Solving Equations 1-1/1-2

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

10x + 9 = 4x - 9

• x = 0

• x = 3

• x = -3

• x = -18

8x - 8 = -4x + 16

• x = 8

• x = 16

• x = 24

• x = 2

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

Solve the equation
12x - 15 = 3(2x+3)

• x = 4
• x = -4
• x = 2
• x = -2

6x + 10 = 2(3x + 4)

• x = 0

• x = 2

• No solutions

• Infinite solutions

Which of the following steps would NOT be a correct step towards solving the equation below:

 $-14x\ -\ 7\ =\ 3x\ +\ 2$  

• Combining  $-14x$  and  $3x$  to get  $-11x.$  

• Adding 7 to both sides of the equation.

• Subtracting 2 from both sides of the equation. 

• Subtracting  $3x$  from  $-14x$  to get  $-17x.$   

Which would be an example of an equation that has infinite solutions (all real numbers)?

• $3x-1=3x+4$

• $2y+5=5y+2$

• $2x-3=-3+2x$

• $4y=2y+2$

Answer explanation

If both sides are EXACTLY the same, then there are infinite solutions.

Solve: -18 - 6x = 6(1 + 3x)

• -1
• 1
• No Solution
• Infinite Solutions

• 25
• 11
• 35
• 1