Question 1

Otis buys 3 pairs of socks at $$1.85 each and a T-shirt for 8.95. If $$the sales tax is 6%, how much change does Otis receive from a $20 bill?

Accepted Answer

Question 2

A bag of almonds costs $2.80 per pound. What is the cost per ounce in cents?

Accepted Answer

$$17.5$$ cents

Question 3

Given the points $$(2,4)$$, $$(2,-1)$$, and $$(0,-1)$$, what is the length of the hypotenuse of the right triangle formed by these points?

Accepted Answer

$$\sqrt{29}$$

Question 4

A swimming pool has 60 people, with a resident to visitor ratio of $$2:3. $$How many visitors are there?

Accepted Answer

$$36$$

Question 5

Which of the following statements about roots is TRUE?

Accepted Answer

A positive number has two square roots, one positive and one negative.

Question 6

Which of the following numbers is NOT a rational number?

Accepted Answer

$$\sqrt{2}$$

Question 7

Solve for $$x in $$the equation $$0.75x = 2.4.$$

Accepted Answer

$$x = 3.2$$

Question 8

Which of the following is an ordered pair on the graph of $$y = x - 2$$?

Accepted Answer

$$(1, -1)$$

Question 9

Multiply $$(4.8 	imes 10$$^{-10}$$)(6 	imes 10$$^{-6}$$)$$ and write the answer in proper scientific notation.

Accepted Answer

$$2.88 	imes 10$$^{-15}$$

Question 10

A composite figure consists of a rectangle with length $$8$$ units and width $$3$$ units, and a semicircle with radius $$1.5$$ units attached to one end. What is the total area? (Use $$\pi = 3.14)$$

Accepted Answer

$$24 + 3.5325 = 27.5325$$ $$units^2$

Question 11

Find the volume of a cylinder with diameter $$10$$ units and height $$4$$ units. (Use $$\pi = 3.14)$$

Accepted Answer

$$314$$ $$units^3$

Question 12

Solve for $$x in $$the literal equation $$x + c = d.$$

Accepted Answer

$$x = d - c$$

Question 13

Solve the inequality $$6x + 8 \u003c 14.$$

Accepted Answer

$$x \u003c 1$$

Question 14

Evaluate $$25 - [3^2$ + 2(5 - 3)]$$ using the order of operations.

Accepted Answer

$$12$$

Question 15

Evaluate $$4^0$$ + $$3^{-1}$$ + $$2^2.$$

Accepted Answer

$$1 + \dfrac{1}{3} + 4 = \dfrac{16}{3}$$

Question 16

Which equation correctly isolates $$n in$$ $$an = b$$?

Accepted Answer

$$n = \dfrac{b}{a}$$

Question 17

Which of the following is the cube root of $$-64$$?

Accepted Answer

$$-4$$

Question 18

Which of the following decimals is rational?

Accepted Answer

$$0.333\ldots$$

Question 19

If a rectangle has a length of $$l$$ and width $$w$$, and a circle has radius $$r$$, which formula gives the total area if the rectangle and circle are combined (not overlapping)?

Accepted Answer

$$A = lw + \pi r^2$

Question 20

Which of the following is the correct graphing interpretation for the solution to $$x \u003c 1$$?

Accepted Answer

An open circle at $$1$$ with shading to the left

Comprehensive Study Notes: Key Concepts in Beginning and Intermediate Algebra

Study Guide - Practice Questions

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