slope
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours he is at an altitude of 700 feet. What is the average rate of change?
75 feet per hour
Ally made a scale drawing of her bedroom. She used a scale factor of 2 centimeters = 1.5 feet. If her drawing measures 10 cm x 15 cm, what are the actual dimensions of her room?
7.5 ft x 11.25 ft
Angles 2 and 6 are what types of angles? What does that mean?
corresponding angles are congruent or the same angle degrees
Name this shape and tell why you know what type it is:
A scalene triangle because all three sides and angles are different
Ryan needs a new bicycle tire. His tire has an area of about 254.34 square inches. What is the circumference of his tire? Use 3.14 for pi.
C= 56.52”
Does the table below represent a proportional relationship? Why or why not?
Yes, because the ratio of profit to tickets sold remains consistent.
Emily wants to make a scale drawing of her backyard. The actual dimensions measure 30 feet in length and 20 feet in width. If she uses a scale factor of .5 inch = 2 feet, what will the dimensions of her scale drawing be?
7.5in x 5in
If angle 1 measures 60 degrees, what does angle 4 measure? Why?
Angle 4 is also 60 degrees because they are vertical angles
Which type of triangle has three congruent angles? What does each angle measure?
equilateral triangle, 60 degrees
Todd enclosed his circular garden bed with 37.68 feet of plastic edging. What is the area of his garden? Use 3.14 for pi.
A= 113.04 ft2
Annie earns $320 for 8 hours of work. At that rate, how long would she have to work to earn $1,120?
28 hours
Next weekend you are going to hiking at Sabino Canyon. On the trail map you notice it says that 1.5 centimeters equals 2 miles. If Telephone Line Trail is 9 centimeters on the map, how far is it in real life?
12 miles
What is the measurement of angle x?
80 degrees
Which of the following lengths will NOT create a triangle? Why?
The radius of the white circle is 4 cm and the radius of the grey circle is an additional 3 cm. What is the area of the grey section only?
103.62 cm2
The graph provided represents the speed of a caterpillar. What does Point B represent?
The caterpillar traveled 3 feet in 30 seconds.
What is the actual distance from math class to the library if you follow the path shown in the table?
87.5 feet
Use the diagram to find the unknown angle measurements.
missing angles: 55 degrees, 55 degrees, 125 degrees
x = 20
Given the side lengths, 4 and 6, what is a possible length of a third side?
A. 11
B. 10
C. 2
D. 3
3
The diameter of Santa's cookie (large) is 3.3 in. But Rudolph's (small) cookie has a diameter of 2.6 inches. What is the difference in the circumference of the two cookies?
2.198 in
What is the proportional relationship between time and distance in the table?
1/7
In 1 hour the distance is 7 km
What is the actual distance from the library to lunch?
25 feet
Using the drawing, find the unknown angle measurement. (Write an equation and solve for x.)
x = 18.75
In a given triangle, two sides measure 9 inches and 15 inches. Between which two measurements would the third side fall? Represent your answer as an inequality.
x > 6 and x < 24
The distance around a carousel is 21.98 yards. What is the radius?
3.5 yards