Ratios and Proportions
What is the unit rate if a car travels 120 miles in 2 hours?
Answer: 60 miles per hour
What is the absolute value of -7?
Answer: 7
Simplify the expression: 3x + 5 + 2x - 1
Answer: 5x + 4
What is the area of a rectangle with a length of 8 cm and a width of 5 cm?
Answer: 40 square cm
What is the mean of the following data set: 2, 4, 6, 8, 10?
Answer: 6
Are the ratios 3:4 and 6:8 proportional? Explain why or why not.
Yes, they are proportional because they can both be simplified to the same ratio, 3:4.
Put these numbers in order from least to greatest: -5, 0, 3, -8, 2
Answer: -8, -5, 0, 2, 3
Solve for y: y + 8 = 15
Answer: y = 7
Two angles are supplementary. If one angle measures 60 degrees, what is the measure of the other angle?
Answer: 120 degrees
A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of drawing a blue marble?
Answer: 2/10 or 1/5
*** DAILY DOUBLE ***
A recipe calls for 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 36 cookies?
Answer: 6 cups of flour.
Solve: -4 + (-3) - (-6)
Answer: -1
Solve for m: 4m - 7 = 21
Answer: m = 7
A triangle has angles measuring 45 degrees and 75 degrees. What is the measure of the third angle?
Answer: 60 degrees
What is the median of the following data set: 15, 20, 10, 25, 12?
Answer: 15
The graph of a proportional relationship (the graph passes through the origin and is a straight line) passes through the point (4, 12). What is the constant of proportionality?
Answer: The constant of proportionality is 3. (y = kx, 12 = k * 4, k = 3)
A submarine is at a depth of -200 feet. It rises 75 feet. What is its new depth?
Answer: -125 feet
Write an equation for the following: "Five less than twice a number is ten."
Answer: 2n - 5 = 10
What is the circumference of a circle with a radius of 7 inches? (Use π = 3.14)
Answer: 44 inches
*** Daily Double ***
A spinner has 8 equal sections labeled 1 through 8. What is the probability of spinning an odd number?
Answer: 4/8 or 1/2
A store sells t-shirts for $15 each. They have a sale where if you buy 3 t-shirts, you get the 4th t-shirt for free.
What is the ratio of the number of t-shirts purchased to the total cost when buying 4 t-shirts?
The ratio is 4:45 (4 t-shirts : $45).
Write an expression that is equivalent to -2/3 ÷ (1/4)? Explain your reasoning.
Answer: -2/3 x 4. Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/4 is 4/1, or 4.
Solve for x: 2(x + 3) - 5 = 13
Answer: x = 6
A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 3 cm. What is its surface area?
Answer: 190 square cm
A student rolls a standard six-sided die twice. What is the probability that the sum of the two rolls is 7?
Answer: 6/36 or 1/6 (The combinations that sum to 7 are: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1)