Intro to Equations

Intro to Equations

THIS IS NEW STUFF - GET OUT YOUR NOTES

Multiple Choice

Review!

Simplify by combining like terms:

4x + 5 + 21x + 7

• 25x + 5 + 7

• 25x + 12

• 4x + 12 + 21x

Multiple Choice

Review!

Use the distributive property to simplify:

4(2m + 3) + 6

• 8m + 9

• 8m + 12

• 6m + 9

• 8m + 18

Substituting Values

(Addition & Subtraction)

Which value makes the equation true?

Open Ended

What do you think I need to do to solve for c in this equation?

c + 7 = 11

How can I find what the value of c is in this equation?

c + 7 = 11

hint: there are two different ways

Strategy 1: ISOLATE THE VARIABLE

c + 7 = 11

• the opposite of adding is to subtract

• in order to get the c by itself, we must subtract the 7

• whatever you do to one side of the equal sign you MUST do to the other side of the equal sign

• ANSWER: c = 4

Strategy 2: MENTAL MATH

c + 7 = 11

• ask yourself, what can I add to 7 that will give me 11?

• ANSWER: c = 4

Multiple Choice

Which is the solution to the equation?

v + 18 = 23

• 4

• 5

• 6

Multiple Choice

Which is the solution to the equation?

9 + w = 17

• 7

• 8

• 9

Poll

Which strategy do you find easier?

• Strategy 1: subtracting or adding each side to isolate the variable

• Strategy 2: mental math - asking myself what can be added or subtracted to get my final answer

Substituting Values

(Multiplication & Division)

Which value makes the equation true?

Open Ended

What do you think I need to do to get the z by itself in this equation?

18 = 6z

How can I find what the value of z is in this equation?

18 = 6z

hint: there are two different ways

Strategy 1: DIVIDING

18 = 6z

• the opposite of multiplication is division

• in order to get the z by itself, we must divide by 6

• whatever you do to one side of the equal sign you MUST do to the other side of the equal sign

• ANSWER: z = 3

Strategy 2: MENTAL MATH (multiply)

18 = 6z

• 6z is the same as 6 TIMES an unknown value

• ask yourself: what number multiplied by 6 will give me 18?

• ANSWER: z = 3

Multiple Choice

Which is the solution to the equation?

4n = 16

• 2

• 3

• 4

Multiple Choice

Which is the solution to the equation?

8 $\div$ c = 8

• 0

• 1

• 2

Poll

Which strategy do you find easier?

• Strategy 1: dividing both sides of the equation

• Strategy 2: mental math - asking myself what number can be multiplied by the coefficient

Poll

How well do you understand equations?

• this is easy Ms. Peet...

• getting there!!!

• lost in the sauce