MATH REVIEW QUIZ

Which of the following is NOT an example of a linear inequality in two variables?

•    y ≤ 3x + 4

• 0 > 2x +y

• 6y - 5x ≥ 2

• 3 + 11y = 7

Which of the following statements correctly describes the solutions to a linear inequality in two variables compared to a linear equation in two variables?                            

• The solution to both a linear inequality and a linear equation is a region on the graph.

• The solution to a linear inequality is a region of points on the graph, while the solution to a linear equation is a single point on the graph.

• The solution to a linear inequality is a line, while the solution to a linear equation is a region of points.

• The solution to a linear inequality is a single point on the graph, while the solution to a linear equation is a region of points on the graph.

Which of the following correctly defines a linear inequality in two variables?

• A mathematical expression involving the square of a variable. 

• A system of equations where the variables are related using absolute values.

• An equation that shows the relationship between two variables using only addition and subtraction.

• A mathematical expression that relates two expressions using an inequality sign <, ≤, ≥, or > instead of an equality sign.  

Which of the following linear inequalities do you expect to have a broken line graph?

• y ≥ 3x + 4

• y ≤ 5x

• y > -3x - 7

• y ≠ 1/3x + 5

In a given graph, how do you identify the solution set of the systems of inequalities?

• It is the region where the two regions overlap.

• It is the region where the two lines overlap.

• It is the region where the two solid lines overlap.

• It is the region where the two broken lines overlap.

When does systems of linear inequalities have no solutions?

• When both inequalities have the same boundary line.

• When the two boundary lines are parallel and the shading on the regions does not overlap.

• When the two inequalities have the same slope and y-intercept.

• When the two boundary lines are not parallel and the shading on the regions overlaps.

Which set of ordered pairs is a function?

• {(0, -1), (0, -2), (0, -3), (0, -4)}

• {(3, 2), (4, 2), (5, 3), (6, 4)}

• {(6, 2), (7, 3), (7, 3), (8, 4)}

• {(1, -1), (1, -2), (2, 1), (2, 2)}

Answer explanation

Which of the following does NOT represent a relation?

• {(1, 2), (3, 4), (-1, 0), (0, 9)}

• x + y = 11

• {4, 3, 2, 1, 0}

• a graph

In the equation y = 5x + 3, which variable is dependent and which is the independent?

• x is the independent, and y is the dependent

• y is the independent, and x is the dependent

• Both x and y are dependent

• Both x and y are independent

Wendy is selling cupcakes. The number of cupcakes she sells determines how much money she earns. Which of the following is the independent variable?

• amount of money Wendy earns

• the price of each cupcake

• the number of cupcakes sold

• the total cost of the cupcake ingredients