Literal Equations Quiz

1)

If P = Q²•O, what's O in terms of P and Q?

P - Q2

P + Q2

None of these

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.

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.

2) M = 1/k + n, f or k

K = 1/m-n

K = 2/m-n

K = 1/n

K = k = 1/m

K = 3/m-n

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.

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.

3)

If

, then t equals

Sr - 3x

Sr + 2x

Sr + 3x

Sr - 2x

None of these

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Explanation

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4) If ba - cd = b, a represents?

B + cd - b

B + cd + b

B + cd/b

B + cd x b

None of these

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.

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.

5)

A=2s+2b

A=2s-b

A=b-2s

A=1/2s-1/2b

A=2s+b

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.

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.

6)

M=(B-T)/2

M=T/2+B

M=2T+B

M=(T+B)/2

M=T+B/2

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.

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.

7)

Q=3(R+H)

Q=1/3R-H

Q=3R-H

Q=3(R-H)

Q=1/3R+H

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).

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).

8)

If k = am + 3mx, what can the value of m in terms of a, k and x be expressed as?

K/b + 3s

K/a + 4s

K/a - 3s

K/a + 2s

K/a + 3s

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.

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.

9)

K=A-2c

K=2-A/c

K=2Ac

K=A/2c

K=A/(2c)

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.

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.

10)

Y=x-3/2

Y=-2x-3

Y=-x-3/2

Y=-2x+3/2

Y=-2x-3/2

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.

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.