Ratios and Proportional Relationships
Are these ratios equivalent?
2:3 and 4:6
Yes
Write the word sentence as an equation:
5 less than a number b is 16.
b - 5 = 16
You left your house and walked 1.5 miles directly west. Then you walked 1.5 miles directly east. At this point, how many miles are you from your house?
0 miles
You randomly choose one number below.
10, 11, 12, 13, 14, 15, 16, 17, 18, 19
In how many ways can choosing an odd number less than 15 occur?
2
How many degrees are in one-third of a right angle?
30 degrees
There is 1 bus for every 32 students on a field trip. There are 96 students on the field trip. How many buses are needed?
3 buses
Solve for r
r - 3.2 = 1.7
r = 4.9
Determine the value of the expression
−3.45 + 4.23 − 7.55
-6.77
An inspector randomly selects 200 pairs of jeans and finds 5 defective pairs. About how many pairs of jeans do you expect to be defective in a shipment of 5000?
125 pairs (of jeans)
Given the formula C = 2𝜋r, find the circumference of a circle with a radius of 5 centimeters. Use 3.14 for 𝜋.
31.4 centimeters
The ratio of ages (in years) of two teachers is 8:9. The sum of their ages is 51. What is the age of each teacher?
24 and 27 years old
Solve for h
2h ÷ 15 = 20
h = 150
A student claimed that the expression −5+m is negative. Determine whether the student's claim is always true, sometimes true, or never true.
Sometimes true
You spend 100 minutes on homework each night from Monday through Friday. You spend 190 minutes on homework on Saturday. What is your mean daily number of minutes on homework?
115 minutes
Given the formula C = 2𝜋r, find the circumference of a circle with a diameter of 30 inches. Use 3.14 for 𝜋.
94.2 inches
You receive 9 text messages in 12 minutes. At that rate, how many text massages will you receive per hour?
45 text messages
A crew is picking up chairs in the gymnasium after an event. After clearing 217 chairs from the gym floor, 36 chairs still remain. Write an equation you can use to find the number of chairs placed on the gym floor for the event. (Use X as your variable)
x - 217 = 36
OR
36 +217 = x
OR
217 + 36 = x
A town’s low temperature for January was −8 ° Fahrenheit (°F). The difference between the town’s high temperature and low temperature for January was 25°F. What was the town’s high temperature, in degrees Fahrenheit, for January?
17 degrees Fahrenheit
You check 20 laser pointers at random. Three of the laser pointers are defective. What is the experimental probability that a laser pointer is defective? Write the answer as a percent.
15% chance
Given the formula, Surface Area = 2(wl + hl + hw), find the surface area of a rectangular prism with a length of 4.5 ft, a width of 2 ft and a height of 2 ft.
2(9+9+4) = 2(22) = 44 square feet
You had 28 red and blue marbles. The ratio of red to blue marbles is 1 : 6. How many blue marbles did you have?
24 blue marbles
Your uncle is 2 years older than 3 times your age.
Part A: You are x years old. Write an expression to describe your uncle's age.
Part B: You are 12 years old. How old is your uncle?
Part A: 2 + 3x OR 3x + 2
Part B: 38 years old.
One serving of yogurt is 2/3 of a cup. How many servings are in 2 cups?
3 servings
21 out of 75 students surveyed watch a movie once a week. There are 1200 students in the school. Estimate the number of students in the school who watch a movie once a week.
336 students
Angle JKL and angle MKQ are complementary angles. The measure of angle JKL is twice the measure of angle MKQ. Write one equation to find x, the measure of angle MKQ, and then solve for x.
2x + x = 90 or x + 2x = 90 or 3x = 90
x = 30 degrees