Transcript One-Step Equations

One-Step Equations
• You only need to complete ONE STEP to
solve the equation!
Wait a minute!
Yesterday you
said x equals 2!
X+2=5
X=3
Equation Check-list
1.
2.
3.
4.
Identify the Inverse Operation
Balance the equation
Solve
Check your answer!
Let’s Try One:
REMEMBER:
1. Inverse
Operation
X + 7 = 10
- 7 -7
X+0= 3
X=3
CHECK IT: (3) + 7 = 10
2. Balance
3. Solve
Time for some FUN!
MathRealm Assignment
Let’s Practice
1.
2.
3.
4.
5.
X – 3 = 12
-4 + x = 3
7x = 35
x
2 = 40
X+7=4
Check your
work:
1. 15
2. 7
3. 5
4. 80
5. -3
Try this!
• A farmer has 1875 pounds of oranges. He sells
them to a grocer who then sells the oranges in
six-pound bags and nine-pound bags. If the
grocer uses the same number of 6 lb bags and 9
lb bags, how many bags were used all together?
• A. Write an equation (remember to
combine like terms)
• B. Solve the One-Step Equation
More Practice with One-Step
Equations
1.
2.
3.
4.
5.
6.
7.
8.
X / 3 = 216
-15 x = 600
13 – x = 42
X + 12.5 = - 17.05
X / 20 = 3
-8 = a / 16
104 = 8b
X + 142 = 200
Challenge Yourself!
x
18

2 / 9 16
X = .25 or 1/4
One-Step Equations
Math Log Question
• Paper bag demonstration: There are 14 pencils
total. There are the same number of pencils in
each bag. How many pencils are in each bag?
= 14 pencils
We can write the previous question as
Use your
an equation:
knowledge
2x + 4 = 14
2x + 4 = 14
-4 -4
1. Subtract 4 from both sides
2x = 10
2
2
2. Divide both sides by 2
X = 5
of solving
one step
equations!
Try this one:
There are 16 pencils total and the same number
of pencils in each bag. How many pencils are in
each bag? Write an equation to represent the
problem.
= 16
pencils
Algebra Balance Scales Negatives - NLVM
Practice Time!
Complete these on the back of your handout
1. 2x - 5 = 13
2. 4x - 8 = 44
3. (x/2) + 3 = 5
4. (x/3) - 5 = 7
5. (x/4) + 1 = 2
Just a few more:
5 x
 1
6
128  10( x  5)
 4x  12x  4  36
Two-Step Equations