Lesson 4-14 for exercise sets. &KDSWHU
3UDFWLFH $FWLYLWLHV
Solve.
1.12.6g4.8 33 2. 7 6.5 3. 9 k4.5 2.7 4.5.1 2.3z 12
5.2.7h4.1 12.2 6.7.8 2.4y 3 7. 5 8.4 8. 4.17. 2
Write and solve an equation for the problem situation.
9.Hilda bought a flashlight. The flashlight cost $9.50, and each
battery cost $1.75. She spent a total of $13 on the flashlight
and the batteries. How many batteries did she buy?
10.Discuss and Write Identify the properties of equality you used in solving
the equation for exercise 4 above. Explain each use of a property of equality.
x
3.5
28 p
2
w
9.2
Solve: 0.3a(3.2) 4
0.3a(3.2) (3.2) 4 (3.2)
a 24
Check:0.3a(3.2) 4
0.3(24)(3.2) 4 Substitute 24 for a.
7.2 (3.2) 4 Simplify.
4 4 Tr u e
Subtract 3.2
from both sides.
?
?
- 2
0.3
0.3a
0.3 To “undo” multiplication,divide both sides by 0.3.
2
Write an equation for the problem situation. Solve and check.
Eric bought a sweatshirt. Five dollars more than half what he paid is $23.50.
How much did he pay for the sweatshirt? Let prepresent the amount Eric paid.
Equation: 5 23.50
Solve: 5 23.50
5 5 23.50 5
(2) 18.50(2)
p 37
So Eric paid $37 for the sweatshirt.
Multiply both
sides by 2.
Subtract 5
from both sides.
p
2
p
2
p
2
p
2
3
Think
4 (3.2) 4 3.2
Check: 5 23.50
5 23.50
18.50 5 23.50 Simplify.
23.50 23.50 Tr u e
Substitute 37
for p.
?
(^37) ?
2
p
2