Algebra 1 Semester Review

Front

Find the slope of the line through the points (-2,1) and (2,3).

Back

Front

Solve the equation -2x - 7 = 13.

Back

To solve for x, first add 7 to both sides: -2x = 20. Then divide by -2: x = -10.

Front

Simplify the expression -5(3x + 2).

Back

Distribute -5: -5 * 3x - 5 * 2 = -15x - 10.

Front

What is the slope of the line parallel to y = 4x - 1?

Back

The slope of a line in the form y = mx + b is m. Therefore, the slope of the line parallel to y = 4x - 1 is 4.

Front

Evaluate the function f(x) = 3x + 4 at x = 2.

Back

f(2) = 3(2) + 4 = 6 + 4 = 10.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one. It can be written in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

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

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the formula for the slope between two points?

Back

The formula for the slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Front

What is the difference between a function and a relation?

Back

A function is a special type of relation where each input (x-value) has exactly one output (y-value).