Solving Linear Equations Lesson

Multiple Choice

Which of the following equations would be equal to  $$5\left(4-y\right)=45-6y$$ after the Distributive Property has been applied? 

• $$20-y=39y$$  

• $$4-5y=45-6y$$  

• $$20-5y=45-6y$$  

Multiple Choice

Solve for x:

• x = 20

• x = 2.5

• x = 10

• x = 3

Multiple Choice

3y+4y+6=20

• y=2
• y=-2
• y=4
• y=3

Multiple Choice

Solve: 5x - 14 = 8x + 4

• 6
• -6
• -18/13
• 10/3

Multiple Choice

$$97=-3\left(6n-5\right)-8$$  

• $$-10$$  

• $$16$$  

• $$-5$$  

• $$-2$$  

Multiple Choice

$$96=6\left(k+8\right)$$  

• $$12$$  

• $$8$$  

• $$-4$$  

• $$9$$  

Multiple Choice

Solve:

$$-4x+3\left(5x+10\right)=-36$$  

• x = 12

• x = -10

• x = -6

• x = -16

Multiple Choice

5(2x - 7) = 80

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

Multiple Choice

Solve $$\frac{2x-3}{4}=9$$  .

• 24

• 12

• 17.5

• 19.5

Multiple Choice

Solve:
2(2x + 3) = -6(x + 9)

• 1.2
• 6
• -6
• 7.5

Multiple Choice

Solve for x:
6(2x + 1) = 18

• 3
• 17/12
• 1
• 2

Multiple Choice

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

• -1/2
• 2
• -2
• 1/2

Multiple Choice

Solve:
2(2x + 3) = -6(x + 9)

• 1.2
• 6
• -6
• 7.5

Multiple Choice

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

• 2
• -2/3
• 10
• -2

Multiple Choice

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

• 2
• -2/3
• 10
• -2

Multiple Choice

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

• 3
• -3
• -5
• 5

Multiple Choice

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Multiple Choice

• p = 4

• p = -7

• p = -4

• p = 11

Fill in the Blank

Multiple Choice

Which of the following equations would be equivalent to $$4x+6+8x=2x+18$$  after like terms are combined? Remember you can only combine like terms on one side of the equals sign.

• $$12x+6=2x+18$$  

• $$14x=12$$  

• $$10x+8=2x+18$$  

Multiple Choice

Solve:
5y+34 = -2(-7y+1)

• y = -4
• y = 9
• y = 4
• y = 36/19

Multiple Choice

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Multiple Choice

Solve for f:
f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Multiple Choice

-5k + 10 = -2k - 14

• k = 8

• k = -8

• k = 2

• k = -2

Multiple Choice

Solve for x:
7 - 2(10x + 1) = 25

• 2/5
• 2
• 1
• -1

Multiple Choice

Solve for x:
10 = 3x -12

• 22/3
• 2/3
• 10/9
• 8

Multiple Choice

• -49
• 153/5
• 49
• 85

Multiple Choice

Solve for w:
-6w + 1 = -11

• 2
• 1.2
• 12
• -2

Multiple Choice

Solve     -20 = -4x - 6x

• x = -2
• x = 10
• x = 2
• x = -10

Multiple Choice

Solve the equation:
^x/₃+ 10 = 15

• 75
• 15
• 25
• 5

Multiple Choice

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

Multiple Choice

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

• -1/2
• 2
• -2
• 1/2

Multiple Choice

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

• 2
• -2/3
• 10
• -2

Multiple Choice

Solve for x.

• 55
• 60
• 15
• 35

Multiple Choice

Solve:
2(2x + 3) = -6(x + 9)

• 1.2
• 6
• -6
• 7.5

Multiple Choice

Solve:
7x + 19 = -2x + 55

• 4
• 14.8
• 8.2
• -4

Multiple Choice

Solve:
7x - 3x - 8 = 24

• 8
• -8
• 3.2
• 4

Multiple Choice

5(2x - 7) = 80

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

Multiple Choice

Solve the following equation,
3x + 6 = 21

• x = 9
• x = 5
• x = 15
• x = 27

Multiple Choice

$$-45=5\left(1-n\right)$$  

• 10

• 12

• -10

• 5

Multiple Choice

$$2\left(2-n\right)=34$$  

• 17

• -17

• -15

• 15

Multiple Choice

$$-2\left(n+2\right)=32$$  

• 18

• 0

• 16

• -18

Multiple Choice

$$2\left(2x+5\right)=-26$$  

• 4

• -4

• -9

• 9

Multiple Choice

Solve for x.

• x = 3

• x = -3

• x = -10

• x = 10