Download How to Solve Equations

How to Solve Equations
By: Matthew Olsack
How to solve a on-step equations
to solve a one-step equation you have to do inverse
operations. A inverse operation is the opposite operation. If an
equation is addition, then to find the variable, a letter for an
unknown number, you would do subtraction (it’s inverse
operation). It is the same thing for multiplication and
division. When you are doing equations you do the inverse
operation of the total (sum, quotient, product, difference)
and the number that you have in the problem, but you cross
that out. Once you solve the problem, that is the missing
variable. You can check your work by doing the problem
with the variable with it
Example: 4+n=10
4+6=10
-4
-4
n=6
How to Solve a Two-step Equation
Like a one-step equation, in a two step equation you also use
inverse operation, but in a two-step equation you always
start out with addition and subtraction. In a two-step
equation you will always have addition or subtraction and
multiplication or division. When you do your equation you
start out as usual adding or subtraction from your total.
Once you got your answer you then bring down your
multiplication or division and do the same once you solve
your problem check your work by doing the problem.
Example:6+6x=30
6+6 x 4=30
-6
- 6
6x
24
6
6
x=4
Now you Know Try it Out!
1. 5+x=20
2. 1+n=-5
3. 3-y=1
4. 200x=3000
5. 60 = 12
m
Word Problems!
1.
2.
3.
Ryan Howard struck out 172 times this year. He struck
out 199 times in 2007. what is the total amount of
times he struck out in 2007 and 2011 combined? Write
an equation and solve. Check your work!
Jacoby Elsbury hit 32 homeruns 2011. he hit 8
homeruns in 2008. what is the difference in homeruns?
Show your work and write an equation. Check your
work!
Curtis Granderson scored 136 runs in 2011. Ian kinsler
scored 121 runs in 2011. what are all of the runs
scored by the two players this year? Write and solve
an equation. Check your work!
Now you Know Try it Out
1. 5x + 4=59
2. n -4 = -2
2
3. 6y -5=31
4. n + 1= 6
10
5. 6x + 20= 56
Word Problems!
1.
2.
3.
Jimmy Rollins stole 30 bases this year. Geardo Parra
stole half as many. Chase Utley stole 14. how many
bases were stolen in all? Write and solve an equation.
Check your work!
Eric Thames 95 hits this year. That is half of what
Hunter Pence hit in the regular season. Hunter pence
also had 4 hits in the postseason. How many hits did
they have in total
Joey Votto had 103 RBIs this year. He had 3 less than
Michael Young. Michael young has 2 times more RBIs
than another guy. How much are in all? Solve and
write an equation. Check your work!
Answers for one-step equations
5+15=20 x=15
1+-6=-5 n=-5
3-2=1 y=2
200X15=3000 x=15
60 =12 m=5
5
One-step word problems
199=x-172
x=271
32=m+8
m=24
136=s-121
s=257
Two-step questions
5X11+=59 x=11
4 – 4 =-2
2
n=4
6X6-5=31
y=6
50 +1=6
10
n=50
6x+=56
x=50
Two-step word problems
X=59
N=289
W=162