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

READAll 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.

Literal Equations

Now you try…

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 EVENPg. 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.