Literal Equations Quiz

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| By Sstorla

Sstorla

Community Contributor

Quizzes Created: 2 | Total Attempts: 8,152

Questions: 10 | Attempts: 7,997 | Updated: Aug 25, 2023

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How good are you with literal equations? How well can you score in this literal equations quiz? A literal equation is meant by an equation that consists primarily of letters. Formulas are a very big example of literal equations. Each variable in the equation "literally" shows an important part of the whole relationship expressed by the equation. Give this quiz a try, and you will further hone your math skills. Good luck!

Questions and Answers

1.
- A.
  
  K=A-2c
- B.
  
  K=2-A/c
- C.
  
  K=2Ac
- D.
  
  K=A/2c
- E.
  
  K=A/(2c)
Correct Answer
E. K=A/(2c)

Explanation
The given equations represent different expressions for the variable "k" in terms of "A" and "c". The correct answer is "k=A/(2c)" because it is the only equation that correctly represents the division of "A" by twice the value of "c". The other equations either have incorrect operations or do not represent the given relationship between the variables.

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9
4
2.

If P = Q²•O, what's O in terms of P and Q?
- A.
- B.
- C.
  
  P - Q²
- D.
  
  P + Q²
- E.
  
  None of these
Correct Answer
A.

Explanation
The correct answer is P + Q2. This is because the equation P = Q2 * O can be rearranged to solve for O, which gives O = P / Q2.

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1
1
3.
- A.
  
  Q=3(R+H)
- B.
  
  Q=1/3R-H
- C.
  
  Q=3R-H
- D.
  
  Q=3(R-H)
- E.
  
  Q=1/3R+H
Correct Answer
D. Q=3(R-H)

Explanation
The given equation is Q=3(R-H). This equation represents a relationship between the variables Q, R, and H. It states that Q is equal to three times the difference between R and H. This means that Q will increase or decrease depending on the difference between R and H. If R is greater than H, Q will be positive, and if H is greater than R, Q will be negative. This equation does not involve any fractions or addition/subtraction of R and H, so the correct answer is Q=3(R-H).

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5
0
4.

If , then t equals
- A.
  
  Sr - 3x
- B.
  
  Sr + 2x
- C.
  
  Sr + 3x
- D.
  
  Sr - 2x
- E.
  
  None of these
Correct Answer
D. Sr - 2x
5.
- A.
  
  M=(B-T)/2
- B.
  
  M=T/2+B
- C.
  
  M=2T+B
- D.
  
  M=(T+B)/2
- E.
  
  M=T+B/2
Correct Answer
D. M=(T+B)/2

Explanation
The given equation M=(T+B)/2 represents the average of T and B. By adding T and B together and dividing the sum by 2, we obtain the average value. This equation is derived from the formula for calculating the average of two numbers.

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7
0
6.

If k = am + 3mx, what can the value of m in terms of a, k and x be expressed as?
- A.
  
  K/b + 3s
- B.
  
  K/a + 4s
- C.
  
  K/a - 3s
- D.
  
  K/a + 2s
- E.
  
  K/a + 3s
Correct Answer
E. K/a + 3s

Explanation
The expression given is k = am + 3mx. To find the value of m in terms of a, k, and x, we need to isolate m. We can start by rearranging the equation: k - 3mx = am. Then, we can divide both sides by a to get m = (k - 3mx)/a. This can be simplified to m = k/a - 3x. Therefore, the value of m in terms of a, k, and x is k/a - 3x.

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7.

If ba - cd = b, a represents?
- A.
  
  B + cd - b
- B.
  
  B + cd + b
- C.
  
  B + cd/b
- D.
  
  B + cd x b
- E.
  
  None of these
Correct Answer
C. B + cd/b

Explanation
The given equation is ba - cd = b. To find the value of a, we need to isolate it on one side of the equation. Adding cd to both sides, we get ba = b + cd. Dividing both sides by b, we get a = (b + cd)/b. Therefore, the expression b + cd/b represents the value of a.

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1
1
8.
- A.
  
  A=2s+2b
- B.
  
  A=2s-b
- C.
  
  A=b-2s
- D.
  
  A=1/2s-1/2b
- E.
  
  A=2s+b
Correct Answer
B. A=2s-b

Explanation
The given equation a=2s-b represents a linear relationship between the variables a, s, and b. It states that a is equal to twice the value of s minus the value of b. This means that as s increases, a will increase, and as b increases, a will decrease. The coefficient of 2 in front of s indicates that s has a greater impact on the value of a compared to b.

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3
1
9.

M = 1/k + n, f or k
- A.
  
  K = 1/m-n
- B.
  
  K = 2/m-n
- C.
  
  K = 1/n
- D.
  
  K = k = 1/m
- E.
  
  K = 3/m-n
Correct Answer
A. K = 1/m-n

Explanation
The equation given is m = 1/k + n. To isolate k, we need to get rid of the other variables. We can start by subtracting n from both sides, which gives us m - n = 1/k. To solve for k, we can take the reciprocal of both sides, resulting in k = 1/(m - n). Therefore, the correct answer is k = 1/m-n.

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10.
- A.
  
  Y=x-3/2
- B.
  
  Y=-2x-3
- C.
  
  Y=-x-3/2
- D.
  
  Y=-2x+3/2
- E.
  
  Y=-2x-3/2
Correct Answer
A. Y=x-3/2

Explanation
The given correct answer is y=x-3/2. This can be determined by comparing the equation with the given options. Among the options, y=x-3/2 is the only equation that matches the given equation y=x-3/2. Therefore, it is the correct answer.

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5
4