Download Lesson 7.2: Proportions - mrstynercartervillehighschool

Solve:
3x + 2 = 6x – 1
a.) -1
b.) 1/3
c.) 1
Solve.
2(x – 1) = 3(x + 4)
a.)
b.)
c.)
-14
14
-14/5

The ratio of the length and the width of
the rectangle is 5:3. The area of the
rectangle is 240 square feet. What is the
actual length and width?
Warm-Up
Applying Fractions – Day 2
Proportions
To solve problems using proportions
Proportion: an equation that states that
two ratios are equal.
Written One of Two Ways:
2:3 = 4:6
2 4

3 6
Solving Proportions:
*Cross-Multiply
7 21

9 27
Example 1: Solve
a.
b.
y 5

3 8
15
6
z
Example 2: Solve
a. 3 x  1
5
x

2
b.
x5 x 2

12
5
Solve:
x4 2

3
15
a.)
b.)
c.)
2/3
22/5
-18/5
Example 3:
An investment of $1200 paid interest of
$102. How much interest would $1600
invested at the same rate for the same
amount of time pay?
A car travels 88 miles on ¼ tank of gas.
How much gas does it need to travel 264
miles?
A typist types an essay of 1260 words in
15 min. At that rate, how long would it
take to type an essay of 2100 words?
Pg. 295 #2,4,14,18,22,26,30
 Pg. 296 #2-8 even

Homework – Day 2