Final Day of Equations

Final Days of Equations

Solving 1-Step Equations

1) undo any addition or subtraction on the same side of the equal sign as the variable

or

2) undo any multiplication or division connected to the variable

Multiple Choice

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 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

20 = 2 - a

• a= 18
• a= -18
• a= -10
• a= 12

Multiple Choice

Solve for x
-3x = -27 

• x = 24
• x = 81
• x = 9
• x = -9

Multiple Choice

Which equation has x = 5 as the solution?

• x + 15 = 10
• 2x = 5
• 2x = 10

Multiple Choice

Solve for x

17 = x + 3

• x = 20

• x = 14

• x = 13

• x = 19

Multiple Choice

Solve for y:

y + 51 = -99

• y = -44

• y = 150

• y = -150

• Answer not Given

Multiple Choice

Solve for x:
-4x = 44

• x = 48
• x = -11
• x = 40
• x = -176

Multiple Choice

Which equation best describes the situation below?

Twice a number is 24.

• 2n = 24

• 2/n = 24

• 2 + n = 24

• 2 - n = 24

Multiple Choice

Solve for h in the following equation:

0 = 4h

• h = 4

• g = 1

• g = -4

• g = 0

Multiple Choice

Solve for z in the following equation:

z - 33 = 147

• z= 114

• z = 177

• z = 180

• No Solution

Multiple Choice

 $16\ =\frac{k}{11}$  

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Multiple Select

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

Multiple Select

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

2-Step Equations

1) Undo any addition or subtraction on the same side of the equal sign as the variable

then,

2) undo any multiplication or division connected to the varialbe

Multiple Choice

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

Multiple Choice

Solve the equation for x:

2x + 3x + 4 = 44

• x = 8

• x = 9

• x = 10

• x = 11

Multiple Choice

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

-4x+1=21

• x=120
• x=5
• x=30
• x=-5

Multiple Choice

7 + ^a⁄₃ = 5

• a= -2
• a= -6
• a= 3
• a= 15

Multiple Choice

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

Multiple Choice

Solve:

 $7+\frac{a}{3}=5$  

•  $a=-2$  
  

•  $a=-6$  
  

•  $a=3$  
  

•  $a=15$  
  

Multiple Choice

Solve:

 $6n+4=-26$  

•  $n=-6$  
  

•  $n=-5$  
  

•  $n=8$  
  

•  $n=-4$  
  

Multiple Choice

Solve:

 $3c+5=23$  

•  $c=3$  
  

•  $c=6$  
  

•  $c=7$  
  

•  $c=18$  
  

Multiple Choice

4x + 7 = 23

• x = 16

• x = 4

• x = 9

• x = 12

Multiple Choice

What is the first step in solving the equation?

• Add 4 to each side
• Subtract 4 from each side
• Subtract 2y from each side
• Divide each side by 2y

Multiple Choice

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

Solve.
8 = 2x - 12

• 10
• -2
• -8
• 18

Multiple Choice

Solve for d:

• d = 24

• d = -48

• d = -3

• 12

Multiple Choice

Solve for s:

• s= 10

• s= -6

• s= 18

• s=-10

Multiple Choice

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

Multiple Choice

Solve   -5t + 9 = 24

• -3
• 3
• 12

Multiple Choice

Solve  3x - 7 = 32

• 13
• -13
• 12
• -12

Multiple Choice

Solve:

 $-6w+1=-11$  

•  $w=2$  
  

•  $w=1.2$  
  

•  $w=12$  
  

•  $w=-2$  
  

Multiple Choice

Solve:

 $6n+4=-26$  

•  $n=-6$  
  

•  $n=-5$  
  

•  $n=8$  
  

•  $n=-4$  
  

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.