02 Algebra Problem Set
ALGEBRA | PRACTICE PROBLEMS Complete the following problems to reinforce your understanding of the concept covered in this module.
PROBLEM 1: Solve the following problem 𝑦 = 2 + (3 ∙ 9): A. 7 B. 4 C. 25 D. 29
SOLUTION 1: The TOPIC OF ALGEBRA is not provided in the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. We must memorize this formula and understand its application independent of the NCEES Supplied Reference Handbook. We must first take care of the values in the parenthesis. 𝑦 = 2 + (3 𝑥 9) = 2 + (27)
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Then, we can move on to the addition of the other value. 𝑦 = 2 + (27) = 29
Therefore, the correct answer choice is D. 𝟐𝟗 PROBLEM 2: Solve the following problem 𝑦 = 4 ∙ (29 ∙ 6): A. 696 B. 2 C. 1,145 D. 57
SOLUTION 2: The TOPIC OF ALGEBRA is not provided in the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. We must memorize this formula and understand its application independent of the NCEES Supplied Reference Handbook. We must first take care of the values in the parenthesis. 𝑦 = 4 ∙ (29 ∙ 6) = 4 ∙ (174)
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Then, we can move on to the multiplication of the other value. 𝑦 = 4 ∙ (174) = 696
Therefore, the correct answer choice is A. 𝟔𝟗𝟔 PROBLEM 3: Solve for the variable “𝑐” 55 = 2 ∙ (4 + 𝑐 ): A. 44 B. 57 C. 23.5 D. 79
SOLUTION 3: The TOPIC OF ALGEBRA is not provided in the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. We must memorize this formula and understand its application independent of the NCEES Supplied Reference Handbook. At first glance, we know that we must isolate the variable “𝑐” in order to solve for the problem. First, we must divide by 2.
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55 = 2 ∙ (4 + 𝑐 ) 𝑆𝑜,
55 2
= 4+𝑐
Then, we can subtract 4 from both sides in order to find our answer. 27.5 = 4 + 𝑐 𝑆𝑜, 𝑐 = 27.5 − 4 = 23.5
Therefore, the correct answer choice is C. 𝟐𝟑. 𝟓
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PROBLEM 1: Solve the following problem 𝑦 = 2 + (3 ∙ 9): A. 7 B. 4 C. 25 D. 29
SOLUTION 1: The TOPIC OF ALGEBRA is not provided in the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. We must memorize this formula and understand its application independent of the NCEES Supplied Reference Handbook. We must first take care of the values in the parenthesis. 𝑦 = 2 + (3 𝑥 9) = 2 + (27)
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by Prepineer | Prepineer.com
Then, we can move on to the addition of the other value. 𝑦 = 2 + (27) = 29
Therefore, the correct answer choice is D. 𝟐𝟗 PROBLEM 2: Solve the following problem 𝑦 = 4 ∙ (29 ∙ 6): A. 696 B. 2 C. 1,145 D. 57
SOLUTION 2: The TOPIC OF ALGEBRA is not provided in the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. We must memorize this formula and understand its application independent of the NCEES Supplied Reference Handbook. We must first take care of the values in the parenthesis. 𝑦 = 4 ∙ (29 ∙ 6) = 4 ∙ (174)
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by Prepineer | Prepineer.com
Then, we can move on to the multiplication of the other value. 𝑦 = 4 ∙ (174) = 696
Therefore, the correct answer choice is A. 𝟔𝟗𝟔 PROBLEM 3: Solve for the variable “𝑐” 55 = 2 ∙ (4 + 𝑐 ): A. 44 B. 57 C. 23.5 D. 79
SOLUTION 3: The TOPIC OF ALGEBRA is not provided in the NCEES Supplied Reference Handbook, Version 9.4 for Computer Based Testing. We must memorize this formula and understand its application independent of the NCEES Supplied Reference Handbook. At first glance, we know that we must isolate the variable “𝑐” in order to solve for the problem. First, we must divide by 2.
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by Prepineer | Prepineer.com
55 = 2 ∙ (4 + 𝑐 ) 𝑆𝑜,
55 2
= 4+𝑐
Then, we can subtract 4 from both sides in order to find our answer. 27.5 = 4 + 𝑐 𝑆𝑜, 𝑐 = 27.5 − 4 = 23.5
Therefore, the correct answer choice is C. 𝟐𝟑. 𝟓
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