RP2 Benchmark 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 using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

If a line has a slope of -3, what does this mean in terms of rise over run?

Back

A slope of -3 means that for every 1 unit you move to the right (run), the line goes down 3 units (rise).

Front

What is the cost per square foot if the total cost is $15 for 10 square feet?

Back

The cost per square foot is calculated as total cost divided by total area: $15 / 10 sq ft = $1.50 per square ft.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

Front

How do you represent the number of animals in a barn using equations?

Back

Let x be the number of horses and y be the number of chickens. The equations are x + y = total number of animals and 4x + 2y = total number of legs.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where m is the slope and b is the y-intercept.

Front

How can you determine which equation matches a given graph?

Back

You can determine this by identifying the slope and y-intercept from the graph and matching them to the equations provided.