Fill in the blanks.
- If the cross products of a proportion are equal, the
proportion is. If the cross products are not
equal,the proportion is. - The proportion will be true if the product
is equal to the product. - Complete the cross products.
- In the equation , to undo the
multiplication by 6 and isolate x, both sides
of the equation by 6. - Label the missing units in the proportion.
- Consider the following problem:For every 15 feet of
chain link fencing, 4 support posts are used. How
many support posts will be needed for 300 feet of
chain link fencing?Which of the proportions below
could be used to solve this problem?
i. ii.
iii. iv.
Complete each solution.
- Solve the proportion:
The solution is.
- Solve the proportion:
The solution is.
x
245
x 49
x 49
14 x 49
14
x
49
17.5
x
18
3 x
3 x
2 9
2
3
x
9
NOTATION
4
15
x
300
4
15
300
x
15
4
x
300
15
4
300
x
Children
12
100
3
25
Teacher’s aides
6 x 2 12
9
2
45
10
10 2
10 4
2
5
4
10
CONCEPTS
Write each statement as a proportion.See Example 1.
- 20 is to 30 as 2 is to 3.
- 9 is to 36 as 1 is to 4.
- 400 sheets is to 100 beds as 4 sheets is to
1 bed. - 50 shovels is to 125 laborers as 2 shovels is to
5 laborers.
Determine whether each proportion is true or false by
simplifying.See Example 2.
Determine whether each proportion is true or false by finding
cross products.See Example 3.
Determine whether each proportion is true or false by finding
cross products.See Example 4.
Determine whether the numbers are proportional.
See Example 5.
- 18, 54 and 3, 9 38. 4, 3 and 12, 9
- 8, 6 and 21, 16 40. 15, 7 and 13, 6
11
1
4
2
1
2
3
4
1
6
1
5
1
1
6
1
1
7
11
2
3
2
1
2
1
1
5
3
3
4
2
9
10
1
4
5
3
3
7
2
3
16
4
1
6
3.2
4.5
1.6
2.7
1.2
3.6
1.8
5.4
0.6
1.4
0.9
2.1
0.5
0.8
1.1
1.3
40
29
29
22
9
19
38
80
6
27
4
18
4
32
2
16
42
38
95
60
21
14
18
12
2
5
8
20
7
9
70
81
GUIDED PRACTICE
5.2 Proportions 439