MIDTERM EXAM - 8th grade 2024

Front

What is the formula for slope?

Back

The formula for slope is given by: \( m = \frac{y_2 - y_1}{x_2 - x_1} \) where \( m \) is the slope, \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line.

Front

What is the value on the bottom of the slope formula?

Back

The value on the bottom of the slope formula is \( x_2 - x_1 \).

Front

What is the value on the top of the slope formula?

Back

The value on the top of the slope formula is \( y_2 - y_1 \).

Front

How do you solve for the number of votes received by the loser in an election with 550 total votes and the winner receiving 220 more votes?

Back

Let the number of votes for the loser be \( x \). Then the winner has \( x + 220 \). The equation is: \( x + (x + 220) = 550 \). Solving gives \( x = 165 \). The loser received 165 votes.

Front

Back

To solve for x, multiply both sides by -7: \( x = -21 \).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change to the horizontal change between two points.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units.