Modeling with Systems — Cumulative exam

Question 1

Solve for in the equation .

Revolt · Accepted Answer

x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Question 2

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?

Revolt · Accepted Answer

The customer buys 1 more pound of walnuts than almonds and 1 more pound of almonds than cashews.

Question 3

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

Revolt · Accepted Answer

x = –1

Question 4

If the discriminant of a quadratic equation is 4, which statement describes the roots?

Revolt · Accepted Answer

There are two real roots.

Question 5

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

Revolt · Accepted Answer

x – 5

Modeling with Systems — Cumulative exam Answers

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