Cumulative Exam — Cumulative exam Answers

Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?

Which graph shows h(x) = (f(x)) + (g(x))?

Which expression is equivalent to ?

The constraints of a problem are listed below. What are the vertices of the feasible region?

If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

What is the excluded value of x for ?

Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar?

If what is the value of w in terms of x and y?

Which expression is equivalent to ?

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

The table below shows the number of days, y, needed to complete a project as a function of the number of full-time staff, x, working on the project. Which rational function best models the data in the table?People Working, xDays, y36218489612

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

The perimeter of a rectangular pool is more than 62 meters, and the width is at least 10 meters less than the length. Which system of inequalities represents the possible length in meters, l, and the possible width in meters, w, of the pool?

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A website is having a sale of 15% off the price, x, of regular-priced items. For its loyalty club members, the site is offering an additional 15% off the sale price. An 8% shipping and handling fee is then added to the discounted price to determine the final cost. The functions below represent each part of a loyalty member’s purchase.Sales price: S(x) = 0.85xLoyalty member discount: L(S) = 0.85SFinal cost: C(L) = 1.08L

If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?

What is the quotient?

The base of the parallelogram, b, can be found by dividing the area by the height.