ALGEBRA Semester 1 REVIEW

Front

Write the equation in point-slope form of the line that passes through the point (4, -7) with a slope of -1/4.

Back

y + 7 = -1/4(x - 4)

Front

What is the range of the function if the output values are between -4 and 5?

Back

-4 ≤ y ≤ 5

Front

Why do parallel lines never intersect?

Back

They have the same slopes.

Front

Solve the equation: 6(5x - 3) + 2 = 14.

Back

x = 1

Front

What is the y-intercept of the line represented by the equation y = 2x + 7?

Back

7

Front

Define point-slope form of a linear equation.

Back

Point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the difference between a function and a relation?

Back

A function is a relation where each input has exactly one output.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.