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Objective
Solve equations involving rational numbers
Review
Vocabulary
Equation
A mathematical sentence that contains an
equals sign (=)
Example 1 Solve by Using Addition or Subtraction
Example 2 Solve by Using Addition or Subtraction
Example 3 Solve by Using Multiplication or Division
Example 4 Solve by Using Multiplication or Division
Example 5 Write an Equation to Solve a Problem
Write problem
Solve
G + 2.84 = 3.62
Ask: What is being done to
the variable?
The variable is being added
by 2.84 so do inverse on both
sides of the = sign
G + 2.84 – 2.84 = 3.62 – 2.84
Bring down G + 2.84
Subtract 2.84
Bring down = 3.62
Subtract 2.84
1/5
Solve
G + 2.84 = 3.62
Combine like terms
Bring down G
Use identity property
G + 2.84 – 2.84 = 3.62 – 2.84
G + 0 = 0.78
Bring down = 0.78
Answer:
G = 0.78
1/5
Solve
Answer: h = 3.08
1/5
Write problem
Solve
Ask: What is being done to
the variable?
The variable is being
subtracted by
Do the inverse on both sides
of the equal sign
Bring down
2/5
Bring down
Solve
Add
Bring down = s +
+
Add
2/5
Combine like terms
Solve
Bring down = s
Use identity property
+
+
=s+0
Answer:
=s
2/5
Solve
Answer:
=x
2/5
Write problem
Solve
Ask: What is being done to
the variable?
The variable is being
multiplied by
Do the inverse on both sides
of the equal sign
Write
Divide both sides by
3/5
Combine like terms
Solve
Use identity property
1  c = -33
Answer:
c = -33
3/5
Solve
Answer: x = –45
3/5
Write problem
Solve
9.7t = -67.9
Ask: What is being done to
the variable?
The variable is being
multiplied by 9.7
9.7t = -67.9
9.7
9.7
Do the inverse on both sides
of the equal sign
Write 9.7t = -67.9
Divide both sides by 9.7
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Combine like terms
Solve
Use identity property
9.7t = -67.9
9.7t = -67.9
9.7
9.7
1  t = -7
Answer:
t = -7
4/5
Solve 3.4t = –27.2.
Answer: t = –8
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PHYSICS You can determine the rate an object is
traveling by dividing the distance it travels by the
time it takes to cover the distance
If an object
travels at a rate of 14.3 meters per second for
17 seconds, how far does it travel?
Words
Rate equals distance divided by time.
Variables
r
=
Equation
14.3
=
5/5
Combine like terms
Use identity property
14.3  17=
 17
Apply dimensional analysis
243.1 = d  1
243.1 = d
Answer:
243.1 meters = d
5/5
*
PHYSICS You can determine the rate an object is
traveling by dividing the distance it travels by the
time it takes to cover the distance
If an object
travels at a rate of 73 miles per hour for 5.2 hours,
how far does it travel?
Answer: 379.6 miles = d
5/5
Assignment
Lesson 2:7 Solving Equations with
Rational Numbers
11 - 31 All