Solving Multi-Step Equations 8th Grade

Solving Multi-Step Equations 8th Grade

Ms. Randolph's Class

Multiple Choice

Solve the following equation:

10x + 2 = 32

• 10x = 30

• x= 30

• x= 4

• x = 3

Multiple Choice

Solve the following equation:

4m + 3 = -13

• m=
  

  $-\frac{10}{4}$

• m=4

• m = -4

• m = -8
  

Multiple Choice

Solve the following equation: 5p + 6 = -9

• p = -3

• p = -15

• p =

  $-\frac{3}{5}$

• p=3

Distributive property

• In distributive property we distribute what is on the outside to the numbers on the inside using multiplication

• Ex. 1: 3(m + 5)

• Ex. 2: 5(y + 4)

• Ex. 3: 10(2p + 6)

• Ex. 4: 2(3r + 5r)

Multiple Choice

Simplify the following using the distributive property:

3(2 + m)

• 32 + 3m

• 6 + m

• 6 + 3m

• 9m

Multiple Choice

Simplify the following using the distributive property: 5(m + 10)

• 5m + 50

• 5m + 10

• 5m + 510

• 55m

• 5m + 40

Multiple Choice

Simplify the following using the distributive property: 4(2x + 3)

• 8x + 3

• 4x + 12

• 8 + 3x

• 8x + 12

Multiple Choice

Simplify the following using the distributive property: 4(10m - 12)

• 40m + 48

• 40m - 12

• 40m - 48

• 410m - 412

Solving Equations using the Distributive Property

• 1. Do the distributive property first

• 2.Follow the normal steps for solving equations

• Ex. 1: 3(m + 4) = 42

• Ex. 2: 4(2p + 5) = 36

• Ex. 3: 5(2x - 4) = 10

Multiple Choice

Solve the following equation:

5(p + 6) = 70

• p= 50

• p = 5

• p= 70

• p = 8

Multiple Choice

Solve the following equation:

3(2p + 4) = 24

• p = 2

• p = 4

• 6p = 14

• p = 8

Multiple Choice

Solve the following equation:

6(m + 2) = 30

• m = 4

• m = 12

• m = 6

• m = 3

Combining like terms

• Like terms are terms with the same variable raised to the same power

• You can combine like terms. You cannot combine unlike terms.

• Ex. 1: 3m + 2m + 4

• Ex. 2: 4p + 6 + 8p

• Ex. 3: 4j + 2k + 3j + k

• Ex. 4: 10w - w + 16 - 8

Multiple Choice

Simplify the following:

10r + 15 + 7r

• 21r + 15

• 32r

• 17r + 15

• 25r + 7

Multiple Choice

Simplify the following:

6 + 4r - 2 + r

• 4 + 5r

• 8 + 5r

• 4r

• 9r

Solving equations by combining like terms

• 1. Combine like terms

• 2.Solve the equation as normal

• Ex. 1: 5r + 6 + 3r = 22

• Ex. 2: 2p + 7p + 4 = 31

• Ex. 3: 10j + 2 = 22

Multiple Choice

Solve the following equation:

5p + 4 + 3p = 20

• p = 5

• p = 20

• p = 2

• p = 16

Multiple Choice

Solve the following equation:

15 + 7y - 2y = 35

• y = 5

• y = 14

• y = 4

• y = 8

Multiple Choice

Solve the following equation:

12m + 4 - m = 37

• m = 3

• m = 33

• m = 32

• m = 4

Let's Practice!

Multiple Choice

Solve the following equation:

5p + 7 = 42

• p = 35

• p = 42

• p = 4

• p = 7

• p = 5

Multiple Choice

Solve the following equation:

14 + 2y = 0

• y = -7

• y = 7

• y = 2

• y = -6

Multiple Choice

Solve the following equation:

2x + 6 = -20

• j = 42

• j = -13

• j = -12

• j = - 8

• j = -14

Multiple Choice

Solve the following equation:

 $\frac{1}{2}k\ +\ 5\ =\ 20$  

• k = 7.5

• k = 50

• k = 30

• k = 45

Multiple Choice

Solve the following equation:

 $\frac{m}{4}+\ 3\ =\ 13$  

• m = 40

• m = 10

• m = 4

• m =  $\frac{10}{4}$  

Multiple Choice

Simplify using the distributive property:

4(m + 4)

• 4m + 20

• 4m + 44

• 4m + 4

• 4m + 16

Multiple Choice

Simplify using the distributive property:

10(2m + 3)

• 20m + 3

• 50m

• 20m + 30

• 25m + 33

Multiple Choice

Solve the following equation:

2(m + 6) = 16

• 2m = 14

• m = 12

• m = 2

• m = 4

• m = 8

Multiple Choice

Solve the following equation:

5(2p + 3) = 45

• p = 3

• p = 4

• p = 45

• p = 8

Multiple Choice

Simplify the following by combining like terms:

2m + 6 + 8m

• 16m

• 16

• 6m + 6

• 10m + 6

Multiple Choice

Simplify the following by combining like terms:

10h + 12 - 3h

• 13h - 12

• 7h + 12

• 6h + 12

• 19h

Multiple Choice

Solve the following equation:

2m + 6m + 2m = 20

• m = 40

• m = 20

• m = 3

• m = 2

Multiple Choice

Solve the following equation:

15m + 10 - 5m = 60

• m = 30

• m = 5

• m = 10

• m = 4

• m = 20