# Solving Algebraic Word Problems

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Tbutler2013
T
Tbutler2013
Community Contributor
Quizzes Created: 3 | Total Attempts: 1,585
Questions: 10 | Attempts: 868

Settings

• 1.

• 2.

• 3.

• 4.

### Chose the following answer that is correct.

• A.

2n + 3n + 2 = -41 n= 8.6

• B.

4(2a +2) - 17 = 15 a= 3

• C.

-w + 4(w+3) = -12 w= 0

B. 4(2a +2) - 17 = 15 a= 3
Explanation
The given equation is 4(2a + 2) - 17 = 15. To solve this equation, we first simplify the expression inside the parentheses by multiplying 2 with each term, which gives us 4a + 8. Then, we substitute this simplified expression back into the equation, resulting in 4(4a + 8) - 17 = 15. Next, we distribute the 4 to each term inside the parentheses, giving us 16a + 32 - 17 = 15. We simplify further by combining like terms, which gives us 16a + 15 = 15. Finally, we isolate the variable by subtracting 15 from both sides of the equation, resulting in 16a = 0. By dividing both sides by 16, we find that a = 0/16 = 0. Therefore, the correct answer is 4(2a + 2) - 17 = 15, and a = 3.

Rate this question:

• 5.

### To mail a first class letter, the U.S. Postal Service charges are \$.34 for the first ounce and \$.21 for each additional ounce. It costs \$1.18 to mail your letter. How many ounces does your letter weigh?

• A.

4 ounces

• B.

6 ounces

• C.

3.2 ounces

A. 4 ounces
Explanation
To calculate the cost of mailing the letter, we need to subtract the initial charge of \$0.34 from the total cost of \$1.18. This leaves us with \$0.84, which represents the additional cost for the extra weight of the letter. Since each additional ounce costs \$0.21, we can divide \$0.84 by \$0.21 to find the number of additional ounces. The result is 4, indicating that the letter weighs 4 additional ounces. Therefore, the total weight of the letter is 4 ounces.

Rate this question:

• 6.

### 9 = 5 + 4r Solve for r.

• A.

R = 1

• B.

R = 1.47

A. R = 1
Explanation
9 = 5 + 4r
4 = 4r
1 = r

Rate this question:

• 7.

### 4a + 1 = 13 Solve for a.

• A.

A = -3

• B.

A = 3

B. A = 3
Explanation
On the actual test, watch out for positive and negative charges. And if time allows you, check your answer.

Rate this question:

• 8.

### Chose the first step you would do in the following equation. 24 - x = -16

• A.

• B.

Subtracting 24 to both sides would be the first step.

• C.

Adding 24 to both sides would be the first step.

• D.

Adding 16 to both sides would be the first step.

B. Subtracting 24 to both sides would be the first step.
Explanation
In order to isolate the variable x, the first step would be to get rid of the -24 on the left side of the equation. Subtracting 24 from both sides would cancel out the -24 on the left side, leaving us with -x = -40.

Rate this question:

• 9.

### Solve this equation 4s - 13 = 51

• A.

S = 16

• B.

S = 9.5

A. S = 16
Explanation
By solving the equation 4s - 13 = 51, we want to find the value of s that satisfies the equation. To isolate the variable s, we add 13 to both sides of the equation, resulting in 4s = 64. Then, we divide both sides by 4 to solve for s, giving us s = 16. Therefore, the correct answer is S = 16.

Rate this question:

• 10.

### 2x + 23 = 49

• A.

X = 28

• B.

X = 13

B. X = 13
Explanation
The given equation states that 2 times x, plus 23, equals 49. To find the value of x that satisfies this equation, we need to isolate x on one side of the equation. By subtracting 23 from both sides, we get 2x = 26. Dividing both sides by 2, we find that x = 13. Therefore, the correct answer is x = 13.

Rate this question:

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

• Current Version
• Mar 22, 2023
Quiz Edited by
ProProfs Editorial Team
• Feb 18, 2014
Quiz Created by
Tbutler2013

Related Topics