Solving Equations
inverse operation of division
multiplication
2 (x + 2) = 2
x = -1
9 (-4x - 29) = 99
x = -10
3x = 2 (7 + 5x)
x = -2
x + 3 = 3 (11 - 3x)
x = 3
5 (5 - x) = -5
x = 6
inverse operation of addition
subtraction
7 (2 - x) - 5= 30
x = -3
5 (x - 6) = 3 + 8 (x + 9)
x = -35
12 (-2x - 9) = -12
x = -4
17 (3x + 2) = -272
x = -6
5 (7x - 13) = -30
x = 1
-210 = -7 (9x - 60)
x = 10
2 (x + 1) = 6x - 46
x = 12
3 (5x - 2) + 2 = 26
x = 2
2x - 4 = -4 (x - 5)
x = 4
-10 (-4x + 7) = 130
x = 5
2 (3x + 1) = 7x - 5
x = 7
x = 32
x-7 = 25
x = 6
5(x+2) = 40
x = 4
5x - 7 = 13
x = 3
7(x - 4) = - 7
Coefficient
A number written next to a variable
Combine Like Terms
Adding or Subtracting terms that look alike. (Only do on one side of the equation.)
What do you need to make sure that you have before adding and subtracting fractions?
Common Denominator
inverse operation of multiplication
Division
What will you do first when seeing a subtraction symbol?
Keep Change Change
How do you divide fractions?
Multiply by the reciprocal
When multiplying 3 negative numbers, what will be the sign of your answer?
Negative
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 ?
Distribute 11
What is the first step to solve 11(5 + 4x) = 55 ?
12 (-x + 5) = 144
x = -7
245 = -5 (4x - 17)
x = -8
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 ?
1+ 4 (2x + 1) = 5
x = 0
Add 11 to both sides.
What is the first step to solve 8x - 11 = 34 ?
What is the coefficient of -a?
-1
What is the coefficient of t?
1
x = 2
12x - 9 = 2x + 11
How many solutions do you get when square rooting both sides of the equation?
2
x = -13
2x + 9 = x - 4
x = -5
3x + 12 = -3
x = 7
3x + 4 = 25
x = 1
3x - 7 = 5x - 9
x = 10
3x -30 =0
x = -2
4x + 5 = -2x -7
x = 5
5 - 3x = -10
variable
A letter used to represent one or more numbers
Constant
A number written by itself.
Distributive Property
Multiplying the number in front of the parenthesis with every term inside of the parenthesis. (Only do on one side of the equation.)
When adding 2 positive numbers, what will be the sign of your answer?
Positive
Inverse operation of square (exponent of 2)
Square root
Subtract 4 to both sides
What is the first step to solve 4 + 5x = 19 ?
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 ?
Multiply by 4 to both sides.
What is the second step to solve x/4 - 7 = 12 ?
inverse operation of subtraction
addition
5 (n + 2) = 3n
n = -5