Question 1

A publisher printed 90 million pages last year, which was a 125% increase over the previous year. How many million pages were printed the previous year? (Round to the nearest hundredth million if necessary.)

Accepted Answer

$$72.00$$ million

Question 2

Solve for $$C in $$the formula $$F = \frac{9}{5}C + 32.$$

Accepted Answer

$$C = \frac{5}{9}(F - 32)$$

Question 3

Which of the following relations is NOT a function?

Accepted Answer

$$\{(29, -2), (4, -1), (4, 0), (5, 1), (13, 3)\}$$

Question 4

A chemist needs $$160 mL of a$$ $$64\%$$ solution but only has $$59\%$$ and $$75\%$$ solutions available. How many milliliters of the $$59\%$$ solution should be used?

Accepted Answer

$$110 mL$$

Question 5

Factor the polynomial $$3xy + 6x + 8y + 16$$ completely.

Accepted Answer

$$(3x + 8)(y + 2)$$

Question 6

Find the domain of the function $$f(x) = \frac{1 - 2x}{x^2$ - 18x + 77}.$$

Accepted Answer

$$\{x|x 
eq 11, x 
eq 7\}$$

Question 7

A vendor sells hot dogs and bags of potato chips. A customer buys $$2$$ hot dogs and $$2$$ bags of chips for $$\6.50$. Another customer buys 4$ hot dogs and 5$ bags of chips for $$\$$14.25. $$What is the cost of one hot dog?

Accepted Answer

$$\2.00$

Question 8

Simplify the radical expression $$\sqrt[3]{-64a$$^{14}$$b^7$$}$, assuming all variables represent positive real numbers.

Accepted Answer

$$-4a^4b^2$ \sqrt[3]{a^2$b}$

Question 9

Use the quadratic formula to solve $$3x^2 + 10x + 6 = 0$.

Accepted Answer

$$x = -5 \pm \frac{\sqrt{7}}{3}$$

Question 10

A baker can decorate the day's cookie supply four times as fast as his new assistant. If they decorate all the cookies working together in $$16$$ minutes, how long would it take the assistant alone?

Accepted Answer

$$80$$ minutes

Question 11

Which of the following lines is perpendicular to $$5x - 7y = 5$$?

Accepted Answer

$$7x + 5y = 41$$

Question 12

Simplify $$\frac{25y^2$ - 9x^2$}{xy} \div \frac{5}{x} - \frac{3}{y}.$$

Accepted Answer

$$3x + 5y$$

Question 13

Solve the system: $$4x + 3y = 28$$ and $$2x + 3y = 38.$$

Accepted Answer

$$(-5, 16)$$

Question 14

Which of the following is the correct factorization for $$49x^2$$ - $$4y^2$$?

Accepted Answer

$$(7x + 2y)(7x - 2y)$$

Question 15

A trail mix is made by mixing $$10$$ pounds of trail mix at $$\5$ per pound with 30$ pounds of cashews at $$\$$13$$ per pound to make a $$40-$$pound mixture selling for $$\11$ per pound. What is the value of the cashews used?

Accepted Answer

$$\390$

Question 16

Find $$f(-4)$$ for $$f(x) = 2x^2$ + 5x - 6.$$

Accepted Answer

$$6$$

Question 17

Which of the following is the correct solution for $$2x^2 = -12x - 3$ using the quadratic formula?

Accepted Answer

$$x = -6 \pm \frac{\sqrt{30}}{2}$$

Question 18

Simplify $$\sqrt[3]{625a^4$b^9$$}$.

Accepted Answer

$$5ab^3$$

Question 19

If $$f(x) = 2x^2$ - 4x - 1$$, what is $$f(1)$$?

Accepted Answer

$$-3$$

Intermediate Algebra Final Exam Review Guidance

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