Real Numbers & Quantities
Name one example of a rational number.
Any fraction, integer, or terminating/repeating decimal (ex: 3/4)
Solve: x + 9 = 15
x = 6
What is the slope of y = 5x + 2?
5
What do you call lines with the same slope and different y-intercepts?
Parallel
What does slope represent in a distance vs. time graph?
Speed
Classify √36.
Rational, whole, integer (6)
Solve: 4x = 20
x=5
What is the y-intercept of y = −3x + 7?
(0, 7)
What is the slope of a horizontal line?
0
Write a linear model for: “$10 plus $3 per item.”
y = 3x + 10
Is −7 a natural number, whole number, integer, or rational number?
Integer and rational
Solve: 3x − 7 = 11
x = 6
Identify the slope and y-intercept of y = 2x − 1.
Slope = 2, y-intercept = −1
What is the slope of a vertical line?
Undefined
Determine if the data {(1,2), (2,4), (3,6)} is linear.
Yes
Explain the difference between rational and irrational numbers.
Rational numbers can be written as fractions; irrational cannot
Write an inequality for “at least 10.”
x ≥ 10
Write an equation with slope −4 and y-intercept 6.
y = −4x + 6
Are the lines y = 2x + 1 and y = 2x − 5 parallel, perpendicular, or neither?
Parallel
Is the number of students in a class discrete or continuous?
Is √5 rational or irrational? Explain why.
Irrational; cannot be written as a fraction
Solve and graph: −2x + 4 ≤ 10
x ≥ −3
A line passes through (0, −2) and (3, 4). Write its equation.
y = 2x − 2
How can you tell from equations if two lines are perpendicular?
Slopes are negative reciprocals
Given the table x: 0,1,2,3 and y: 5,7,9,11, write the function rule.
y = 2x + 5