Honors Linear Relationships End-of-Unit Re-Test

Front

What is the solution set for the inequality -4x - 3 ≥ 2x - 10?

Back

x ≤ 1 1/6

Front

What does the graph of a linear relationship with a starting point of 30 and a rate of change of 10 per hour look like?

Back

The graph should start at (0, 30) and have a slope of 10, indicating it rises 10 units for every 1 unit it moves to the right.

Front

How do you find the equation of a line given a table of values?

Back

Use the formula y = mx + b, where m is the rate of change (slope) calculated as change in y/change in x, and b is the y-intercept found when x = 0.

Front

What is the solution set for the inequality -2x - 3 ≥ -10?

Back

x ≤ 3.5, represented on a number line with a closed circle at 3.5 and a leftward arrow.

Front

What does the equation 8.25x + 15 = 64.50 represent in a word problem?

Back

It represents spending $64.50 at a baseball game, where $8.25 is spent per hot dog and $15 is for a souvenir cup.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, indicating the starting point of the linear relationship.

Front

How do you determine the slope of a line from a graph?

Back

The slope is determined by the rise over run, which is the change in y divided by the change in x between two points on the line.

Front

What is an inequality and how is it different from an equation?

Back

An inequality shows a relationship where one side is not necessarily equal to the other, using symbols like ≥, ≤, >, or <, while an equation shows equality using '='.

Front

What does an open circle on a number line indicate in the context of inequalities?

Back

An open circle indicates that the number at that point is not included in the solution set.

Front

What does a closed circle on a number line indicate in the context of inequalities?

Back

A closed circle indicates that the number at that point is included in the solution set.