Math (Grades 8-12) Flashcards

What does the discriminant b squared minus 4ac tell you about a quadratic equation?

Answer: The number and type of solutions

The discriminant tells you the nature of solutions: positive gives 2 real solutions, zero gives 1 real solution, negative gives no real solutions.

Which of the following best describes an exponential growth function?

Answer: f(x) = 2 times 3 to the x power

An exponential function has the variable in the exponent: f(x) = 2 times 3^x is exponential growth (base 3 is greater than 1).

What are the x-intercepts of the parabola y = x squared minus 4?

Answer: x = -2 and x = 2

Set y=0: x^2 - 4 = 0, so x^2 = 4, and x = plus or minus 2. The x-intercepts are x = 2 and x = -2.

A student earns a MAP Growth RIT score of 245 in math. According to NWEA norms, approximately what grade level does this represent?

Answer: Grade 11-12

A RIT score of 245 in math exceeds typical grade 12 norms and represents advanced high school performance at approximately the Grade 11-12 level.

A line has equation 3x + 4y = 12. What is the x-intercept?

Answer: x = 4

Set y=0: 3x + 4(0) = 12, so 3x = 12, meaning x = 4. The x-intercept is 4.

Which of the following is equivalent to the expression 2(3x - 4) - (x + 5)?

Answer: 5x - 13

Distribute: 6x - 8 - x - 5 = 5x - 13.