Algebra 1

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line containing points (2, -1) and (3, 5)?

Back

The slope is 6.

Front

What is the result of simplifying the expression -3(x - 3) + 6(x + 1)?

Back

The result is 3x + 15.

Front

What is the product of (4x^9)(5x^-5)?

Back

The product is 20x^4.

Front

What is a function in mathematical terms?

Back

A function is a relation where each input (x) has exactly one output (y).

Front

What is the result of multiplying the binomials (5a - 4)(3a - 7)?

Back

The result is 15a^2 - 47a + 28.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you find the y-intercept of a linear equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.