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Unit 5: Equations and Inequalities Review

*Translate Algebraic Expressions

*Simplify Expressions

*Solve Equations

*Graph Inequalities

Yesterday we struggled with "turnaround phrases" like "15 less than x"

Strategy: Pretend it is an easier problem like "15 less than 20."

Since 15 less than 20 is 5,

20-15=5

and thus

15 less than x is

x-15

Multiple Choice

Translate the Algebraic phrase to math symbols:

8 less than a number

(hint: what is 8 less than 15?)

• 8 - n

• n - 8

Multiple Choice

Translate the Algebraic phrase to math symbols:

A number is reduced by 10.

(hint: what is 20 reduced by 10?)

• n-10

• 10-n

• $\frac{n}{10}$

• $\frac{10}{n}$

Multiple Choice

a apples shared equally by 5 people.

• $\frac{a}{5}$

• $\frac{5}{a}$

Poll

What does this emoji mean to you?

• I'm scared of my horse, but I also love him.

• I just fell off the mechanical bull.

• Man, that chile was hot!

Open Ended

What about this one? Type in your response.

Multiple Choice

Translate: the quotient of a number and 7

• n - 7

• 7 - n

• $\frac{n}{7}$

• $\frac{7}{n}$

Equations vs. Expressions

• SOLVE equations (use inverse operations on both sides of the = to isolate the variable)

• SIMPLIFY or EVALUATE expressions (NO = and follow PEMDAS)

Multiple Choice

Evaluate the expression for x = 5

10 + 3x

• 65

• 25

• 45

Multiple Choice

Solve the equation

10=2x

• x=12

• x=20

• x=5

Multiple Choice

What would you do first to solve the equation:

25 = 5 + 4x

• add the 25 and the 5

• subtract 4 from both sides of the =

• add 5 to both sides of the =

• subtract 5 from both sides of the =

Poll

Who is cooler?

Poll

Which candy do you prefer? (you can pick more than one here)

• Reeses Peanut Butter Cups

• Skittles

• Starburst

• M & Ms

• Sour Patch Kids

Multiple Choice

What is the opposite (inverse) operation? (what should you do on both sides to solve this?)

x - 6 = 10

•  $\div$  6

•  $-$  6

•  $+6$  

•  $\times$  6

Multiple Choice

What is the inverse (opposite) operation? (what would you do on both sides to solve the equation)
 $3x=12$  

• add 3 on both sides of =

• subtract 3 on both sides of =

• divide by 3 on both sides of =

• multiply by 3 on both sides of =

Poll

What I like most about math intervention (fractions club) is:

• Being in a smaller group.

• The games.

• Getting to see the teacher do examples.

• Using Imagine Math.

• Getting better at math before high school classes.

Open Ended

What I would change about math intervention (fractions club) is...