Lessons 61-75
The number that relates to variables in direct variation.
(Lesson 69)
Constant Proportionality
What sign does a closed circle represent on an inequality number line?
Less than or equal to and greater than or equal to.
A bag contains 2 red and three blue marbles. Robert selects a marble from the bag, looks at it, and then replaces it. Then he selects a second marble from the bag. What is the probability that he selected 1 red then 1 blue?
6/25
Use a unit multiplier to convert 120 miles per hour to miles per minute.
2 miles per minute
Simplify:
sqrt45
3sqrt5
A proportional relationship between two variables in which one variable is a constant multiple of the other.
(Lesson 69)
Direct Variation
0.4 44.4%
A traffic sign in the shape of an equilateral triangle has sides 12 in long. What is the area of the front of the sign?
36sqrt3units^2
Does y=3/2x represent direct variation?
True or False
True
Simplify:
sqrt108
6sqrt3
Constant ratio between terms.
(Lesson 61)
Geometric Sequence
1,5,9,13...
What are the next three numbers?
17,21,25
An item with a regular price of $15 is discounted 30%. What is the sale price?
Driving at constant speed the distance Maggie travels varies directly with the amount of time she drives. If Maggie drives 75 miles in one and a half hour, how long will it take her to travel 100 miles?
2 hours
Find the first three terms of the sequence given by the formula:
an=1+2n
3,5,7
The shingles on the south side of Tamika's roof needs to be replaced. The shingles she wants come in bundles that cover 33 1/3 square feet. Tamika calculates the area of the section of roof and then determines the number of bundles she needs. She wants to buy two extra bundles to allow for cutting and waste. What is the area of the section of roof and how many bundles should Tamika buy?
450 feet squared
16 bundles
A technique that uses a proportional relationship between given measures to calculate an unknown measure.
(Lesson 65)
Indirect Measure
Convert: 880 yards in two minutes to feet per minute.(round to the nearest whole number).
1320 ft/min
5/12-3/4*(9/5)^-1
0
Turn 10 yards per second to feet per minute.
1800 ft per minute
The base of a trapezoid is 14 meters and 26 meters. The height is 8 meters . What is the area of the trapezoid?
160 meters2
What is this formula used for?
(Lesson 75)
A=1/2(b_1+b_2)*h
Finding the area of a trapezoid
Write 83 1/3% as a fraction and as a decimal. (Round the decimal to the nearest hundredth).
83/100
0.83
Anne wants to know the height of a flagpole. She stands a meter stick in a vertical position and finds that the length of its shadow is 120 cm. At the same time, the shadow of the flagpole is 30 m long. How tall is the flagpole?
25 m
There are two concentric circles on the playground. The diameter of the larger circle is 40 percent greater than the diameter of the smaller circle. The area of the larger circle is what percent greater than the area of the smaller circle?
96 percent
A trapezoid has a height of 10 inches,bases of 5 inches and 20 inches. What is the area of the trapezoid?
125 inches2