Lesson 1-2 thru 1-4 Interactive Study Session

Lessons 1-2 thru 1-4 Practice Problems

​Preparing for Friday's Quiz

Poll

Was the Study Guide assigned on Monday useful?

• Yes!! It helped me study

• I didn't do it...

• No, it was confusing

• Yes, I can use it to study some more

• Solving equations with variables on one or both sides.

• Explain each step of the algebraic proof using mathematical vocabulary.

• Determine what type of solution an equation might render: one, no or infinitely many solution(s).

• Rearrange formulas to highlight a quantity of interest (literal equations).

• Match the correct vocabulary term with "next best step".

• Match equations with its equivalent equation.

Here are the topics that have the possibility of appearing in tomorrow's quiz.

Poll

Which concept are you hoping to improve by the end of today's lesson?

(select all that apply)

• solving eqns with variables on one or both sides

• Justifying steps when solving eqns using math vocab

• determine the type and number of solutions an eqn might have

• rearranging formulas to highlight variable of interest (literal eqns)

• Identifying "next best step" and equivalent eqns

Categorize

Options (8)

$$8\left(p-1\right)=15$$  

$$7=-3\left(3c+7\right)$$  

$$3r-2+6r+5=9$$  

$$-10=u+4+4u-8$$  

$$6b-1=9-4b$$  

$$8w+3=-12w-4$$  

$$5t=15$$  

$$9=-3i$$  

Organize the equation(s) with the correct "best" first step

Distributive Property

Combine Like Terms

Eliminate the Smaller Variable

Isolate by Dividing the Coefficient

Matching equations with its equivalent equation

Example from your study guide:

Open Ended

What do we observe, or notice, if we apply the distributive property to the first term?

Draw

Now you try it!

Match by drawing a line connecting the equations to their equivalent equations.

Draw

SOLVING LINEAR EQUATIONS

Question: Are their variables on one or both sides of the equal sign?

Solve for w:

$$\frac{4\left(3-2w\right)}{3}+11=-1$$

w = _

Ms. Morado's Solution to the Equation

Open Ended

Did your solution differ (was it different) than the way Ms. Morado solved the equation?

Yes/No? Explain your answer

Justification when solving equations

-> Original equation

-> Distributive Property

-> Eliminate Smaller Variable; Property of Equality Subtraction

-> Property of Equality Subtraction

-> Simplify

-> Property of Equality Division


-> Solution to the equation

Justification

Steps

Reorder

Reorder the justifications with the proper steps of the following equation: $$-7x+3x-13=15$$

$$1.\ -7x+3x-12=15$$

$$2.\ -4x-13=15$$

$$3.\ -4x-13+13=15+13$$

$$4.\ \frac{-4x}{-4}=\frac{28}{-4}$$

$$5.\ x=-7$$

• Original Equation

• Combine Like Terms

• Properties of Equality Addition

• Properties of Equality Division

• Solution to the Equation

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Match

Match the different types of solutions an equation may have.

• An equation may have infinitely many solutions if the result is...

• An equation may have one solution if the result is...

• An equation may have no solution if the result is...

a true statement

a variable equal to a quantity (number)

a false statement

• a true statement

• a variable equal to a quantity (number)

• a false statement

Types of Solutions

Categorize

Options (7)

$$-2x+4=2x$$  

$$-3+4x=3x$$  

$$3x+10=-1+3x$$  

$$-4+7x=7x-3$$  

$$2x+3x=5x$$  

$$6x-4=2\left(3x-2\right)$$  

a friend for the empty category <3

Organize the following equations based on the type of solution we obtain when solving for the variable.

One Solution

No Solution

Infinitely Many Solutions

EMPTY CATEGORY :,(

Literal Equations

DEFN: An equation expressed in variables (letters)

Draw

Now you try it!

Isolate for $$m$$

$$\frac{km-p}{r}=t$$

Word Cloud

How are we feeling about tomorrow's quiz after today's activity?