Question 1

Which of the following is the correct algebraic expression for the phrase: 'Four more than the quotient of a number and 6'?

Accepted Answer

$$\frac{x}{6} + 4$$

Question 2

A chemical reaction produces 9 times the amount of a substance, but 9 units are lost in the process. Which expression models the final amount if $$x is $$the initial amount?

Accepted Answer

$$9x - 9$$

Question 3

Convert the mixed number $$8\frac{1}{5} to an $$improper fraction.

Accepted Answer

$$\frac{41}{5}$$

Question 4

A patient receives $$\frac{22}{9}$$ liters of fluid. How many full liters and what fraction remain?

Accepted Answer

$$2\frac{4}{9}$$

Question 5

Perform the operation: $$\frac{9}{4} \div \frac{4}{3}$$ and reduce to lowest terms.

Accepted Answer

$$\frac{27}{16}$$

Question 6

A recipe calls for $$\frac{1}{7}$$ cup of sugar and $$\frac{1}{4}$$ cup of honey. What is the total amount needed?

Accepted Answer

$$\frac{11}{28}$$

Question 7

Simplify the expression: $$2(5a + 4b) + 6(5a + 4b)$$

Accepted Answer

$$40a + 32b$$

Question 8

Which of the following numbers is an irrational number?

Accepted Answer

$$\sqrt{7}$$

Question 9

A meteorologist records a temperature of 5 degrees below zero. Which integer represents this temperature?

Accepted Answer

$$-5$$

Question 10

Insert $$ to make a true statement: -22$ ____ -11$

Accepted Answer

$$\u003c$$

Question 11

Which of the following is the correct equation for: 'The sum of three times a number and 4 is 16'?

Accepted Answer

$$3x + 4 = 16$$

Question 12

Simplify: $$-87$$

Accepted Answer

$$87$$

Question 13

Which of the following is the correct algebraic expression for 'Seven less than a number'?

Accepted Answer

$$x - 7$$

Question 14

A solution is prepared by mixing $$\frac{13}{5}$$ liters and $$\frac{3}{5}$$ liters. What is the total volume?

Accepted Answer

$$2$$

Question 15

Which of the following is the decimal representation of $$-\frac{7}{15}$$?

Accepted Answer

$$-0.46$$

Question 16

Perform the operation: $$\frac{9}{4} - 2\frac{2}{3} + 1\frac{1}{4}$$ and reduce to lowest terms.

Accepted Answer

$$\frac{5}{12}$$

Question 17

Which of the following is a rational number?

Accepted Answer

$$\frac{2}{7}$$

Question 18

A factory produces $$5(x + 7) = 38$$ widgets. What is the value of $$x$$?

Accepted Answer

Question 19

Which of the following is NOT a solution to the equation $$4(w + 3) = 5(w - 3)$$ when $$w = 6$$?

Accepted Answer

not a solution

Question 20

Perform the operation: $$\frac{3}{15} \div 3$$ and reduce to lowest terms.

Accepted Answer

$$\frac{5}{3}$$

Step-by-Step Guidance for Intermediate Algebra (College Algebra) Quiz 1

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