Unit Test — Cumulative exam Answers

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

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?

A line of best fit is drawn for the set of points shown on the graph.

The table shows the shoe sizes of women of different ages.

The table shows the average number of hours of daylight per day for the last four months of the year.

What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 –30x2?

What is the range of the function f(x) = −(x + 3)2 + 7?

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). Her work is shown.Which best describes the first error in Jan'ai's work?

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

What is the greatest common factor of 4xy2 and 20x2y4?

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.Marcel converts the frequency table to a conditional relative frequency table by row.Which value should he use for Y? Round to the nearest hundredth.

Which is equivalent to , and what type of special product is it?

The data set represents the number of snails that each person counted on a walk after a rainstorm.12, 13, 22, 16, 6, 10, 13, 14, 12What is the outlier of the data?

Which data set has an outlier?

The table shows a company’s profit based on the number of pounds of food produced.

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has?

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?

Consider the quadratic function y = (x – 2)2 + 5. Which statements are true about the function and its graph? Select two options.