Expressions and equations
7.EE.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Other Videos from Learn Zillion
- Factor linear expressions
- Simplify an expression by distributing a negative
- Simplify expressions using distribution and combining like terms
- Add linear expressions by combining like terms
- Simplify an expression with a fraction using the distributive property
- Factor an expression
- Expand linear expressions using the distributive property
- Simplify an expression with a fraction by adding or subtracting terms with fractions
- Expand linear expressions with fractions using the distributive property
VOcabulary terms |
coefficients
usually a number, but does not involve any variables
constant
terms without variables
division property of equality
dividing each side of the equation by the same number produces an equivalent equation
division property of inequality
If an inequality is divided on both sides by the same negative, the inequality symbol must be reversed to remain a true statement
exponents
a notation that implies the number of times the base is multiplied
expression
a mathematical statement that does not have an equal sign
equation
mathematical expression showing 2 expressions are equal
equivalent expression
two mathematical phrases (expressions) whose value are equal after substitution
estimation
approximate calculation
factors
1 or 2 numbers that when multiplied produce a given product
formula
general rule for finding the value of something, often using variables
greatest common factor (GCF)
the largest number that is a common divisor of a given set of numbers
inequalities
not equal
like terms
terms that have the same variable raised to the same exponent (even if the exponent is to the 0 power)
linear equation
algebraic statement in which 2 variables are of the first degree(raised to the first power)
When graphed it forms a straight line.
y= -x + 5
t = 4x + 3
(it forms a straight line) when there is an "x" & "y" balanced in an equation
mental computaion
solve the mathematical problem in your mind
monomial
a mathematical expression that has 1 term
origin
the center of a quadrant plane
(0,0)
where the "x" axis & "y" axis cross eachother
polynomial
mathematical expression consisting of a sum of terms which are constants and 1 or more variables
Pythagorean theorem
If the legs of a right triangle have lengths a and b and the hypotenuse has length c, then a^2 + b^2 = c^2
quadrant
the "x" & "y" axis divides a coordinate plane is 4 regions, each region is called a quadrant
rational
a real number that can be written as a fraction (denominator is not zero)
scientific notation
a method of writing 2 numbers as a product of 2 factors, one is a power of ten
simplest form
combine like terms and and constants,and clear parentheses
variable
letter used to represent a number in an equation
usually a number, but does not involve any variables
constant
terms without variables
division property of equality
dividing each side of the equation by the same number produces an equivalent equation
division property of inequality
If an inequality is divided on both sides by the same negative, the inequality symbol must be reversed to remain a true statement
exponents
a notation that implies the number of times the base is multiplied
expression
a mathematical statement that does not have an equal sign
equation
mathematical expression showing 2 expressions are equal
equivalent expression
two mathematical phrases (expressions) whose value are equal after substitution
estimation
approximate calculation
factors
1 or 2 numbers that when multiplied produce a given product
formula
general rule for finding the value of something, often using variables
greatest common factor (GCF)
the largest number that is a common divisor of a given set of numbers
inequalities
not equal
like terms
terms that have the same variable raised to the same exponent (even if the exponent is to the 0 power)
linear equation
algebraic statement in which 2 variables are of the first degree(raised to the first power)
When graphed it forms a straight line.
y= -x + 5
t = 4x + 3
(it forms a straight line) when there is an "x" & "y" balanced in an equation
mental computaion
solve the mathematical problem in your mind
monomial
a mathematical expression that has 1 term
origin
the center of a quadrant plane
(0,0)
where the "x" axis & "y" axis cross eachother
polynomial
mathematical expression consisting of a sum of terms which are constants and 1 or more variables
Pythagorean theorem
If the legs of a right triangle have lengths a and b and the hypotenuse has length c, then a^2 + b^2 = c^2
quadrant
the "x" & "y" axis divides a coordinate plane is 4 regions, each region is called a quadrant
rational
a real number that can be written as a fraction (denominator is not zero)
scientific notation
a method of writing 2 numbers as a product of 2 factors, one is a power of ten
simplest form
combine like terms and and constants,and clear parentheses
variable
letter used to represent a number in an equation
7.U.6 - Variable expressions: Add and subtract like terms
7.Y.1 - Properties: Properties of addition and multiplication
7.Y.2 - Properties: Distributive property
7.Y.3 - Properties: Simplify variable expressions using properties
7.Y.1 - Properties: Properties of addition and multiplication
7.Y.2 - Properties: Distributive property
7.Y.3 - Properties: Simplify variable expressions using properties