentence that has two or more expressions separated by
- Ex: 4x -
- whenever you divide or multiply both sides by a negative number you need to flip the inequality
symbol
Variable - Correct Answer a symbol that represents unknown or changeable values; usually represented
by a lowercase letter, such as x or y
- Ex: In the equation 4x - 5y = 9, they are x and y
Pattern - Correct Answer a consistent or characteristic form, style, or method used to connect various
objects or ideas.
- Ex: Each number (2, 6, 18, 54, 162, ...) is 3 times the previous number (written as 3x)
Table - Correct Answer an organized display of data in rows and columns
, Coordinates - Correct Answer the x- and y-values that describe the location of a point in an xy-plane;
written as an ordered pair
- Ex: If a point is located at (4, -3) on the xy-plane, its x- is 4 and its y- is -3
Factor - Correct Answer a number or expression that can be multiplied by another number or
expression to create a certain product
- Ex: In the multiplication problem 8 x 3 = 24, 8 and 3 are these of 24
Term - Correct Answer part of an algebraic expression; separated by + or - signs or equality or inequality
sign; may include a number, a variable, or both; may have an exponent
- Ex: The expression 5x2 + 2x + 7 has three: 5x2, 2x, and 7
Coefficient - Correct Answer a number that multiplies a variable (the number in front of a variable)
- Ex: In the expression x2y2 + 4x + 6y + 10 = 0, they are 4 and 6
Constant - Correct Answer a value in an expression that does not change (doesn't have a variable)
- Ex: In the expression x2y2 + 4x + 6y + 10 = 0, they are 10 and 0
Linear Equation - Correct Answer any equation whose graph is a straight line; can be written in slope
intercept form (y = mx + b)
- Ex: There are no exponents with the variables in the equation y = 2x - 3, so it is linear (its graph is a
straight line)
How to solve linear equations - Correct Answer 1. Use the distributive property to get rid of any
parentheses (think PEMDAS)
2. Collect and combine like terms to put the equation in standard form
3. Perform inverse operations to isolate the variable
Distributive Property - Correct Answer the rule that if a, b, and c are numbers or expressions, then a (b +
c) = a b + a c
- Ex: according to this, 5(x + 2) = 5x + 10:
