Sanchez-CP TSIA Practice Test

Front

What is the equation of a line that passes through the point (-1, 2)?

Back

The equation can be in the form y = mx + b, where m is the slope and b is the y-intercept. However, if the line is vertical, it can be represented as x = -1.

Front

What is the solution to the equation 2x + 5 = 8x?

Back

The solution is x = 10/6 = 5/3.

Front

How do you calculate the probability of selecting a male from a group of 4 males and 8 females?

Back

Probability = (Number of males) / (Total number of individuals) = 4 / (4 + 8) = 1/3.

Front

What is the factored form of x^4 - 16?

Back

The factored form is (x + 2)(x - 2)(x^2 + 4).

Front

What are the solutions to the quadratic equation x^2 + 8x + 15 = 0?

Back

The solutions are x = -3 and x = -5.

Front

What is the slope-intercept form of a line?

Back

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

Front

What does it mean for an equation to have no solution?

Back

An equation has no solution when the variables cannot satisfy the equation, such as parallel lines in a system of equations.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax² + bx + c = 0.

Front

What is the definition of a vertical line?

Back

A vertical line is a line that goes straight up and down and has an undefined slope, represented by the equation x = a.