Everything Equations

Everything Equations

All the stuff you need to know about equations

One Step Equations

Can be solved using only one operation

Multiple Choice

Solve for p:

 $44=p-1$  

• p=43

• p=44

• p=45

• p=-44

Multiple Choice

Solve for m:

 $5m=0$  

• m=5

• m=1

• m=0

• m=-5

Multiple Choice

Solve for r:

 $r+7=17$  

• r=10

• r=24

• r=17/7

• r=-10

Multiple Choice

Solve for k:

 $72=9k$  

• k=9

• k=8

• k=81

• k=63

Multiple Choice

Solve for m:

 $\frac{m}{5}=20$  

• m=25

• m=4

• m=100

• m=15

Equations With Rational Numbers

Multiply by the reciprocal - flip the fraction

Multiple Choice

Solve for n

 $\frac{2}{3}n=8$  

• n = 238

• n = 12

• n = 24/2

• n = 7 1/3

Multiple Choice

Solve for n

 $\frac{1}{2\ }n=10$  

• n = 10

• n = 5

• n = 20

• n = 12

Multiple Choice

What would be the best first step to solving the equation in one step?

• multiply both sides by 11
• multiply both sides by ¹/₂
• divide both sides by 2
• multiply both sides by 2

Multiple Choice

What would be the best first step to solving the equation in one step?

• multiply both sides by 3
• multiply both sides by -3
• divide both sides by -3
• add 3 to each side

Multiple Choice

What would be the best first step to solving the equation in one step?

• multiply both sides by ³/₂ 
• divide both sides by 3
• multiply both sides by 3
• subtract ²/₃  from both sides

Two Step Equations

Always do the addition or Subtraction First

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

Solve for k


 $4\ +\ \frac{k}{2}=-3$  

• 14

• -14

• 4

• -2

Multiple Choice

Solve for x

 $\frac{x}{4}-3=9$  

• 48

• 24

• 3

• 36

Multiple Choice

Solve for p

6p - 5 =13

• 12

• 15

• 3

• -3

Fraction Bar Equations

Fraction bars are division- multiply by the denominator on both sides

Multiple Choice

Solve for s: 

 $\frac{3+s}{2}=15$  

• s=27

• s=33

• s=20

• s=17

Multiple Choice

Solve for s: 

 $\frac{r-11}{5}=2$  

• r=-1

• r=21

• r=18

• r=1

Distributive Property

Multiply the outside by everything on the inside

Multiple Choice

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Multiple Choice

(x - 6)4

• 24 - 4x
• 4x - 6
• x - 24
• 4x - 24

Multiple Choice

-2(x + 5)

• -2x + 10
• -2x - 10
• -2x + 5
• -2x - 5

Multiple Choice

-(8 - m)

• m - 8
• -8 - m
• 8 - m
• m + 8

Multiple Choice

3(2c - 5)

• 6c - 15
• 6c + 15
• 6c + 15
• -6c - 15

Distributive Property Equations

Perform the distributive property OR divide out the coefficient

Multiple Choice

Solve for n

6 (2n + 5) = 66

• 3

• 5.08

• 8

• 432

Multiple Choice

Solve for x

4 = 2(x + 3)

• 1/2

• 7/2

• -1

• 5

Multiple Choice

Solve for k 

 $96=6\left(k+8\right)$  

•  $12$  

•  $8$  

•  $-4$  

•  $9$  

Combining Like Terms

You can only combine terms with the same variable and power

Multiple Choice

Simplify:

5Z +11Z

• 6Z

• -6Z

• 16Z

• -16Z

Multiple Choice

Simplify:

-4W-10W

• 6W

• -6W

• -14W

• 14W

Multiple Choice

Simplify:

-5 + 9N + 6

• 11 + 9N

• 1 + 9N

• 1-9N

• 10N

Multiple Choice

Simplify:

W-10+9W-3

• 10W+7

• 9W-5

• 9W +13

• 10W -13

Multiple Choice

simplify: remember the order of operations!

10 -5(9n-9)

• 55-45n

• 45-55n

• 55+45n

• 45+55n

Multiple Choice

simplify:

-4 + 7 (1-3x)

• 11 + 3x

• 3-21x

• 11-2x

• 3 + 21x

Equations With Like Terms

Combine Like Terms FIRST

Multiple Choice

 $x+2+6=8$  

• 0

• 14

• 8

• 4

Multiple Choice

 $-2v\ +\ v\ =\ 3$  

• 4

• $-5$

• $-3$

• 5

Multiple Choice

5h - 6 - h + 10 = 12

• h= 12

• h= 2

• h= 0

• h= 5

Multiple Choice

3y + 6 + 4y - 7 = -8

• y=-1

• y=-8

• y=1

• y=7

Multiple Choice

Which is the correct work to find the solution to $3x+8+x=28$ 

Equations With Variables on Both Sides

Get all the variables on one side by subtracting entire terms

Multiple Choice

4x+9=-2x-15

• x=-4

• x=-24

• x=-6

• x=1

Multiple Choice

2x-1=3x+8

• x=7
• x=-9
• x=5
• x=3

Multiple Choice

5x+1=2x-5

• x=-2
• x=-6
• x=3
• x=.5

Mixed Equations

Decide what's the best way to solve

Multiple Choice

n+2=-14-n

• 6
• 8
• -8

Multiple Choice

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a

• Distribute 4 to a and -5

• Distribute -4 to a and -5

Multiple Choice

 $-118=-5\left(4+7x\right)+7$  

•  $-5$  

•  $-9$  

•  $3$  

•  $-1$  

Multiple Choice

-3 ( f - 8 ) = 39

• -21

• -10.3

• -5

• 5

Multiple Choice

 $-\left(3v+1\right)+7\left(6v+6\right)=-37$  

•  $4$  

•  $0$  

•  $2$  

•  $-2$