Welcome to your Math – Module 2
1.
Solve for x: 3x^2 + 2x - 5 = 0 using the quadratic formula.
3.
If f(x) = x^2 - 6x + 8, what is the vertex of the parabola?
5.
If 3x - 7 = 2x + 5, what is the value of x?
6.
A car rental service charges $50 per day and an additional $0.20 per mile driven. If a customer drives 150 miles in one day, what is the total cost?
7.
If 5 workers can complete a task in 12 days, how many days would it take for 3 workers to complete the same task, assuming they work at the same rate?
8.
Find the value of z if 2z + 3 = 3z - 4.
9.
If 7 - 4p = 3p + 2, what is the value of p?
10.
A rectangle has a length that is twice its width. If the perimeter of the rectangle is 54 units, what is the width of the rectangle?
11.
What is the solution to the equation 5(x - 2) = 3x + 4?
12.
The preceding table defines a linear function. What is the value of n?
15.
This table shows the heights of the five starting players in tonight’s playoff basketball game between Corpus Christi Academy and St. Bartholomew’s High School. Which of the following is the most accurate statistical interpretation of the data in this table?
17.
A train travels from City A to City B at a speed of 60 miles per hour. If the total distance between the two cities is 180 miles, how long will the journey take?
18.
A cyclist travels at a constant speed of 15 miles per hour. If they start at 9:00 AM and need to travel 45 miles, at what time will they arrive at their destination?
19.
For the quadratic equation x^2 + 4x + c = 0, if one of its roots is 2, what is the value of c?
20.
Solve for y: 4y + 9 = 25 - 2y.
21.
The function f(x) = -x^2 + 4x + 5 opens in which direction and what is the y-coordinate of the vertex?
22.
What are the roots of the quadratic equation 2x^2 - 4x - 6 = 0?
