Algebra 1 Midterm review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

How do you solve the inequality 3x + 2 ≤ 5(x − 4)?

Back

First, distribute: 3x + 2 ≤ 5x - 20. Then, rearrange to get: 2 + 20 ≤ 5x - 3x, which simplifies to 22 ≤ 2x, or x ≥ 11.

Front

What is the graphical representation of the inequality y ≥ -3x + 4?

Back

The graph includes the line y = -3x + 4 and all the points above this line.

Front

What is the formula for solving for a in the equation a = pw?

Back

To solve for a, you multiply p (the price) by w (the weight).

Front

How do you determine the y-intercept of the function y + 3 = 6x?

Back

Rearranging gives y = 6x - 3, so the y-intercept is -3.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you graph the equation y = 2/3x - 1?

Back

Start at the y-intercept (0, -1) and use the slope (rise/run = 2/3) to find another point.

Front

What does it mean for a function to have the same y-intercept?

Back

It means that both functions cross the y-axis at the same point (same value of y when x = 0).