2024 1st Semester Exam

Front

What is the solution to the system of equations: -2x - 2y - z = 4, 2x + 2y - 6z = 10, x - 2y + 3z = −13?

Back

(-3, 2, -2)

Front

If JoAnn works as a baby-sitter for $3 per hour and as a tutor for $6 per hour, what are the inequalities representing her work hours and earnings if she can work a maximum of 15 hours and wants to earn at least $66?

Back

b + t < 15 and 3b + 6t > 66

Front

What is the composition of the functions f(x) = 5x and g(x) = 2x - 1, expressed as f(g(x))?

Back

10x - 5

Front

What does it mean to find the inverse of a function?

Back

The x's and y's are switched.

Front

Which point is a solution to the equation? (0, 6), (-3, 4), (1, 0), (-4, 3)

Back

(1, 0)

Front

What is a function?

Back

A relation that assigns exactly one output for each input.

Front

What is the definition of a linear equation?

Back

An equation that forms a straight line when graphed.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation ax^2 + bx + c = 0.