Algebra 1 Semester 1 Review

Front

What is the equation of the inequality represented by the line with slope \( \frac{1}{2} \) and y-intercept 4?

Back

The inequality is \( y > \frac{1}{2}x + 4 \).

Front

What is the equation of the line that has a slope of -2 and a y-intercept of 1?

Back

The equation is \( y = -2x + 1 \).

Front

When graphing an inequality, which symbols use a closed dot?

Back

Closed dots are used for the symbols \( \leq \) and \( \geq \).

Front

How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope \( m \) is calculated using the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Front

What inequality does the number line graph represent if it shows all values less than -4?

Back

The inequality is \( x < -4 \).

Front

What is the slope of the line that passes through the points (5,1) and (8,3)?

Back

The slope is \( \frac{2}{3} \).

Front

What is the general form of a linear equation?

Back

The general form is \( Ax + By = C \), where A, B, and C are constants.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and is represented by the equation \( x = k \), where k is a constant.

Front

What does it mean if a line is horizontal?

Back

A horizontal line has a slope of 0 and is represented by the equation \( y = k \), where k is a constant.

Front

How do you graph the inequality \( y < 3x + 2 \)?

Back

Graph the line \( y = 3x + 2 \) with a dashed line and shade below the line.