Ratios&Percents
What is the unit rate (per 1) for 15 miles in 3 hours?
5 miles
Evaluate the expression 3(4 + 2).
18
Find the area of a rectangle with length 8 units and width 6 units
48 units2
Compute: 7 × 8
56
Is the question "What is the favorite fruit of students in our class?" a statistical question? Explain yes or no.
yes it anticipates variability with student answers
If a shirt costs $40 and is on sale for 25% off, what is the sale price?
$30.00
Write an expression for "7 less than twice a number n."
2n-7
What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm? (Use formula.)
60 cm3
What is 34/12? Show work or model.
2.8333...
Give one measure of center and one measure of spread you could use to describe a data set of test scores.
center: mean or median
Spread: range or IQR
Make a table of equivalent ratios for 2:3 up to 5 times the pair; list the pairs.
2:3, 4:6, 6:9, 8:12, 10:15
Simplify using the distributive property: 5(2x + 3).
10x+15
A right triangle has base 6 cm and height 4 cm. Find its area.
12cm2
Find the least common multiple (LCM) of 8 and 12.
24
A data set has values: 3, 7, 7, 10, 12. What is the median and mode?
Median=7
Mode= 7
A recipe uses 3/4 cup sugar for every 2 cups flour. How much sugar is needed for 7 cups of flour? Show a ratio method or equation.
7/2x3/4=2.625
Solve the equation 4x + 5 = 29.
x=6
A rectangular prism has length 4.5 m, width 2 m, and height 1.5 m. Find its volume.
13.5 m3
Subtract: 12.5 − 3.75
8.75
Explain what a distribution's "spread" tells you about the data. Give a short example
Spread describes how spread out values are (e.g., range = max − min). Example: Test scores clustered around 85 have small spread; scores from 50 to 100 have large spread
A student scored 42 out of 50 on a test. What percent did they earn? Show work.
42/50=.84=84%
Write an equation relating distance d and time t for an object traveling at constant speed 12 miles per hour. Then find d when t = 2 1/2 hours.
2.5d=30
Draw (describe) a net for a rectangular prism and explain how you would calculate its surface area.
answers may vary
Order these rational numbers from least to greatest: −3, 1/2, 0, −1.5, 2/3. Explain your reasoning briefly.
-3, -1.5,1/2,2/3,0
You survey 30 students and record the number of books each student read last month. Describe two different graphical displays you could use to show the distribution and what each would highlight.
Options: histogram (shows frequency across intervals), dot plot (shows individual values), box-and-whisker plot (highlights median and IQR). Each highlights frequency, individual data points, or center/spread respectively.