7.1 Ratio and Proportions.notebook
Objective: You will solve quadratic equations.
Solve.
Warm up
Solve:
1. x2 ­ 49 = 0
2. x2 ­ 7x ­18 = 0
4x2 = 64
Solve.
6)
2x2 + 5x ­ 12 = 0
1) 2x2 = 50
2) x2 ­ 5x = 6
Solve.
Solve.
3)
January 07, 2015
4)
x2 ­ 8x + 15 = 0
5) x2 ­ 7x = 18
Solve.
7) 3x2 ­ 11x ­ 4 = 0
1
7.1 Ratio and Proportions.notebook
January 07, 2015
Solve.
Solve.
8) 10x2 + 11x ­ 6 = 0
9)
Solve.
Solve.
10) 2x2 ­ 4x + 10= 0
3x2 + x ­ 14 = 0
2x2 ­ 4x ­ 10 = 0
No Real Solution
Assignment: pg 439 # 1 ­ 12
Check: pg 439 # 1 ­ 12
Warm up
Solve.
1)
4x2 ­ 36 = 0
2)
x2 ­ 3x ­ 28 = 0
2
7.1 Ratio and Proportions.notebook
January 07, 2015
Worksheet: Review of Solving Quadratic Equations
Warm up
.
Questions?
7.1 Ratio & Proportions
Objectives:
• You will solve ratio and proportion problems
Key Vocabulary:
ratio a comparison or two numbers
proportion an equation stating two ratios are equal
extremes the first and last numbers
means the middle numbers
3
7.1 Ratio and Proportions.notebook
Example # 1 Writing a Ratio
The bonsai bald cypress tree is a small version of a full size tree. A Florida bald cypress tree called the Senator stands 118 ft tall. What is the ratio of the height of the bonsai to the height of the Senator?
A bonsai tree is 18 in wide and stands 2 feet tall. What is the ratio of the width of the bonsai to its height?
15 in.
Example # 2 Dividing a Quantity Into a Given Ratio
Members of the school band are buying pots of tulips and pots of daffodils to sell at their fundraiser. They plan to buy 120 pots of flowers. The ratio of tulip pots to daffodil pots will be 2/3. How many pots of each type of flower should they buy?
The measures of two complementary angles are in the ratio 2: 3. What are the measures of the angles?
January 07, 2015
The measures of two supplementary angles are in the ratio 1: 4. What are the measures of the angles?
Example # 3 Using an Extended Ratio
The lengths of the sides of a triangle are in the extended ratio 3 : 5: 6. The perimeter of the triangle is 98 in. What is the length of its longest side?
4
7.1 Ratio and Proportions.notebook
The lengths of the sides of a quadrilateral are in the extended ratio 1 : 2 : 3 : 5. The perimeter of the quadrilateral is 110 in. What is the length of its longest side?
15 = 3
m + 1 m
Example # 4
Solving a Proportion
Solve each proportion.
6=5
x 4
2x + 4 = x + 2
x
3
y + 4 = y
9
3
Formative Assessment
Solve each proportion.
9
a 2 = 14
January 07, 2015
1. To the nearest millimeter, a cell phone is 84 cm long and 46 mm wide. What is the ratio of the width to the length?
10 = x ­ 1
2
x
2. Two angle measures are in the ratio 5:9. Write expressions for the two angle measures in terms of the variable x.
3. What is the solution of the proportion?
20 = 5 z
3
2 = x + 4
x
16
Assignment: 7.1 # 9­37 odd
5