Algebra 1 Benchmark 1 Review

Front

What is the Range in a set of values?

Back

The Range is the difference between the highest and lowest values in a set. For example, if the lowest value is -7 and the highest is 2, the range is -7 ≤ y ≤ 2.

Front

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

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

How do you interpret the y-intercept in the equation y = 8x + 25?

Back

The y-intercept is 25, which represents the initial fee charged by the T-shirt design company.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you solve for y in the equation 4x + 2y = 16?

Back

To solve for y, isolate y: 2y = 16 - 4x, then y = -2x + 8.

Front

What is the process to simplify the expression 9 - 4(8 - 3) + 10 ÷ 2?

Back

First, calculate inside the parentheses: 8 - 3 = 5. Then, multiply: 4 * 5 = 20. Next, divide: 10 ÷ 2 = 5. Finally, combine: 9 - 20 + 5 = -6.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

Front

What is the difference between '>' and '≥'?

Back

'>' means 'greater than' (not including the number), while '≥' means 'greater than or equal to' (including the number).

Front

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

Back

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

Front

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

Back

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