CATEGORY 1: SLOPE IT LIKE IT’S HOT
What’s the slope of a line that rises 3 units and runs 6 units?
1/2
Is the relation {(1,2), (2,3), (3,4)} a function?
Yes
Solve: x + 5 = 12
x=7
Solve: x + 4 > 10
x > 6
Simplify: 3²
9
What’s the slope of the line: y = 4x + 7?
4
What is the definition of a function?
A relation where each input has exactly one output
Solve: 2x – 4 = 10
x = 7
Solve: 3x ≤ 12
x ≤ 4
Simplify: (2³)(2²)
2⁵ = 32
Identify the y-intercept: y = –3x + 5
5
Is the equation y = x² a linear function?
No
What’s the solution to 3(x – 2) = 12?
x = 6
Solve: x – 5 < 2
x < 7
Use the rule to solve: (5²)³
5⁶
If a line passes through (2, 1) and (4, 5), what’s the slope?
2
Is the decimal 0.121212... rational or irrational?
Solve: –2(x + 3) = 10
x=-8
Write an inequality: “A number n is at most 10.”
n ≤ 10
Write 300,000 in scientific notation
3 × 10⁵
Describe the slope of a horizontal line.
0
Explain why √18 is irrational.
It cannot be simplified to a whole number or a fraction; its decimal is non-terminating and non-repeating.
A taxi charges $3 plus $2 per mile. Write an equation to represent the cost (C) for m miles.
C = 2m + 3
A number doubled and decreased by 3 is less than 11. Write and solve.
2x – 3 < 11; x < 7
Multiply: (4 × 10³)(2 × 10²)
8 × 10⁵