Solving Linear Equations

Solving Linear Equations

by Cayla Franzman

Multiple Choice

What is the opposite of divide?

• Add

• Multiply

• Subtract

Multiple Choice

What is the opposite of addition?

• subtraction

• multiply

• divide

​Solving

• ​The opposite of addition is subtraction

• ​We had to subtract 8 on BOTH SIDES

Multiple Choice

19  + a  =  -50

• a = -950
• a =  -69
• a = -31
• a = -50/19

Multiple Choice

What is the inverse operation needed to solve for p?
765 = p - 254

• subtraction
• addition
• multiplication
• division

Multiple Choice

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 
• Subtract 62 from each side.
• Multiply each side by 62.
• Add 123 to each side.

Multiple Choice

x + 12 = 20

• x = 32
• x = -32
• x = 8
• x = -8

Multiple Choice

Solve the equation:
x - 5.5 = 10.5

• x = 16
• x = -15
• x = 5
• x = -5

​Solving

• ​Remember when a number and letter are right next to each other they are being multiplied.

• ​The opposite of multiple is divide

Multiple Choice

Solve the equation:
-5x = 25

• x = 20
• x = -20
• x = -5
• x = 5

Multiple Choice

5.    6b = 30

• x = 36
• x = 24
• x = 180
• x = 5

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

What is the first step to solve this equation:
  3x = 44

• Add 3 to both sides
• Subtract 3 from both sides
• Multiply 3 on both sides
• Divide 3 on both sides.

Multiple Choice

Solve the equation
3x = 27. 

• x = 24
• x = 81
• x = 9

​Solving MULTI Step

• ​Move you letters (variable) together

• ​Move you numbers (constants) together

Multiple Choice

3a + 9 + 4a = 2

• -1
• 1
• no solution
• -7

Multiple Choice

2 + 14a = -8 + 9a

• -2
• 3
• 5
• -10

Multiple Choice

2x - 3 + 4x = 27

• 12
• 4
• 5
• 15

Multiple Choice

5x - 4 + 2x = 3

• 1
• 2
• 3
• 4

​Distribute

• ​multiply EVERYTHING on the inside by the outside number

Multiple Choice

2(4X-7)

• 8x-14
• 8x-7
• 6x+7
• 8x+14

Multiple Choice

2(4 + 9w) 

• 8+9w
• 2+9
• 8+18w
• 2+9w

Multiple Choice

-4(-4d - 5)

• -16d+20
• 16+20
• 16d+20
• 16s-20

Multiple Choice

Solve for x: 
4x + 1 = 7x - 5

• -1
• 2
• 6/11
• 8

Multiple Choice

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2
• -2/3
• 10
• -2

Multiple Choice

Solve for x:
8x + 2 + 3x + 5 = x + 12

• -1/2
• 2
• -2
• 1/2

Multiple Choice

5(2x - 7) = 80

• x = 11.5
• x = 115
• x = 12
• x = 16

Multiple Choice

Find y if

$$\frac{y}{6}$$  =  3

• 9

• 2

• 18

• 3

Multiple Choice

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 
• Subtract 62 from each side.
• Multiply each side by 62.
• Add 123 to each side.

Multiple Choice

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Multiple Choice

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5
• Subtract 5
• Multiply by 7
• Subtract 7

Multiple Choice

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5
• Subtract 5
• Multiply by 7
• Subtract 7

Multiple Choice

$$\frac{x}{-11}+8=6$$  

• $$x=-22$$  

• $$x=1$$  

• $$x=11$$  

• $$x=22$$