Transcript Equations

Equations
Objective: solve linear equations with a
variable on one side.
4a = 24
This means
“4 multiplied by a”
What is the
inverse
operation?
Division
a = 24
4
=6
This means
“b divided by 5”
What is the
inverse
operation?
Multiplication
b=3
5
b=3x5
= 15
Simple Equations (1 step)

Includes variable, one operation, and answer

X–2=8

4+X=8

6/x = 3

2x = 10
Tara and Tom were solving linear equations.
To find the value of x in a linear equation,
Tara asked herself, “What number, when
you subtract four from it, is equal to
twelve?” Tom solved a linear equation by
adding four to both sides. It is possible
that the two students were solving the
same equation? How do you know?
Medium
Let’s make
this question
This
isThis
the
only
saysbit
into
a
low
thatsimple
is “add
different.
8”
Wequestion.
can use We
inverse
What
is the
know
how
to
operations
to get
inverse
solve
those!
rid ofoperation?
it. Subtract
Look! A simple
question!
3a + 8 = 35
3a = 35 - 8
3a = 27
a = 27
3
=9
Equations (2 step)

Includes variable, two operations, and answer

3X – 2 = 8

4 + 5X = 19

6/x + 4 = 7

2x - 6 = 10
Sal explained how he solved a linear
equation by saying, “I undid the addition
by subtracting from both sides. Then I
undid the multiplication by dividing both
sides. That told me the value of x was
ten.” What equation might Sal have
solved?
The hand shown is covering a term in a
linear equation. What might the hidden
term be and what as a result, would be
the value of x?
4 + ø= 16
Take it up a level!
Objective: solve linear equations with an
unknown (variable) both sides.
Level 2
5a + 3 = 2a + 12
5a = 2a + 12 - 3
Let’s start by5a = 2a + 9
Doing this removes
removing this.
the add 3, but
This
Now,remember
this.
to subtract
5asays– 2a
=let’s9remove
add 3
3 from the other side
“get9
rid of” our 2a, we
3aTo
=
What is the
too!
have to subtract 2a
inverse
operation? a = 9
=3
Subtract 3
A 3
Equations (variables on both sides)

Includes variable in several places, more than
one operation, and answer

7x + 10 = 2x

11x = 24 + 8x

8y – 3 = 6y +17

7k + 12 = 8 – 9k