General Principles of Intellectual Property: Concepts of Intellectual Proper...
(7) Lesson 6.3
1. Solve each equation. Check your solution.
1. 5x = 35
2. –8z = 48
3.
4.
5. A package of 8 juice bottles costs $12. What is
the price per bottle?
7
4
n
15
3
t
Course 2, Lesson 6-3
2. Course 2, Lesson 6-3
ANSWERS
1. x = 7
2. z = –6
3. n = 28
4. t = –45
5. $1.50
3. WHAT does it mean to say
two quantities are equal?
Expressions and Equations
Course 2, Lesson 6-3
6. • To solve equations with
decimal coefficients
• To solve equations with
fraction coefficients
Course 2, Lesson 6-3
Expressions and Equations
7. 1
Need Another Example?
2
3
4
5
Step-by-Step Example
1. Solve 16 = 0.25n. Check your solution.
Write the equation.16 = 0.25n
Division Property of Equality
Simplify.64 = n
Write the original equation.Check 16 = 0.25n
Replace n with 64.16 = 0.25 • 64
This sentence is true.16 = 16
The solution is 64.
?
9. 1
Need Another Example?
2
3
4
5
Step-by-Step Example
2. Jaya’s coach agreed to buy ice cream for all of the team members.
Ice cream cones are $2.40 each. Write and solve an equation to
find how many cones the coach can buy with $30.
Write the equation; $2.40 = 2.4.2.4n = 30
Division Property of Equality
n = 12.5 Simplify.
Let n represent the number of cones the coach can buy.
Since the number of ice cream cones must be a whole
number, there is enough money for 12 ice cream cones.
10. Answer
Need Another Example?
Jamie wants to cut pieces of siding that are each
3.5 feet long to fit between a window and the end of
the house. If the original piece of siding is 21 feet
long, write and solve an equation to find the total
number of 3.5 foot long pieces he can cut.
3.5x = 21; 6 pieces
11. Need Another Example?
Step-by-Step Example
3. Solve x = .
1
2
3
4
Write the equation.
x =
1
Simplify. Check the solution.
Divide by common factors.
1 1 4
1 1 1 5
Multiply each side by the reciprocal of , .
13. 1
Need Another Example?
2
3
4
5
6
Step-by-Step Example
4. Solve – d = 5. Check your solution.
Write the equation.
Check
Divide by common factors.
1 1
1 1
Simplify.
Write the original equation.
Multiply each side by the reciprocal of – , – .
Simplify.
This sentence is true.
Write 5 as .
Replace d with – .
15. 1
Need Another Example?
2
3
4
5
Step-by-Step Example
5. Valerie needs yard of fabric to make each hat for the
school play. Write and solve an equation to find how
many hats she can make with 6 yards of fabric.
Write the equation.
n = 9 Simplify.
Write and solve a multiplication equation.
Let n represent the number of hats.
Valerie can make 9 hats.
Multiply each side by .
16. Answer
Need Another Example?
Samantha answered of the questions on her
science quiz correctly. If she answered 8 questions
correctly, write and solve an equation to determine
how many questions were on the quiz.
x = 8; 10 questions
17. How did what you learned
today help you answer the
WHAT does it mean to say
two quantities are equal?
Course 2 Lesson 6-3
Expressions and Equations
18. How did what you learned
today help you answer the
WHAT does it mean to say
two quantities are equal?
Course 2 Lesson 6-3
Expressions and Equations
Sample answer:
• The same properties can be used to solve equations
with decimal and fraction coefficients.
19. Explain how what you
have learned about solving
one-step equations will help
you solve two-step equations.
Ratios and Proportional RelationshipsExpressions and Equations
Course 2 Lesson 6-3