7th and 8th Semester Exam

Front

In the equation y=mx+b, what does the m represent?

Back

m represents the slope of the line.

Front

What is the y-intercept of the function y=mx+b?

Back

The y-intercept is the value of y when x=0.

Front

Simplify the expression: (4a^3 - 8a - 4a^2) + (7a^3 - 7 - 6a)

Back

11a^3 - 4a^2 - 14a - 7

Front

Which expression is equivalent to 36m^2-100?

Back

4(3m-5)(3m+5)

Front

Find the best fitting quadratic model for the data given: 1.2x^2 + 13x + 504.3

Back

1.2x^2 + 13x + 504.3

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y=mx+b.

Front

What does the term 'quadratic' refer to in mathematics?

Back

Quadratic refers to a polynomial of degree 2, typically in the form ax^2 + bx + c.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.

Front

What is the formula for the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: two real and distinct, one real and repeated, or two complex.