540 likes | 667 Views
Factoring and Solving. Ratio, Proportion, And Geometric Mean. Application of Proportions. Proportionality Theorems. Triangle Similarity. $100. $100. $100. $100. $100. $200. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $400. $400. $400. $500.
E N D
Factoring and Solving Ratio, Proportion, And Geometric Mean Application of Proportions Proportionality Theorems Triangle Similarity $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500
Factor: 6x2 – 7x – 5 ($100 )
(2x + 1)(3x – 5) ($100)
Solve and find the roots. 7x2 – 57x + 8 = 0 (200)
Answer X = 1/7 or 8 (200)
State the coordinates (x, y) for the equation. 0 = 36x2 - 9 (300)
(1/2, 0) and (-1/2, 0) (300)
Multiply and Simplify: (4x – 2)(5x + 3) (400)
Answer: 20x2 + 2x – 6 (400)
Multiply and Simplify: (x – 2)(x + 3)(x + 4) (500)
Answer: x3 + 5x2 – 2x – 24 (500)
The area of a rectangle is 720 in2. If the ratio of the length to width is 5:4, find the perimeter of the rectangle. (100)
Answer: 108 in. (100)
AC = 1562 (200)
The geometric mean of the quantities (x + 1) and (x – 6) is (x – 2). Find the value of x. (300)
X = -10 (300)
The ratio of the perimeters of two triangles is 4/7. What is the ratio of the triangles’ areas? (400)
Area ratio is 16/49. (400)
In the U.S., 4634 million lbs. of apples were consumed in 2002. The population of the U.S. that year was 290 million. What was the per capita consumption? (500)
About 16 lbs. per person (500)
Scale factor: 1/3 x:18 y:12 (100)
The lengths of the legs of right ∆ ABC are 3 ft and 4 ft. The shortest side of ∆UVW is 4.5 ft and ∆UVW~∆ABC. How long is the hypotenuse of ∆UVW? (200)
7.5 ft (200)
12 and 108 (300)
12 (400)
Two similar posters have a scale factor of 4:5. The large poster’s perimeter is 85 inches. Find the small poster’s perimeter AND the ratio of their areas. (500)
Small perimeter = 68 in Area ratio = 16/25 in2 (500)
24 (100)
78 (200)
Find x and y (300)
X = 3 Y = 8.4 (300)
Find the value of x. (400)
X = 4.5 (400)
AG = 2 2/3 FC = 7.5 ED = 11.25 AE = 10 (500)
The vertical angles are congruent. By third angle Theorem, 3rd angles are congruent. So ∆s are similar. (100)
X = 3 1/3 Y = 4 2/3 (200)
900,000 km (300)
Round to 100th place (400)
KM = 13.33 in MN = 6.67 in. LM = 8.67 in. MP = 4.33 in (400)