Ratios and Proportions
What is a ratio? Give an example.
A ratio is a comparison of two quantities. Example: 3:4
What is an expression? Give an example.
An expression is a combination of numbers and variables without an equal sign. Example: 3x+23x+2.
What is the formula for the area of a rectangle?
Area = length × width
What is mean?
Mean is the average of a set of numbers.
What is probability?
Probability is the likelihood of an event occurring.
If a recipe calls for 2 cups of sugar to 3 cups of flour, what is the ratio of sugar to flour?
The ratio of sugar to flour is 2:3.
Simplify the expression: (3(x + 4) - 2).
Simplified expression: 3x+12−2 = 3x+10
How many degrees are in a triangle?
180 degrees
Find the median of the following set of numbers: 3, 5, 7, 9, 11.
Median is 7
If you roll a fair six-sided die, what is the probability of rolling a 4?
Probability of rolling a 4 is 1/6.
Solve for x.
3/4 = x/16
x=12
Solve for (y): (2y + 5 = 15)
y=5
Calculate the circumference of a circle with a radius of 7 cm. (Use pi approx 3.14)
Circumference = 2πr=2×3.14×7≈43.96 cm.
What is the mode of the following set of numbers: 1, 2, 2, 3, 4?
Mode is 2
What is the probability of drawing a heart from a standard deck of cards?
Probability of drawing a heart is 13/52 = 1/4
If 5 apples cost $2, how much would 15 apples cost?
$6
(If 5 apples cost $2, then 15 apples cost 155×2=6515×2=6)
What is the value of (x) in the equation (4x - 8 = 16)
x = 6
What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?
Volume = length × width × height = 4×3×5=604×3×5=60 cm³.
What is the range of the following set of numbers: 4, 8, 15, 16, 23?
Range is 19 (23 - 4).
If you flip a coin three times, what is the probability of getting exactly two heads?
Probability of getting exactly two heads is 3/8.
A map uses a scale of 1 inch to 50 miles. If two cities are 3 inches apart on the map, what is the actual distance between them?
The actual distance is 150 miles (3 inches × 50 miles/inch)
Write an equation to represent the following situation: The sum of twice a number and 5 is equal to 15.
The measure of the third angle is 70° (180° - 50° - 60°)
If two angles of a triangle are 50° and 60°, what is the measure of the third angle?
The measure of the third angle is 70° (180° - 50° - 60°).
Explain what a histogram is and what it represents.
A histogram is a type of bar graph that represents the frequency distribution of numerical data.
A jar contains 3 red, 2 blue, and 5 green marbles. What is the probability of randomly selecting a blue marble?
Probability of selecting a blue marble is 2/10 = 1/5 .