Question 1

Which of the following numbers is an irrational number?

Accepted Answer

$$\sqrt{2}$$

Question 2

What is the result of $$-52 + (-38)$$, and what does it represent in a real-world context if these are dollars spent?

Accepted Answer

$$-90$$, representing a total expenditure of $90

Question 3

According to the addition rule for two numbers with the same sign, what is the sum of $$-8 + (-15)$$?

Accepted Answer

$$-23$$

Question 4

If the temperature is $$-25^\circ F$$ and rises by $$10^\circ F$$, what is the new temperature?

Accepted Answer

$$-15^\circ F$$

Question 5

Which of the following best describes the rule for adding two numbers with different signs?

Accepted Answer

Subtract their absolute values and use the sign of the number with the larger absolute value.

Question 6

You buy a drink for $$1.75 and a burrito for 4.20. If $$you pay with a $10 bill, how much change do you receive?

Accepted Answer

$$3.95$$

Question 7

Victoria has $$739.52 in her savings account. She deposits 214.86. $$How much does she have now?

Accepted Answer

$$954.38$$

Question 8

What is the result of $$5 	imes (-90)$$, and what does it represent if you write a check for rent each week?

Accepted Answer

$$-450$$, representing a total payment of $450 for rent

Question 9

Which of the following is the correct rule for determining the sign of a product when multiplying or dividing integers?

Accepted Answer

The answer is positive if there is an even number of negative signs.

Question 10

Multiply $$0.07 	imes 0.8$$ and select the correct answer.

Accepted Answer

$$0.056$$

Question 11

Reduce $$\frac{28}{70} to $$lowest terms.

Accepted Answer

$$\frac{2}{5}$$

Question 12

Find the least common denominator (LCD) of $$\frac{11}{24}$$ and $$\frac{7}{9}.$$

Accepted Answer

$$72$$

Question 13

Build an equivalent fraction to $$\frac{7}{15}$$ with a denominator of $$45.$$

Accepted Answer

$$\frac{21}{45}$$

Question 14

Which of the following is a prime number?

Accepted Answer

$$17$$

Question 15

What is the sum of $$-19 + 4$$?

Accepted Answer

$$-15$$

Question 16

Which of the following is the correct decimal representation of $$\frac{5}{8}$$?

Accepted Answer

$$0.625$$

Question 17

If you subtract $$24.39 - 7.8$$, what is the correct answer?

Accepted Answer

$$16.59$$

Question 18

Which of the following is the correct equivalent fraction for $$\frac{11}{12}$$ with a denominator of $$60$$?

Accepted Answer

$$\frac{55}{60}$$

Question 19

If you have $$3/4 of a $$pizza and your friend has $$6/8 of a $$pizza, who has more pizza?

Accepted Answer

Both have the same amount of pizza.

Question 20

What is the opposite of $$-9$$?

Accepted Answer

$$9$$

Guided Study Notes: Beginning and Intermediate Algebra Essentials

Study Guide - Practice Questions