Expressions, Equations and
Inequalities
Ch. 1.4
Solving Equations
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Bell Work
Simplify
1. -(a+2b) + 4(a+2b) – 2(a+2b)
2. Write an algebraic expression and solve it for following; Your car’s gas tank holds 25 gallons, if it is full and you use 1.5 gallons per day, how long until you run out of gas?
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Algebraic Expressions
READ
All of the one-variable equations in this lesson are linear (first degree) equations.
Usually if a one-variable linear equation has a solution, then it has exactly one real solution.
One-variable equations of higher degrees can have more than one real solution.
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Solving a one-step equation
What is the solution of x + 4 = -12?
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Solving a one step equation
Now you try…
What is the solution of 12b = 18?
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Solving a multi-step equation
What is the solution -27 + 6y = 3(y-3)
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Solving a multi-step equation
Now you try…
3(2x-1) – 2(3x+4) = 11x
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Special circumstances…
Is the equation always, sometimes, or never true?
11 + 3x – 7 = 6x + 5 – 3x
6x+5-2x=4+4x+1
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Special circumstances…
Now you try…
7x+6-4x=12+3x-8
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Literal Equations
This equation relates temperatures in degrees
Fahrenheit and degrees Celsius. What is F in terms of C?
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Now you try…
Literal Equations
K = C + 273, Solve for C
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Partner Time!
Listen to Mrs. Johnson for further instruction.

(Isn’t she so cute!?)
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Practice with your partner… (if time allows)
Pg. 22, 10-18 EVEN, 30-34 EVEN
Pg. 30, 11-39 ODD
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.

Closure
(On your bell sheet)
Create your own real-world situation that can be modeled with an algebraic expression. Explain the problem and how to solve it.
EQ:How can I create equations to solve problems? ? I Will...Create equations and use that equation to solve problems.