Solve equations involving rational numbers using addition and subtraction
Objectives
Student will be able to:
use addition or subtraction to solve equations involving rational numbers.
Introduction
A
rational number
is a number that can be written as a ratio,
, where
a
and
b
are integers, and
. Remember,
integers
are the numbers in the set
.
Since rational numbers include fractions, they can also be written as decimals. For example,
and
.
Equations which include rational numbers, fractions, or decimals can be solved the same way that equations which include whole numbers can be solved.
For example, to solve
, since
is being subtracted from
x
, you can add
to both sides.
Examples
1.
Solve the equation for
x
.
Subtract
from both sides of the equation. Then simplify the left side and right sides of the equation.
2.
Solve the equation for
x
.
Add 4.4 to both sides of the equation. Then simplify the left and right sides.
Try Together
Complete the exercises. Show all work.
1.
Solve the equation for
x
.
Check student's work.
2.
Solve the equation for
a
.
Check student's work.
Please evaluate the student's answers:
Excellent
Good
Okay