math reasoning midterm

Front

What is the graph of y=x²?

Back

A parabola that opens upwards with its vertex at the origin (0,0).

Tags

CCSS.HSF-IF.C.7A

Front

What is the graph of y=-2x+1?

Back

A straight line with a slope of -2 and a y-intercept of 1.

Front

What is a solution in the context of equations?

Back

A point (x, y) that satisfies the equation when substituted.

Front

What is the y-intercept of a graph?

Back

The point where the graph crosses the y-axis, represented as (0, b).

Front

How do you find the product of (3x - 6)(7x + 7)?

Back

Use the distributive property (FOIL) to get 21x² - 21x - 42.

Tags

CCSS.HSA.APR.A.1

Front

What does the variable 'n' represent in compound interest formulas?

Back

The number of times interest is compounded per year.

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Tags

CCSS.HSA-REI.B.4B

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x), often represented as m.

Tags

CCSS.8.EE.B.5