One-Step Equations
-x = 12
x = - 12
6x – 13 = 11
x = 4
4x + 3 = 7
x = 1
Compare/contrast expressions and equations?
Equations must have an equals sign.
Fractions represent this operation.
Division
The product of q and - 6 is 30
-6q = 30
4 = - 8 + x
x = 12
7(2z+1)=35
z = 2
4 + 5x = 29
x = 5
What would be your first step to solve 5x + 2 = 10?
Subtract 2 from both sides.
When solving for a variable with a coefficient of negative one, what is your step?
divide both sides by -1
Two thirds of a number, m is 12.
2/3m = 12
3 = - 2 – x
x = - 5
x/2 + 13 =-8
x= - 42
3/8p-1/6=3/4p-3/4
p=14/9
What would be your first step to solve
(2x + 1)/2 =6
Multiply both sides by 2.
How does an equation differ from an expression?
An equation involves two sets of equal terms. An expression is just a series of terms.
the quotient of 3 times a number k and 2 is negative 13
(3k)/2 = -13
5/2y+8=18
y=4
7/5z-1/2 =37/10
x = 3
14 = -3(-a - 2) + 2
a = 2
Are these fractions equivalent?
45/20 & 9/10
NO
Explain a variable term vs a variable
variable term may have any coefficient, a variable is only a single letter
14 fewer than a twice a number is 10
2x-14=10
-1/8 = x + 2
x=-2 1/8
x/3 - 6 = -3
x = 9
5(u+1)=3(3u+4)
u=-7/4
Are these expressions equivalent?
2x + 4 + 5x & 6x + 5
NO
What is the general process/order for solving equations?
Doing PEMDAS backwards or Inverse operations
the sum of a number x and 3 is 10 less than a number x
x + 3 = x - 10