Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

Prerequisite Skills Needed:

- Basic Addition & Subtraction Skills

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

What’s the difference between an Expression & an Equation? Expression Equation

7 + 3 7 + 3 = 10

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

What’s the difference between an Expression & an Equation? Expression Equation

7 + 3 7 + 3 = 10 5 + x 5 + x = 12

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

What’s the difference between an Expression & an Equation? Expression Equation

7 + 3 7 + 3 = 10 5 + x 5 + x = 12

You would say:

“the sum of seven and three” -or-

“the sum of five and x”

You would say:

”The sum of seven and three is ten.”

-or- “The sum of five and x is

twelve.”

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

What’s the difference between an Expression & an Equation? Expression Equation

7 + 3 7 + 3 = 10 5 + x 5 + x = 12

You would say:

“the sum of seven and three” -or-

“the sum of five and x”

You would say:

”The sum of seven and three is ten.”

-or- “The sum of five and x is

twelve.”

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

Expression 7 + 3

Equation Remember that in an EQUATION - each side of the equation must be balanced.

7 + 3

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

Expression 7 + 3

Equation 7 + 3 = 10

Remember that in an EQUATION - each side of the equation must be balanced.

7 3 10

7 + 3 = 10

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

Expression 7 + 3 5 + x

Equation 7 + 3 = 10

Remember that in an EQUATION - each side of the equation must be balanced.

5 + x

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

Expression 7 + 3 5 + x

Equation 7 + 3 = 10 5 + x = 12

Remember that in an EQUATION - each side of the equation must be balanced.

5 12 x

5 + x = 12

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

5 + x = 12

5 12 x

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

5 + x = 12

5 12 x

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

5 12 x

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

To Isolate the Variable:

– Keep the equation balanced! –

Cancel out all the extra

numbers by performing ‘opposite’ operations.

5 + x = 12

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

5 12 x

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

To Isolate the Variable:

– Keep the equation balanced! –

Cancel out all the extra

numbers by performing ‘opposite’ operations.

5 + x = 12 -5

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

5 + x = 12 -5

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

5 + x = 12 -5

– Keep the equation

balanced! –

Whatever you do to one side of the equation, you

must do to the other!

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

5 12 x

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

5 + x = 12 – Keep the equation

balanced! –

Whatever you do to one side of the equation, you

must do to the other!

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

5 12 x

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

5 + x = 12 -5 = -5

5 -

– Keep the equation balanced! –

Whatever you do to one side of the equation, you

must do to the other!

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

5 + x = 12

x = 7 -5 = -5

x 7

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

5 + x = 12

x = 7 -5 = -5

Tip: When solving, keep your

equals signs lined up vertically to keep things

organized.

x 7

Intro to Expressions & Equations _____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

In an equation, an unknown quantity can be represented by a variable (such as ‘x’). In order to figure out the value of this unknown quantity, you must

Isolate the Variable to one side of the equation by itself.

5 + x = 12

x = 7 -5 = -5

x 7

NOW WHAT?

1) Re-watch/Re-wind

2) Master Practice Problems

3) Next Skill: One- & Two-Step Equations