Solving Equations with the Variable on Each Side

Solving Equations with the Variable on Each Side

by Omar Shishani

Multiple Choice

Quick Check:

–56 = 7y

• y = -8

• y = 8

• y = 6

• y = -9

Multiple Choice

The goal of solving a one, two, or multi-step equations is to:

• Find the value of the variable

• Find the constant

• Be confused

• Find the coefficient

Multiple Choice

Quick Check:

$$\frac{x}{12}=\frac{48}{9}$$  

• x = 64

• x = 84

• x = 58

• x = 52

Multiple Choice

Quick Check:

Write an equation for negative three times a number is negative thirty. Then solve the equation.

• –3n = –30; 10

• –3n = 30; –10

• –3 = –30n; 

• –3 + n = –30; –27

Multiple Choice

Quick Check:

$$\frac{p}{-3}+51=37$$  

• p = 42

• p = -14

• p = 14

• p = -42

Fill in the Blanks

Multiple Choice

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

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

Multiple Choice

Solve for x:

12k + 15 = 35 +2k

• k = 2

• k = 4

• k = -2

• k = -4

Multiple Choice

Solve for f:

f - 4 = 6f + 26

• f = -5
• f = 5
• f = 6
• f = -6

Multiple Choice

Solve for y;

3y + 4y + 6 = 20

• y = 2

• y = -2

• y = 4

• y = 3

Multiple Choice

-5 - r = 1 + 2r

• r = 21

• r = -2

• r = -4

• r = 4

Multiple Choice

15 +6b - 6b = 4b - 1 - 6b

• b = -8

• b = 8

• b = -0.5

• b = 16

Multiple Choice

10 - 10x = 1 - 9x

• x = 99

• x = -3

• x = 9

• x = 1

Multiple Choice

4b + 2 = 3b

• b = 7/2  (or 3.5)

• b = -2

• b = 2

Multiple Choice

Solve the Equation:
-2h - 16 = 3h - 6

• h = 10
• h = 2
• h = -2
• h = -10

Multiple Choice

Solve for p;

$$4+6p=10\left(p+2\right)$$  

• p = 2

• p = -4

• p = 4

• p = 6.75

Multiple Choice

Solve for p;

$$3.53+0.7p=1.2\left(p+1.9\right)$$  

• p = 2

• p = 2.5

• p = -3.25

• p = 6.75

Multiple Choice

Solve for p;

$$\frac{1}{2}\left(4+6p\right)=4\left(p-2\right)$$  

• p = -10

• p = 10

• p = 6

• p = -6

Multiple Choice

Solve for p;

$$\frac{3}{4}\left(12+4p\right)=\frac{2}{3}\left(3p-6\right)$$  

• p = 27

• p = -13

• p = 5

• p = -5

Fill in the Blanks