Question 1

A nurse must give a child $$\frac{3}{2}$$ tablespoons of medicine per day, divided equally into 4 doses. How much medicine should be given at each dose?

Accepted Answer

$$\frac{3}{8}$$ tablespoon

Question 2

A car uses $$15\frac{1}{2}$$ gallons of gasoline to travel 310 miles. What is the car's miles per gallon (mpg)?

Accepted Answer

$$20$$ mpg

Question 3

Simplify the expression $$\frac{2x-6}{4x-12}.$$

Accepted Answer

$$\frac{1}{2}$$

Question 4

A laptop costs $$650 and the sales tax is 5$$\%$. What is the total cost including tax?

Accepted Answer

$$682.50$$

Question 5

Which of the following graphs represents a function?

Accepted Answer

The graph of $$y = x^2$

Question 6

Given the function $$f(x) = x^2$ - 6x + 8$$, what are the $$x-$$intercepts of the parabola?

Accepted Answer

$$(4, 0)$$ and $$(2, 0)$$

Question 7

A student invests $$5800 in two funds, one at 3.5$$\%$$ and one at 5.5$$\%$$ simple interest, to earn 283$ in interest in one year. What is the smallest amount that can be invested at 5.5$$\%$ to meet this goal?

Accepted Answer

$$4000$$

Question 8

Simplify $$\sqrt{16x^2$}$$ for any real number $$x.$$

Accepted Answer

$$4|x|$$

Question 9

Which of the following is the correct scientific notation for $$2,061,000,000$$?

Accepted Answer

$$2.061 	imes 10^9$

Question 10

A rectangular garden is to be fenced on three sides (the fourth side is a barn) with $$120$$ feet of fencing. What dimensions maximize the area?

Accepted Answer

Width $$= 30 ft$$, Length $$= 60 ft$$

Question 11

Which of the following is the correct solution to $$2x^2 - 4 = 0$?

Accepted Answer

$$x = \pm \sqrt{2}$$

Question 12

A flare is fired upward from a boat. Its height after $$t$$ seconds is $$h(t) = -16t^2$ + 96t + 5. At $$what height does it explode (maximum height)?

Accepted Answer

$$149$$ feet

Question 13

Which of the following is the correct simplification of $$\left(\frac{y^9$}{x$$^{20}$$}\$$right)^{1/2}$$?

Accepted Answer

Question 14

Which of the following is the correct domain for the function $$f(x) = \sqrt{x-1}$$?

Accepted Answer

$$[1, \infty)$$

Question 15

Which of the following is the correct solution to the equation $$-2.4 + t = 5.6$$?

Accepted Answer

$$t = 8$$

Question 16

Which of the following is the correct value for $$| -3 |$$?

Accepted Answer

$$3$$

Question 17

Which of the following is the correct solution to $$5 + 7x = 42$$?

Accepted Answer

$$x = 7$$

Question 18

Which of the following is the correct simplification of $$\sqrt[3]{-125}$$?

Accepted Answer

$$-5$$

Question 19

Which of the following is the correct solution to $$-8x = -72$$?

Accepted Answer

$$x = 9$$

Guided Study for Prealgebra, Beginning Algebra, & Intermediate Algebra (with Relevant Images)

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