Solving Equations 35 problems

2

12x - 9 = 2x + 16+ (-5)

-13

2x + 9 = x - 4

-5

3x + 12 = -3

7

3x + 4 = 25

1

3x - 7 = 5x - 9

10

3x -30 =0

-2

4x + 5 = -2x -7

5

5 - 3x = -10

6

5(x+2) = 40

3

7(x - 4) = - 7

inverse operation of multiplication

Division

What does every value of the variable as a solution look like when "solved"

It will look like the exact same value or expression on each side of the equals sign. (0 = 0 ; 4=4 ; x=x etc.) Any value you choose for the variable will make both sides of the equation equal.

Distribute 11

What is the first step to solve 11(5 + 4x) = 55 ?

Subtract 4 to both sides

What is the first step to solve 4 + 5x = 19 ?

Distribute 4

What is the first step to solve 4(3x + 2) = 28 ?

Add 3 to both sides.

What is the first step to solve 8 = n/7 - 3 ?

Distribute 9

What is the first step to solve 9(5x - 4) = 81 ?

Add 7 to both sides.

What is the first step to solve x/4 - 7 = 12 ?

Divide by 5 to both sides.

What is the second step to solve 4 + 5x = 19 ?

Multipy by 7 to both sides.

What is the second step to solve 8 = n/7 - 3 ?

Divide by 8 to both sides.

What is the second step to solve 8x - 11 = 34 ?

What does a no solution equation look like when "solved"?

You will get different values on each side of the equals sign (example 4 = 2 ) which can never be true, thus no solution.

inverse operation of subtraction

addition

inverse operation of division

multiplication

5 (n + 2) = 3n

n = -5

inverse

opposite

inverse operation of addition

subtraction

2 (x + 2) = 2

x = -1

3x = 2 (7 + 5x)

x = -2

7 (2 - x) - 5= 30

x = -3

12 (-x + 5) = 140+4

x = -7

1+ 4 (2x + 1) = 5

x = 0

5 (7x - 13) = -30

x = 1

3 (5x - 2) + 2 = 26

x = 2

2x - 4 = -4 (x - 5)

x = 4