Cumulative Exam — Cumulative exam Answers

What is the value of x in the proportion below?

Kadesha is simplifying the expression below.She lists the steps that she uses to simplify the expression as follows:Step 1: Distribute –1 through , and distribute –2 through .Step 2: Rewrite the expression as .Step 3: Combine –x and –2x, and combine –3 and –2.Step 4: The simplified expression is .In which step did Kadesha make the first error?

Sara wants to find the input value that produces the same output for the functions represented by the tables.

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

If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete?

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.

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue PaintWhite PaintMixture A5 cups12 cupsMixture B6 cups6 cupsMixture C4 cups12 cupsMixture D5 cups6 cupsWhich mixture has the highest ratio of blue paint to white paint?

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue PaintWhite PaintMixture A5 cups12 cupsMixture B6 cups6 cupsMixture C4 cups12 cupsMixture D5 cups6 cupsWhich mixture has the lowest ratio of blue paint to white paint?

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

Rico represents the inequality with the sentence “The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16.” Which describes Rico’s error?

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negative 2, 2), (1, 3), (1, negative 2), (2, 1), (5, negative 4).

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

Solve the equation.–x + 8 + 3x = x – 6

What is the value of x in the proportion below?

Based on the table below, what is the relationship between cups and tablespoons?VolumeCupsTablespoons4645806967112

A decorator is setting up for a reception. She purchases 10 containers of flowers with n flowers in each container. She divides the total number of flowers evenly among the centerpieces. If there are t centerpieces, which expression represents the number of flowers that each centerpiece will contain?

What is the value of the expression when n = 12?

Which numbers are irrational? Check all that apply.