Solving Algebraic Word Problems
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5a + 2 + 7
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This quiz titled 'Solving Algebraic Word Problems' assesses skills in solving linear equations and understanding algebraic expressions. It includes problems on solving for unknown variables and determining dimensions from given perimeters, enhancing algebraic problem-solving abilities.
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The perimeter of a pool table is 30 feet. The table is twice as long as it is wide. What is the length of the pool table?Write an equation for this situation. Then solve.
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-2d + 7 = 22 Solve the equation.
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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?
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4 ounces
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6 ounces
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3.2 ounces
Correct Answer
A. 4 ouncesExplanation
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:
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- 5.
9 = 5 + 4r Solve for r.
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R = 1
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R = 1.47
Correct Answer
A. R = 1Explanation
9 = 5 + 4r
4 = 4r
1 = rRate this question:
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- 6.
Chose the following answer that is correct.
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2n + 3n + 2 = -41 n= 8.6
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4(2a +2) - 17 = 15 a= 3
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-w + 4(w+3) = -12 w= 0
Correct Answer
A. 4(2a +2) - 17 = 15 a= 3Explanation
A) 2n + 3n + 2 = -41
5n + 2 = -41
5n = -43
n = -8.6
The given solution n = 8.6 is incorrect.
B) 4(2a + 2) - 17 = 15
8a + 8 - 17 = 15
8a - 9 = 15
8a = 24
a = 3
The given solution a = 3 is correct.
C) -w + 4(w + 3) = -12
w + 4w + 12 = -12
3w + 12 = -12
3w = -24
w = -8
The given solution w = 0 is incorrect.Rate this question:
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- 7.
4a + 1 = 13 Solve for a.
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A = -3
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A = 3
Correct Answer
A. A = 3Explanation
On the actual test, watch out for positive and negative charges. And if time allows you, check your answer.Rate this question:
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- 8.
Chose the first step you would do in the following equation. 24 - x = -16
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Adding X to both sides would be your first step.
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Subtracting 24 to both sides would be the first step.
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Adding 24 to both sides would be the first step.
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Adding 16 to both sides would be the first step.
Correct Answer
A. 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:
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- 9.
Solve this equation 4s - 13 = 51
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S = 16
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S = 9.5
Correct Answer
A. S = 16Explanation
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:
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- 10.
2x + 23 = 49
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X = 28
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X = 13
Correct Answer
A. X = 13Explanation
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:
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Current Version
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Jul 22, 2024Quiz Edited by
ProProfs Editorial Team -
Feb 18, 2014Quiz Created by
Tbutler2013
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