1. Algebra Review
Linear Equations — Quiz
Test your understanding of linear equations with 5 practice questions.
Practice Questions
Question 1
A linear function $f(x)$ is defined such that $f(x) = ax + b$. If the graph of the function passes through the points $(1, 5)$ and $(3, 11)$, what is the value of $b$?
Question 2
The total cost $C$ (in dollars) of a phone plan is given by the equation $C = 0.05m + 30$, where $m$ is the number of minutes used. If a customer's bill was $42.50$ dollars, how many minutes did they use?
Question 3
A system of linear equations is given by:
$$y = 2x - 3$$
$$y = -x + 6$$
What is the value of $x$ in the solution to this system?
$$y = 2x - 3$$
$$y = -x + 6$$
What is the value of $x$ in the solution to this system?
Question 4
The equation of a line is $2x + 3y = 18$. What is the slope of this line?
Question 5
A company's profit $P$ (in dollars) for selling $n$ units of a product is given by the linear equation $P = 15n - 500$. If the company wants to make a profit of $1000$ dollars, how many units must they sell?