2024 A2 Semester 1 EXAM B

Front

What is the general form of a square root function?

Back

The general form of a square root function is f(x) = √(x - h) + k, where (h, k) is the vertex of the graph.

Front

What does the graph of the equation y = 6 represent?

Back

The graph of the equation y = 6 represents a horizontal line at y = 6.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does the compound inequality 3m + 7 ≥ 16 mean?

Back

It means that the expression 3m + 7 is greater than or equal to 16. You can solve it to find the values of m that satisfy this condition.

Front

What is the vertex of a square root function?

Back

The vertex of a square root function is the point (h, k) in the function f(x) = √(x - h) + k, where the graph starts.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots of a quadratic equation: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a, where 'a' is a constant.

Front

How do you solve a system of equations graphically?

Back

To solve a system of equations graphically, plot both equations on the same graph and identify the point(s) where they intersect.

Front

What is the process for simplifying an algebraic expression?

Back

To simplify an algebraic expression, combine like terms, apply the distributive property, and reduce fractions if possible.