Multi-step Equations

Multi-step Equations

SWBAT: solve equations

Solving Equations

Always use INVERSE operations (the opposite of what you see written in the problem!)

2-step equations

• subtract 5 ON BOTH SIDES

• divide by 2 ON BOTH SIDES

Multiple Choice

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

Multiple Choice

7k - 14 = 42

• 7

• -8

• 0

• 8

Multiple Choice

Level 2

Solve for a

• a= -2

• a= -7.5

• a= 2

• a= 6

2 step

subtract 7

multiply by 5

Multiple Choice

Level 3

Solve for w

• w = 2

• w = 4

• w = 6

• w = 8

Multiple Choice

Solve for x.

 $6\ \ =\ \ \frac{x}{4}\ +\ 2$  

• x = 16

• x = 0

• x = 4

• x = 1

• x = 8

2 Step

• multiply

• subtract

Multiple Choice

Solve for x:

 $\frac{x-4}{3}=2$  

• x = 10
  

• x = 18
  

• x = 2
  

• x = -2
  

fractions!!!!

• add 2 to both sides

• when you need to divide by a fraction, you MULTIPLY by the RECIPROCAL!!!

REMEMBER

• multiply by the reciprocal!!!!

• 
  

Multiple Choice

Solve for y:

 $\frac{4}{3}y\ +1=-14$  

•  $y=-21$  

•  $y=-12$  

•  $y=-16$  

•  $y=4$  

Multiple Choice

Solve for x:

 $9=\frac{3}{2}x$  

•  $x=3$  

•  $x=-6$  

•  $x=4$  

•  $x=6$  

Combining Like Terms

• put together the things that are a like

• put the X terms together and put the number terms together

• ALWAYS take the sign in front of the number!!!!

• Pay attention to postive and negative numbers!

Multiple Choice

5x - 4 + 2x = 3

• 1
• 2
• 3
• 4

Multiple Choice

2x - 3 + 4x = 27

• 12
• 4
• 5
• 15

Distributing

• distributing means to multiply!

• disribute to EVERYTHING!

Multiple Choice

Solve

-124 = 4 (1+ 8k)

• -11

• 10

• -4

• -2

Multiple Choice

-5(x-6)=15

• x=-2
• x=-3
• x=-9
• x=3

Multiple Choice

3(x+5)=30

• x=-5

• x=5

• x=10

• x=-10

Test tomorrow!

• solving equations

• Quizizz Practice Quiz (Take as many times as you want!)

• I will record a grade tomorrow at the beginning of class!