ratios
Write the unit rate: 15 miles in 3 hours
5 miles per hour.
Simplify: 3 + 4 × 2.
11.
Which is greater: -3 or -7?
-3 is greater than -7.
What is a dot plot used to display
To show frequency of numerical data along a number line (dot plot/line plot)
Name a shape with 4 right angles and opposite sides equal
Rectangle (or square).
If a recipe uses 2 cups flour for every 5 cups sugar, how many cups of flour are needed for 15 cups sugar?
6 cups flour.
Use properties of operations to rewrite: 5(x + 2) as a sum.
5x + 10
What is the absolute value of -24?
24.
Give the median of the data set: 3, 7, 7, 9, 12.
7.
Find the perimeter of a rectangle with length 8 cm and width 5 cm.
Perimeter = 2(8 + 5) = 26 cm.
A car travels 210 miles in 3.5 hours. What is the speed in miles per hour? (Round to nearest tenth if needed.)
60.0 miles per hour
Solve for x: x + 7 = 19.
x = 12.
Place these on a number line order from least to greatest: -5, 2, -1, 4
-5, -1, 2, 4
A teacher records test scores: 80, 85, 90, 90, 95. Give the mean.
Mean = (80+85+90+90+95)/5 = 440/5 = 88.
Calculate the area of a triangle with base 10 cm and height 6 cm. (Use appropriate formula.)
Area = 1/2 × base × height = 12×10×6=30 cm221×10×6=30 cm2.
Solve by ratio reasoning: If 4 shirts cost $36, how much do 7 shirts cost at the same unit price?
$63. ($36 ÷ 4 = $9 per shirt; $9 × 7 = $63.)
Write an equation for this situation: Sara saves $8 each week. After w weeks she has s dollars.
s = 8w.
A diver is at -30 feet and goes up 18 feet. What is the new depth?
-12 feet. (-30 + 18 = -12)
Explain one way to display a single set of numerical data (name one plot type from 6th-grade standards).
Examples: dot plot, histogram, box plot.
If two angles of a triangle are 50° and 60°, what is the third angle?
70°.
A map scale shows 1 inch = 12 miles. If two cities are 3.75 inches apart on the map, how many miles apart are they?
45 miles. (1 in = 12 mi → 3.75 in × 12 = 45.)
Solve the equation: 4x = 28. Then write the solution as an inequality x ≥ ? if 4x must be at least 28.
x = 7; inequality: x ≥ 7.
Interpret: Which account shows a greater debt, -14 or -24? Explain using number line reasoning.
-24 shows a greater debt because it is farther left of 0 on the number line (greater absolute value 24 > 14
A box plot shows minimum 12, Q1 18, median 25, Q3 30, maximum 40. What is the interquartile range (IQR)?
IQR = Q3 − Q1 = 30 − 18 = 12.
A scale drawing uses 1 cm = 5 m. A model wall is 18 cm long. How long is the real wall in meters?
Answer key:
90 meters. (18 cm × 5 m/cm = 90 m)