Ratios and Proportions
A recipe calls for 3 cups of flour and 2 cups of sugar. What is the ratio of flour to sugar? Write the ratio in three different ways and simplify it, if possible.
The ratio of flour to sugar is 3:2, 3/2, or 3 to 2.
Write an algebraic expression for the following statement:
"The cost of a movie ticket, c, is increased by $5.50."
c + 5.50
A triangle has a base of 10cm and a height of 6 cm. What is the area of the triangle?
30 cm squared
A data value that is significantly higher or lower than the rest of the data points, often skewing the mean.
What is an Outlier?
What is Mr. Topil's favorite animal?
Penguin
Maria drove 210 miles in 3.5 hours. What was her average speed in miles per hour (mph)?
Her average speed was 60 mph.
Evaluate the expression 4x - 9 when x = 5
11
A rectangle has vertices at A(2, 6), B(2, 1), C(8, 1), and D(8, 6) on a coordinate plane. What is the perimeter of the rectangle?
22 units
The numerical part of a term that contains a variable, like the 5 in 5x
What is a Coefficient?
How many siblings does Mr. Topil have?
3
A school cafeteria sells apples and bananas at a ratio of 5:3. If the cafeteria sold 45 bananas, how many apples did they sell?
The cafeteria sold 75 apples.
Use the Distributive Property to write an equivalent expression for 7(4n + 2).
28n + 14
A storage container is in the shape of a rectangular prism. It has a length of 5ft, a width of 4ft, and a height of 2.5ft. What is the volume of the container?
50 ft cubed
The amount of two-dimensional space that an object covers, typically measured in square units.
What is Area?
What is the last movie Mr. Topil watched?
Coco
Find the value of N that makes the following ratios equivalent:
9/12 = N/4
N = 3
Which of the following expressions is equivalent to 10y + 15y + 3?
a) 25y + 3
b) 28y
c) 25(y+3)
d) 28y + 3
A
Identify the quadrant in which the following ordered pair is located: (-15, 8)
Quadrant 2
The distance a number is from zero on a number line; it is always a non-negative value.
What is Absolute Value?
Who is Mr. Topil's favorite football player?
Patrick Mahomes
The students in a math class prefer science fiction to fantasy books at a ratio of 4:7. If there are 33 students in the class, how many prefer fantasy?
21 students prefer fantasy.
Identify the terms, coefficients, and constant in the expression 12m - 6k + 1
Terms: The parts of the expression separated by addition or subtraction are 12m, -6k, and 1.
Coefficients: The numerical factors multiplied by the variables are 12 and -6
Constant: The term without a variable is 1
What is the formula for area of a circle?
pi * radius-squared
A rate where the second quantity in the comparison is one unit, such as miles per one hour.
What is a Unit Rate?
What is Mr. Topil's favorite Holiday?
Christmas