Lesson 61/62
Name the constant difference in this sequence:
1, 5, 9, 13, ...
What is adding 4?
What unit multipliers could be used to convert miles/hour into miles/minute?
What is 60 min/1 hour AND 1 hour/60 minutes?
Similar right triangles are _______ which is why we can use them to estimate heights and distances.
What is proportional?
Lillian saves $12 buying a rug on sale for $36.00. The sale price of the rug was what percent of the regular price?
What is 75%?
Y varies directly with x, if y is 16 and x is 8, what is the constant value k?
What is 2?
An open dot on a number line corresponds to this inequality symbol.
What is greater or less than?
What is 1/2 raised to the negative third power?
Maricruz wants to know the height of a flag pole. 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 flag pole is 30 m long. How tall is the flag pole?
What is 25 meters?
Two number cubes are rolled once. How many possible outcomes are there for which the first roll is even and the second roll is even?
What is 9?
Would the following situation be a direct variation:
You are paid $13 for each lawn you mow.
Is the following sequence arithmetic, geometric, or neither:
1, 2, 4, 8, 16, ...
What is geometric/multiply by 2?
What is 2/11 written as a decimal AND a percent?
What is 0.18 repeating and 18 2/11%?
In a 45-45-90 triangle, the side lengths always follow this ratio.
What is 1-1-square root 2?
The median price of a house in a neighborhood rose 20% in one year to $288,000. By how many dollars did the median price increase?
What is $48,000?
Driving at a constant speed, the distance Maggie travels varies directly with the amount of time she drives. If Maggie drives 75 miles in one and one-half hours, how long does it take her to drive 100 miles?
What is 2 hours?
If x is greater than -5, on its graph we would shade to the what?
What is the right?
Shannon rode her bike 6 miles in 24 minutes. Find her average rate in miles per hour.
What is 15 miles/hour?
Trevor took big steps to find the length of the shadow of the big pine tree in front of the school. He estimated that the shadow was 16 yards long, or about 48 feet. He also stepped off the shadow cast by the two-story school building and estimated that its shadow was 18 feet long. Trevor thinks the building is 24 feet tall. About how many feet tall is the big pine tree?
What is about 64 feet tall?
Suppose a bag contains 2 red and 3 blue marbles. Robert selects a marble from the bag, looks at it, then replaces it. Then he selects a second marble from the bag. What is the probability he selects a red marble and then a blue marble?
What is 6/25?
Which of the following situations would be considered a direct variation:
A A taxi company charges three dollars to start the ride plus two dollars per mile.
B The area of a square is the square of the length of its side.
C The perimeter of a square is four times the length of its side.
What is C?
Alisha has a number in mind. If she adds three to her number the result is less than five. Use this information to write AND solve an inequality about Alisha’s number.
The bill for the meal was $24.00. Dario left a tip of 16 2/3%. How much was the tip?
What is $4?
The shortest side of a 30-60-90 triangle is 5 inches. What are the lengths of the other sides?
What are 10 and 5 square root of 3?
The town’s population increased from 80,000 to 90,000 in ten years. What was the percent of increase?
What is 12.5%?
The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?
What is 5 cm?