Fall Final Review Part II

Front

What does the equation |x - 7| = 4 represent in terms of maximum and minimum values?

Back

The equation |x - 7| = 4 indicates that x can be 4 units away from 7, leading to maximum and minimum values of 11 and 3.

Front

What is the Quadratic Formula?

Back

Front

How do you solve the equation -x^2 - 4x - 3 = 0 using the Quadratic Formula?

Back

Using the Quadratic Formula, the solutions are x = -1 and x = -3.

Front

What is the cost of adult, student, and staff tickets in the given problem?

Back

Adult tickets cost $8.00, student tickets cost $4.00, and staff tickets cost $2.00.

Front

If there are 500 tickets sold and 60 fewer staff tickets than student tickets, how can you express this relationship mathematically?

Back

Let s be the number of student tickets. Then, staff tickets can be expressed as s - 60.

Front

What is the total revenue generated from ticket sales if adult, student, and staff tickets are sold?

Back

The total revenue is calculated by the equation: 8a + 4s + 2(staff) = 3120.

Front

What does a system of linear equations represent?

Back

A system of linear equations represents multiple linear relationships that can be solved simultaneously to find the values of the variables.

Front

How do you identify the coefficients in a linear equation?

Back

In the equation 2x + y + z = -2, the coefficients are 2 (for x), 1 (for y), and 1 (for z).

Front

What is the significance of the number H in a system of equations?

Back

H represents a specific coefficient or constant in the system that is necessary for solving the equations.

Front

How do you apply the Quadratic Formula to the equation 2x^2 + 2x - 12 = 0?

Back

By applying the Quadratic Formula, the solutions are x = 2 and x = -3.