Linear Equations
Solve: 3x + 5 = 20
x = 5
What is the slope of a line that rises 3 and runs 1?
3
Simplify: 2³ × 2²
2⁵ = 32
Find hypotenuse: legs 3 and 4
5
What type of correlation: as x increases, y increases?
Positive
Solve: 2(x − 4) = 10
x = 9
Find slope between (2, 3) and (6, 11)
2
Simplify: (3²)³
3⁶ = 729
Find hypotenuse: legs 6 and 8
10
What type: as x increases, y decreases?
Negative
Solve: 5x − 3 = 2x + 9
x = 4
What is the y-intercept of y = 4x − 7?
−7
Write 0.00045 in scientific notation
4.5 × 10⁻⁴
Find distance between (0,0) and (3,4)
5
What does no trend in a scatter plot mean?
No correlation
A gym charges $10 to join and $5 per visit. Write an equation for total cost y after x visits.
y = 5x + 10
Write equation of a line with slope 2 and y-intercept 5
y = 2x + 5
Simplify: 10⁶ ÷ 10²
10⁴
Volume of a cylinder with radius 3 and height 5 (use π ≈ 3.14)
≈ 141.3
If 3 out of 10 students prefer math, what is the probability?
3/10
Solve and interpret: 4x + 8 = 4x − 2
No solution (same slope, different constants)
A line passes through (1, 3) and has slope 4. Find the equation.
y = 4x − 1
Error Analysis: A student says 5² + 5³ = 5⁵. What’s wrong?
You can’t add exponents when adding—only when multiplying
A triangle has sides 5, 12, 13. Is it a right triangle? Explain.
Yes (5² + 12² = 13²)
In a table, 20 students: 12 like pizza, 8 like burgers, 5 like both. How many like only pizza?
7