Step Functions — Cumulative exam Answers

Which statements are true about the graph of the system of linear inequalities? Select two options.y > 3x – 4y 3x − 4 has shading above a dashed line.The graph of y < x + 1 has shading below a dashed line.The graphs of the inequalities will intersect.There are no solutions to the system.The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).

A ball is thrown straight up into the air. The table shows the data collected over t seconds, where h(t) is the height of the ball, in feet.

Which is true about the solution to the system of inequalities shown?y > 3x + 1y < 3x – 3

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Solve the inequality.2(4+2x)≥5x+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)?

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.

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)

The formula for the area of a triangle is , where b is the length of the base and h is the height.Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

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

Which ordered pairs are in the solution set of the system of linear inequalities?y > x + 2y < 2x + 3

What is the x-value of the solution to the system of equations?5x + 4y = 82x − 3y = 17

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.2.3p – 10.1 = 6.4p – 42.3p – 10.1 = 6.49p – 4230p – 1010 = 650p – 400 – p23p – 101 = 65p – 40 – p2.3p – 14.1 = 6.4p – 4

A family uses 12,986.64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage?1 US dollar = 0.9019 Swiss francs1 Swiss franc = 1.11 US dollar

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function.What is the value of y when x=5.7?