7.NS: Applying Properties and Operations of Rational Numbers
What is the absolute value of -12?
12
Solve 5x = 20
x = 4
give a ratio that is equivalent to 8/24
1/3, 2/6, 4/12, 16/48, etc.
Define rational number
A rational number is any number that can be expressed as a fraction of two integers, where the numerator is a non-zero integer. They can be written as terminating or repeating decimals.
If Ian walks 3 miles per hour, then how many miles does he walk in 4 hours?
12 miles
12.5 - (-7.5) =
20
Combine like terms in this expression: 3x + 2x + 5 - 3y - 2 + y
5x - 2y + 3
Fill in the blanks:
A graph of a proportional relationship must be ________ and must go through the _______.
A graph of a proportional relationship must be LINEAR and must go through the ORIGIN.
What are "like terms"?
terms that contain the same variable raised to the same power
2 - 6.7 * 8.9 - 12.5 =
-70.13
Solve 3x + 7 = 31
x = 8
If Jose eats 36 gummy bears every 4 days, then what is the unit rate, in gummy bears per day?
unit rate: 9 gummy bears per day
Define variable
A variable in mathematics is a symbol — usually a letter like x or y — representing an unknown number or a value that can change.
If the scale on a map states that 1 inch corresponds to 2.5 miles, then how many inches corresponds to 12.5 miles?
5 inches
What is a proportion?
an equation stating that two ratios are equivalent
If the area of a square is 4 square inches, and it is scaled by a scale factor of 2, what is the area of the enlargement?
16 square inches
What are inverse operations?
Inverse operations in mathematics are pairs of operations that "undo" or reverse each other's effects, acting as opposites to return a value to its original state.