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