How do you start a new problem on the CAS calculator?
Doc → 4 → 1
What should you do if the CAS calculator is stuck loading?
Hold the ON button.
How do you solve an equation using CAS?
Menu → Algebra (3) → Solve (1)
How do you define a function in the calculator?
Type f(x):= followed by the expression.
Formula for gradient between two points?
m = (y₂ - y₁) / (x₂ - x₁)
Formula for distance between two points?
√((x₂ - x₁)² + (y₂ - y₁)²)
Formula for midpoint between two points?
((x₁ + x₂)/2, (y₁ + y₂)/2)
What does x ∈ [a, b] mean?
x is between a and b, inclusive.
Simplify √72
6√2
Can you add 2√3 + 5√3?
Yes. The answer is 7√3
Can you add 2√3 + 5√2?
No. They are not like terms.
What is the exponential growth/decay formula?
A = P(1 ± r/100)^n
What does each letter mean in A = P(1 ± r/100)^n?
A: Final amount, P: Initial principal, r: Rate (%), n: Number of periods
What is the formula for the lower fence?
Q₁ - 1.5 × IQR
What does the slope of the regression line mean?
The average change in RV for every 1 unit increase in EV.
What is the correlation coefficient r?
A number showing the strength and direction of a linear relationship.
What does r² tell us?
The % of variation in the RV explained by the EV.
What kind of association does r = 0.8 show?
Strong, positive, linear.
What is DOPS and how is it written?
Difference of perfect squares: a² - b² = (a + b)(a - b)
How do you factorise x² + 6x + 9?
Recognise as a perfect square: (x + 3)²
How do you factorise using grouping?
Group terms into two pairs, factor each, then factor the common binomial.
What is completing the square?
Halve the middle term, square it, add and subtract it, then simplify.
When completing the square, what is the trick phrase to remember?
Halve it, square it, add it, subtract it.
