Modeling with Systems of Linear Inequalities — Unit test Answers

y = 5x + 23x = –y + 10

Which intervals show f(x) increasing? Choose two options.

Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards.

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

What is the y-value in the solution to this system of linear equations?4x + 5y = −12-2x + 3y = −16

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.

Consider the function represented by the graph.

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

The function f(x) is shown on the graph.

A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).

What is the solution to the system of equations?y = 2x – 3.5x – 2y = –14

What is the inverse of the function f(x) = x +3?