Quarter 2 Benchmark Review

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 solve for y in the equation 3x - 2y < 10?

Back

Rearranging gives y > (3/2)x - 5.

Front

What is the maximum number of tomato and pepper plants that can be bought with $60 if tomatoes cost $4 and peppers cost $3?

Back

The combination of 6 tomato plants and 11 pepper plants is possible.

Front

What does the inequality y > -1/5x - 1/2 represent graphically?

Back

It represents the area above the line y = -1/5x - 1/2.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable.

Front

What is the solution to the system of equations -x + y = -13 and -8x - 4y = -8?

Back

The solution is (5, -8).

Front

What does it mean for a system of inequalities to be consistent?

Back

A consistent system has at least one solution, meaning the graphs intersect at some point.

Front

How do you graph the inequality 3x - 2y < 10?

Back

First, graph the line 3x - 2y = 10, then shade below the line.

Front

What is the difference between 'greater than' and 'greater than or equal to' in inequalities?

Back

'Greater than' does not include the boundary line, while 'greater than or equal to' includes it.

Front

What is a feasible region in the context of linear programming?

Back

The feasible region is the area on a graph where all constraints of the inequalities are satisfied.