Review of One and Two Step Equations

One and Two-step Equations

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Multiple Choice

Solve:
$$x+1=-8$$  

• 9

• -9

• -7

• 7

Multiple Choice

Solve: $$x+1=-8$$  

• 9

• -9

• -7

• 7

Multiple Choice

Solve for x:

$$\frac{x}{5}=10$$  

• x = 2

• x = 5

• x = 50

Multiple Choice

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

• Add 3 to both sides

• Add -11 (Subtract 11) on both sides

• Add 11 on both sides

• Divide -3 on both sides.

Multiple Choice

Solve: 

$$2x+6=14$$  

• x = 4

• x = 10

• x = -4

• x = 3

Multiple Choice

Solve:

$$\frac{x}{4}+1=9$$  

• $$x=2$$  

• $$x=4$$  

• $$x=32$$  

Multiple Choice

Solve:

$$-4x+1=21$$  

• $$x=-120$$  

• $$x=5$$  

• $$x=30$$  

• $$x=-5$$  

Multiple Choice

Solve: 

$$5x+4=-6$$  

• 2

• -2

• 10

• 15

Multiple Choice

Solve: 

$$-4x+4=-20$$  

• $$x=4$$  

• $$x=-4$$  

• $$x=6$$  

• $$x=-6$$   

Multiple Choice

Solve: 

$$-5x-2=48$$  

• $$x=9$$  

• $$x=10$$  

• $$x=-10$$  

• $$x=-250$$  

Multiple Choice

Solve:

$$-6x+1=-11$$  

• 2

• 1.2

• 12

• -2

Multiple Choice

Solve:

$$6n+4=-26$$  

• n=-6

• n= -5

• n= 8

• n= -4

Multiple Choice

Solve: 

$$\frac{x}{2}-5=3$$  

• x = -2

• x = 2

• x = 16

• x = 8

Multiple Choice

Solve the algebraic equation for p.

p+8 = 12

• 4

• 20

• 1.5

• 96

Multiple Choice

Which method can be used to solve the algebraic equation below?

z - 6 = 13

• Subtract 6 from both sides of the equation

• Add six to both sides of the equation

• Subtract 13 from both sides of the equation

• Add 13 to both sides of the equation

Multiple Select

Select the two methods that can be used to solve the algebraic equation.

-2x = 12

• Add -2 to each side

• Multiply each side by -2

• divide each side by -2

• Multiply each side by -1/2

• Add -1/2 to each side

Multiple Choice

How would you solve the equation above?

• Multiply both sides of the equation by 1/3

• Multiply both sides of the equation by 3

• Divide both sides of the equation by 3

• Divide both sides of the equation by -6

For greater accuracy use a direction table.

• Draw the table and ask yourself...

• What is the variable?

• What is the operation being applied to the variable?

• What is the second operation?

• What is the output or end result (equal to)?

• Work backwards and do the inverse operation on the left hand side of the table.

Multiple Choice

$$13\ =s-21$$  

What is s?

• s = 34

• s = -8

• $$s=\frac{13}{21}$$  

• s = 0

Multiple Choice

$$4z=36$$  

What should you do first to figure out what "z" is?

• Subtract 4 from both sides.

• Divide both sides by 4.

• Multiply both sides by 4.

• Add -36 to both sides.

Open Ended

What grade would you like to earn in Algebra this quarter?

Multiple Choice

$$5+w=17$$  

What is w?

• w = 17

• w = 22

• w = 5-17

• w = 12

Multiple Choice

$$-14=r-11$$  

What is a good first step to solving this equation?

• Add 14 to both sides.

• Subtract 11 from both sides.

• Add 11 to both sides.

• Subtract 14 from both sides.

Multiple Choice

$$10u\ -\ 21=3u$$  

What does u =

• u = -21

• u = 3

• $$u=\frac{10}{21}$$  

• u = 0

Multiple Choice

$$\frac{x-7}{4}=-2$$  

What steps would solve this equation?

• Multiply both sides by 4, then add 7 to both sides.

• Divide both sides by -2, then add 7 to both sides.

• Add 7 to both sides then multiply both sides by 4.

• Divide both sides by 4 then subtract 7 from both sides.

Multiple Choice

$$9=\frac{r}{8}$$  

What is r?

• $$r=\frac{9}{8}$$  

• $$r=\frac{1}{64}$$  

• r = 72

• 9r = 8

Multiple Choice

$$7n=42$$  

What is n?

• n=294

• n=35

• n=7

• n=6

Multiple Choice

$$9-2x=35$$  

What is x?

• x=22

• x=-13

• $$x=\frac{35}{9}$$  

• x=-4

Multiple Choice

$$10=y-12$$  

What does y=?

• y=-2

• y=2

• y=120

• y=22

Multiple Choice

$$19=t+2$$  

What is a good first step to solve this equation?

• Subtract 2 from both sides.

• Add 2 to both sides.

• Subtract 19 from both sides

• Add 19 to both sides.

Multiple Choice

19  + a  =  -50

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

Multiple Choice

x - 8 = -5 

• 13
• -13
• 3
• -3

Multiple Choice

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

• subtraction
• addition
• multiplication
• division

Multiple Choice

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

Multiple Choice

15 = 2a + 7

• 2
• 4
• 12
• 14

Multiple Choice

What is a one-step equation?

• A problem where multiple operations are present.
• A problem where the variable is missing.
• An equation where only one step (operation) is needed to solve it.
• An equation where two steps (two operations) are needed to solve it.

Multiple Choice

What is a two-step equation?

• An equation where two steps (or operations) are needed to solve it.
• An equation where only one step is needed to solve it.
• A problem with only one operation present.
• A problem where you find the square-root of a number.

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

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

Figure out what n equals in this equation:
6n + 4 = -26

• n=-6
• n= -5
• n= 8
• n= -4

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

In the equation 4p = 20 the variable, p, is being multiplied by 4. How should you show your work to isolate the variable and solve the equation?

• Multiply both sides by 4.
  The solution is x = 80.
• Subtract 4 from both sides. 
  The solution is p = 16.
• Add 4 to both sides. The solution is p = 24.
• Divide both sides by 4. The solution is p = 5.

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 the equation:
-5x = 25

• x = 20
• x = -20
• x = -5
• x = 5

Multiple Choice

Solve the equation.

• y = 3

• y = -3

• y = 4

• y = -4

Multiple Choice

-15 = -10 + 5n

What is the first step in solving the equation above?

• Subtract 15 from each side.

• Subtract 10 from each side.

• Add 15 to each side.

• Add 10 to each side.

Multiple Choice

36 = -10 + 2n

What is the SECOND step in

solving the equation above?

• Divide by 2 on each side.

• Subtract 10 from each side.

• Divide by -2 on each side.

• Add 10 to each side.

Multiple Choice

6n

What inverse operation would you do to isolate the variable above?

• Multiply by -6

• Divide by 6

• Multiply by 6

• Divide by -6

Multiple Choice

-5 + m

What inverse operation would you

do to isolate the variable above?

• Add -5

• Add 5

• Subtract 5

• Divide by -5