Jayvee's Algebra Post

How to Solve One Step Algebra Questions:
1) Isolate the variable (the unknown number in an algebra question)
2) Cancel the constant (the integer in an algebra question)
3) Balance by doing the same thing on one side and the other side of the equal sign
4) Verify your answer


Using Alge-Tiles:

How to Solve Two Step Algebra Questions:
1) Isolate the variable (the unknown number in an algebra question)
2) Cancel the constant (the integer in an algebra question)
3) Balance by doing the same thing on one side and the other side of the equal sign
4) Simplify the variable
5) Repeat step #3
6) Verify your answer

Using Alge-Tiles:

Melanie's Algebra Post

Some terms worth remembering:

• variable: is a letter that represents an unknown number in algebra (ex: a, q, t, k)
• constant: is the integer in an expression or equation (ex: x +6)
• expression: is a pattern and has many different answers (ex: 2x)
• equation: has an equals sign and has only one possible answer (ex: 2x=6)

How to solve One Step Algebra Equations:

1) Isolate the variable
2) Cancel using the opposite (cancel the constant using a zero pair)
3) Balance both sides (do the same on both sides of the equal sign)
4) Verify to solve equality

** Here are some examples of different types of One Step Algebra Equations:

Addition (with Alge-tiles):


Subtraction (with Alge-tiles):


Multiplication:



Division:





How to solve Two Step Algebra Equations:

1) Isolate the variable
2) Cancel the constant
3) Balance both sides of the equals sign
4) Simplify the variable
5) Balance both sides of the equals sign again
6) Verify to check


** Here are some examples of Two Step Algebra Equations:

Multiplication:



Division:

Karen's Algebra Post

One-Step Algebra Equations

Steps to solving One Step Algebra Equations:

1: Isolate the variable (variable- a letter representing an unknown/unlike number)

2: Cancel using the opposite; if there's a constant use zero pair

(constant- the integer in an algebraic expression or equation)

3: Balance, do the same on the other side of the equal sign

4: Verify to check- solve to equality

Here are some examples:

A number and 2 is 5. (n + 2 = 5)

The difference of a number and 10 is -21. (n - 10 = -21)

Five times a number is 20. (5 x k = 20/ 5k = 20)

Alge-Tile Example:

A number is divided by 8 is -4. (x ÷ 8 = -4)

Two-Step Algebra Equation

Steps to solving Two Step Algebra Equations:

1: Isolate the variable
2: Cancel the constant
3: Balance
4: Simplify the variable
5: Balance again
6: Verify to check

Multiplication

Ten times a number and 3 is 43. (10g + 3 = 43)

Division

A number is divided by 3 with 5 is 19.

Here are somethings to help:

One Step Addition Video

One Step Multiplication Video

One Step Division Video

One Step Subtraction Video

One Step Algebra Website to help and practice

One Step Addition Website

One Step Subtraction Website

One Step Multiplication Website

One Step Division Website

Two Step Algebra Video

Two Step Algebra Website to help

Jocelle's Algebra Post

One Step Algebra Equation:

Variable -> is a letter that represents an unknown number in algebra.
( q, x, z, t)
Constant -> is the integer in an expression or equation.
( x +6 )
Expression -> is a pattern.
( 2x )
Equation -> has an equal sign.
( 2x=6) -> only one possible answer.

Solving Addition/Subtraction One Step Equations:
1. Isolate the variable
2. Cancel using the opposite
- Create a zero pair for the constant
3. Balance on the other side of the equal sign
4. Verify your answer

Addition:

Subtraction:

Solving Addition/Subtraction One Step Equations Using Algebraic Tiles:
1. Isolate the variable
2. Cancel the constant using a zero pair
3. Balance
4. Verify to check

Addition: (tiles)

Subtraction: (tiles)

Solving Multiplication/Dividing One Step Equations:
1. Isolate the variable
2. Cancel using the opposite
- multiply or divide
3. Balance
4. Verify

Solving Multiplication/Dividing One Step Equations Using Algebraic Tiles:
1. Isolate the variable
2. Simplify the variable
3. Balance
4. Verify

Multiplication:

Division:

Solving Two Step Equations:
1. Isolate the variable
2. Cancel the constant
3. Balance
4. Simplify the variable
5. Balance
6. Verify

Example:

LINKS:

Solving One Step Equations

Solving One Step Equation #2

Solving Two Step Equation

Solving Two Step Equation #2

Solving Two Step Equation #3

Videos:

One Step Subtraction Equation

One Step Addition Equation

One Step Multiplying Equation

One Step Division Equation

Two Step Equation with Division and Subtraction

Two Step Equation with Multiplication and Addition

Two Step Equation with Multiplication and Subtraction

Worksheet:

Worksheet 01

Worksheet 02

Game

Kristel's Algebra Post

Solving One-Step Equations:

Variable - Is a letter that represents an unknown number in algebra Ex. a, g, x, n
Constant - Is the integer in an expression or equation Ex. x + 6
Equation - Has an equal sign and has only one possible answer Ex. 2x = 6
Expression - Is a pattern and has many different answers Ex. 2x

Alge Tiles:

To solve a one-step equation, the first thing you need to do is isolate the variable. To isolate the variable you need to get rid of the constant by using a zero pair or cancelling it out by using the opposite operation.

The next step is to balance it, which means whatever you do on one side of the equation sign, you have to do it on the other side of the equation sign.

The last step is to verify which is simply checking if your answer is correct.

Example:

Example:

Example:

Solving Two-Step Equations:

To solve two-step equations you need to Isolate the variable, Cancel the constant, Balance, Simplify the variable, Balance and Verify

Example:

Example:

Allison's Algebra Post

Terms to remember: Constant: The integer in an expression or equation
Example: a + 4

Variable: The letter that represents an unknown number
Example: a, x, y, k

Equation: Has an equal sign with only one possible answer
Example: 2a= 4

Expression: Is a pattern and has many different answers
Example: 2x

Alge-Tiles:

The 3 variables represent 3x.
The 12 tiles represent 12.

To solve one step equations you must isolate the variable you must cancel the constant by using the opposite operation or cancelling it out with a zero pair.
After cancelling the constant you must remember to balance the equation. That means whatever you do to one side you must do to the other side.

Lastly you must verify your answer to see if it is correct. Example:
Examples:
Addition-
x+8=28
x+8(-8)=28(-8)
x= 20
VERIFY:
x+8=28
20+8=28
28=28

Subrtraction-
x-2=3
x-2(+2)=3
(+2) x=5
VERIFY:
x-2=3
5-2=3
3=3


Multiplication:
2x=10



Division:
k/3= 6

Two Step Equations:
1. Isolate the variable
2. Cancel the constant
3. Balance
4. Simplify variable
5. Balance
6. Verify

Examples:

Lara's Algebra Post

Algebra: Writing a mathematical equation using a Letter.

Example : x + 4 = 5

Variable - a letter

that represents

a number in an algebraic equation or expression

Constant - the integer in an algebraic expression or equation

Expression - pattern, many

answers ex. 5x, 5x5

Equation - only has one answer, has an equal sign ex. 5x=25, 5x5=25

Solving an Algebraic equation.

Steps:

1. Isolate the variable.

2. Cancel using the opposite of

the number.

3. Constant is cancelled with the zero pair.

4. Balance, do the same

operation on the other side of the = sign.

5. Verify to check