Fall Final Review

Front

Identify the slope and y-intercept of the equation: y = 1/5x + 5

Back

Slope: 1/5, Y-intercept: 5

Front

Solve the inequality: 5z - 2 - 2z < 13

Back

z < 5

Front

Solve the inequality: x + 5 ≤ 13

Back

x ≤ 8

Front

Find the slope of the line represented by the points (2, 3) and (6, -1)

Back

Slope: -5/4

Front

What inequality does the number line graph represent if it includes all numbers greater than or equal to -5?

Back

x ≥ -5

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the change in y divided by the change in x.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality sign using inverse operations.

Front

What does the solution x < 5 represent on a number line?

Back

It represents all numbers to the left of 5, not including 5 itself.

Front

Explain the difference between '≤' and '<'.

Back

'≤' means less than or equal to, while '<' means strictly less than.