#### Study sets matching "algebra solving equations"

#### Study sets matching "algebra solving equations"

Additive Identity

Multiplicative Identity

Equivalent Numerical Expressions

Equivalent Variable Expressions

the sum of any number and zero is equal to the number

the product of any number and one is equal to the number

Expressions using only numbers that have the same solution

Expressions using variables that have the same solution

Additive Identity

the sum of any number and zero is equal to the number

Multiplicative Identity

the product of any number and one is equal to the number

Equivalent equations

Addition property of equality

Subtraction property of equality

Isolate

Equations that have the same solution.

Adding the same number to each side of an equation produces a…

Subtracting the same number from each side of an equation pro…

Using properties of equality and inverse operations to get a…

Equivalent equations

Equations that have the same solution.

Addition property of equality

Adding the same number to each side of an equation produces a…

Equation

Variable

Solution

Operation

A mathematical sentence that has an equal sign.

A letter used to represent one or more numbers,

A value or values we can put in place of a variable (such as…

A mathematical process. The most popular are add, subtract, m…

Equation

A mathematical sentence that has an equal sign.

Variable

A letter used to represent one or more numbers,

Equivalent Equations

Addition Property of Equality

Subtraction Property of Equality

Isolate

Equations that have the same solution

The property that states that if you add the same number to b…

The property that states that if you subtract the same number…

Using properties of equality and inverse operations to get a…

Equivalent Equations

Equations that have the same solution

Addition Property of Equality

The property that states that if you add the same number to b…

solve an equation

equivalent equations

linear equation

linear equation with two variables

find values that satisfy the equation

two equations that have the same solutions

one or more variables in which each term in the equation is e…

solved by an ordered pair; (x,y)

solve an equation

find values that satisfy the equation

equivalent equations

two equations that have the same solutions

deductive reasoning

variable

expression

equation

reasoning by making logical steps to arrive at a conclusion

a symbol representing an unknown quantity

a math representation with numbers or variables using add, su…

a math representation with two expressions that are equal to…

deductive reasoning

reasoning by making logical steps to arrive at a conclusion

variable

a symbol representing an unknown quantity

Addition Property of Equality

Additive Inverse Property

Additive Identity Property

Multiplication Property of Equality

You can add/subtract the same number to both sides of the equ…

opposites add to be zero

the sum of any number and zero is that number

You can multiply/divide the same number to both sides of the…

Addition Property of Equality

You can add/subtract the same number to both sides of the equ…

Additive Inverse Property

opposites add to be zero

Addition Property of Equality

Additive Inverse Property

Additive Identity Property

Multiplication Property of Equality

You can add/subtract the same number to both sides of the equ…

opposites add to be zero

the sum of any number and zero is that number

You can multiply/divide the same number to both sides of the…

Addition Property of Equality

You can add/subtract the same number to both sides of the equ…

Additive Inverse Property

opposites add to be zero

Inverse Operations

Equivalent Equations

Identity

Ratio

Two operations that undo each other.

Equations that have the same solutions.

An equation that is true for all values of the variable.

A comparison of two numbers using division.

Inverse Operations

Two operations that undo each other.

Equivalent Equations

Equations that have the same solutions.

An isosceles triangle has two sides of…

Three times a number, x, increased by…

Five times a number decreased by nine…

When 122 is decreased by five times a…

3x-6=45

3x+4=5x

5x - 9 = 2x + 23

17

An isosceles triangle has two sides of…

3x-6=45

Three times a number, x, increased by…

3x+4=5x

Step 1.

Step. 2

Step. 3

Step. 4

eliminate parentheses or grouping symbols.

eliminate fractions/decimals if there are many in the problem

combine like terms on the same side of the equation

if there variables in both sides of the equation, move the va…

Step 1.

eliminate parentheses or grouping symbols.

Step. 2

eliminate fractions/decimals if there are many in the problem

Step 1.

Step. 2

Step. 3

Step. 4

eliminate parentheses or grouping symbols.

eliminate fractions/decimals if there are many in the problem

combine like terms on the same side of the equation

if there variables in both sides of the equation, move the va…

Step 1.

eliminate parentheses or grouping symbols.

Step. 2

eliminate fractions/decimals if there are many in the problem

linear equations in 2 variables

Solution of a system of 2 linear equat…

Substitution method

Linear Combination/Elimination method

consists of two linear equations in two variable

an ordered pair (x,y) that satisfies each equation of the sys…

1. Solve 1 of the equation for a variable. 2. Substitute the…

1. Multiply 1 or both of the equations by a constant to obtai…

linear equations in 2 variables

consists of two linear equations in two variable

Solution of a system of 2 linear equat…

an ordered pair (x,y) that satisfies each equation of the sys…

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

a+b=b+a

a x b = b x a

(a + b) + c = a + (b + c)

(a x b) x c = a x (b x c)

Commutative property of addition

a+b=b+a

Commutative property of multiplication

a x b = b x a

2X + 5 = 15

X/3 - 7 = 5

Whatever you do to one side of the equ…

Inverse operations

First subtract 5 from both sides of equation to get 2X = 10,…

First add 7 to both sides of the equation to get X/3 = 12, th…

You must do to the other side of the equation

operations that undo each other: addition is the inverse of s…

2X + 5 = 15

First subtract 5 from both sides of equation to get 2X = 10,…

X/3 - 7 = 5

First add 7 to both sides of the equation to get X/3 = 12, th…

Identity

Equation

Multiplication property of equality

Inductive reasoning

An equation that is true for all values of the variable

A number sentence that uses the equal sign (=) to show that t…

Both sides of an equation can be multiplied by the same nonze…

Making conclusions based on observed patterns

Identity

An equation that is true for all values of the variable

Equation

A number sentence that uses the equal sign (=) to show that t…

An isosceles triangle has two sides of…

Three times a number, x, increased by…

Five times a number decreased by nine…

When 122 is decreased by five times a…

18.5 cm

3x+4=5x

5x - 9 = 2x + 23

17

An isosceles triangle has two sides of…

18.5 cm

Three times a number, x, increased by…

3x+4=5x

Addition Property of Equality

Additive Inverse Property

Additive Identity Property

Multiplication Property of Equality

You can add/subtract the same number to both sides of the equ…

opposites add to be zero

the sum of any number and zero is that number

You can multiply/divide the same number to both sides of the…

Addition Property of Equality

You can add/subtract the same number to both sides of the equ…

Additive Inverse Property

opposites add to be zero

First Step

Second Step

Third Step

Fourth Step

Should I distribute? (yes/no)

Should I combine like terms? (yes/no)

Move all variables to one side of the equation (use inverse o…

Move all numbers to the other side of the equation (use inver…

First Step

Should I distribute? (yes/no)

Second Step

Should I combine like terms? (yes/no)

Solve the following system using elimi…

Solve the following system using elimi…

Solve the following system using elimi…

Solve the following system using subst…

(6, 1)

(1, -1)

(-3, 2_

(5, 1)

Solve the following system using elimi…

(6, 1)

Solve the following system using elimi…

(1, -1)

Solves each system of equations.... 4x +…

Find the approximate solution of the g…

Megan exercises every morning for 40 m…

All 28 members in Crestview High Schoo…

(3.96, -1.3) (B)

(3.36, -1.99) (A)

25 min aerobics... 15 min stretching (D)

18 members rented skis... 10 members rented snowboards (C)

Solves each system of equations.... 4x +…

(3.96, -1.3) (B)

Find the approximate solution of the g…

(3.36, -1.99) (A)

One-Step Equations ... EQUATION... e.g. x+3=5

Two-Step Equations ... EQUATION ... e.g. 2x-…

Equations with Brackets... EQUATION ... e.g.…

Collect like terms and solve ... EQUATION…

One-Step Equations... WORKING... x+3=5... x=5-3 (-3)... x=2

Two-Step Equations... WORKING... 2x-4=10... 2x=10+4 (+4)... 2x=14... x=14…

Equations with Brackets... WORKING... 3(x+1)=12... 3x + 3=12... 3x=12-3…

Collect like terms and solve... WORKING... 2x+3x+4=8... 5x+4=8... 5x=8-…

One-Step Equations ... EQUATION... e.g. x+3=5

One-Step Equations... WORKING... x+3=5... x=5-3 (-3)... x=2

Two-Step Equations ... EQUATION ... e.g. 2x-…

Two-Step Equations... WORKING... 2x-4=10... 2x=10+4 (+4)... 2x=14... x=14…

Variable

Algebraic expression/ variable express…

Evaluate

Term

is a symbol

an expression that contains one or more variables

Substituting numbers

is a number, variable, or the product of a number and one or…

Variable

is a symbol

Algebraic expression/ variable express…

an expression that contains one or more variables

Addition Property of Equality

Additive Inverse

Additive Identity

Multiplication Property of Equality

You can add/subtract the same number to both sides of the equ…

opposites add to be zero

the sum of any number and zero is that number

You can multiply/divide the same number to both sides of the…

Addition Property of Equality

You can add/subtract the same number to both sides of the equ…

Additive Inverse

opposites add to be zero