Simple Equations
What is the inverse operation of addition?
Subtraction
m+7=10
m=3
When should you combine like terms?
When they share the same variable or exponent
|-15|
15
y - 3=13.
Solve for y
y = 3+13
y = 16
x+9=7
-2
5=10-v
v= 5
3c + 1 = c + 1
c=0
|10| - |-10|
0
Solve for x.
2x +3x= 10
x =2
60=-12r
-5
2m -3=13
m=8
26 – 4s = 9s
s= 2
|w|=-3
No solution
Solve the equation for y:
y – 3x = 13
y = 3x + 13
c ÷ 6 = 7
c=42
36 = 13a – 4a
a=4
Find the error in the following:
Equation: 6(2y + 6) = 4(9 + 3y)
Step 1: 12y + 36 = 36 + 12y
Step 2: 24y = 12y
Step 3: No solution
12y and 12y were added instead of being subtracted.
What are the two equations for |m+3|=7 ?
m+3 = 7
m+3 =-7
Solve the equation for z:
20x + z = 15
z = -20x + 15
Find the error in the following work:
Equation: -0.8 + r = 12.6
Step 1: r = 12.6 – 0.8
Step 2: r = 11.8
Subtracted 0.8 instead of adding
Find the error in the following:
Equation: -2(7 – y) + 4 = -4
Step 1: -14 – 2y + 4 = -4
Step 2: -10 – 2y = -4
Step 3: -2y = 6
Step 4: y = -3
Distributed incorrectly:
-2 times –y should be
positive y (Step 1)
10(g + 5) = 2(g + 9)
g= -4
Simplify: |x + 4| =2
-2 & -6
Find the error in the following
when solving for x:
Equation: 12 – 2x = -2(y – x)
Step 1: -2x = -2(y – x) – 12
Step 2: x = (y – x) + 6
x is still on both sides
of the equation