Multiply And Divide With Scientific Notation Worksheet Page 6
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1
2
3
4
5
6
7
8
9
106(x
7)
6(x
7)
6(x)
6(7)
Distributive Property
6x
42
Multiply.
Apply Properties to Problem Solving
Three friends are going to the science museum. The cost of
MUSEUMS
admission is $x each. It will cost an additional $4 to view a movie on the
3-D screen. Write and simplify an expression that represents the total cost
for the three friends.
The cost of admission plus the movie can be represented by (x + 4).
Multiply this cost by the number of friends, 3(x + 4).
3(x
4)
3(x)
3(4)
Distributive Property
3x
12
Multiply.
So, the total cost for the three friends is $3x
$12.
Refer to Example 5. A fourth friend will meet the group of
MUSEUMS
friends at the museum but will not go to the movie. Write and simplify
an expression that represents the total cost for the four friends.
The cost for the fourth friend is $x. Add this to $3x
$12.
3x
12
x
3x
x
12
Commutative Property
4x
12
Add.
So, the total cost for the four friends is $4x
$12.
Exercises
Name the property shown by each statement.
3n m
m 3n
0
18d
18d
1.
2.
(7y 8) 10y
7y (8 10y)
20xy 1
20xy
3.
4.
2
3(6a
7b)
3 6a
3 7b
8
0
0
5.
6.
Simplify each expression. Justify each step.
1
(6
x)
5(6a)
11 (6 n)
7.
8.
9.
5(x
8)
15(4w)
9(x
2)
10.
11.
12.
9
2y
11
5y
4(x
7)
2x
11n
7(2
3n)
13.
14.
15.
A zebra can run up to 40 miles per hour. An elephant can run up to
ANIMALS
16.
x miles per hour. Write and simplify an expression to find how many more miles a
zebra will run in six hours than an elephant.
Seven friends have similar cell phone plans. The price of each
CELL PHONES
17.
plan is $x. Three of the seven friends pay an extra $4 per month for unlimited
text messaging. Write and simplify an expression that represents the total cost of
the seven plans.
605
Prerequisite Skills
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