Quiz about Linear Law Set 1

Question 1

Diagram given shows a linear graph of Y against $$x^2$$ , where x and y are related by the equation $$\frac{y}{x^2}=3x^2-15$$ .

State the gradient of the straight line.

Accepted Answer

m = 3

Answer

m = -3

Answer

m = 15

Answer

m = -15

Question 2

Diagram given shows a linear graph of Y against $$x^2$$ , where x and y are related by the equation $$\frac{y}{x^2}=3x^2-15$$ .

Given that points p and q are on the Y-axis and $$x^2$$ -axis respectively. Find the value of q.

Accepted Answer

q = 5

Answer

q = -15

Answer

q = -3

Answer

q = 15

Question 3

Diagram given shows a linear graph of Y against $$x^3$$ , where x and y are related by the equation $$\frac{1}{\sqrt[]{y}}=-x^3+2$$ .

State the Y in term of y.

Accepted Answer

Y= $$\frac{1}{\sqrt[]{y}}$$

Answer

Y= y

Answer

Y= $$\frac{1}{y}$$

Answer

Y= $$\frac{1}{y^2}$$

Question 4

Diagram given shows a linear graph of Y against $$x^3$$ , where x and y are related by the equation $$\frac{1}{\sqrt[]{y}}=-x^3+2$$ .

State the gradient of the straight line.

Accepted Answer

m = -1

Answer

m = 2

Answer

m = 1

Answer

m = -2

Question 5

Diagram given shows a linear graph of Y against $$x^3$$ , where x and y are related by the equation $$\frac{1}{\sqrt[]{y}}=-x^3+2$$ .

Given that points p and q are on the Y-axis and $$x^3-axis$$ respectively.

Find the value of q.

Accepted Answer

q = 2

Answer

q = 1

Answer

q = -1

Answer

q = -2

Question 6

Diagram given shows a linear graph of $$\frac{1}{y^2}$$ against X, where x and y are related by the equation $$\frac{1}{y}=\sqrt[]{3x^2-2}$$ .

State the X in term of x.

Accepted Answer

X = $$x^2$$

Answer

X = x

Answer

X = $$\sqrt[]{x}$$

Answer

X = $$x^3$$

Question 7

Diagram given shows a linear graph of $$\frac{1}{y^2}$$ against X, where x and y are related by the equation $$\frac{1}{y}=\sqrt[]{3x^2-2}$$ .

State the gradient of the straight line.

Accepted Answer

m = 3

Answer

m = -3

Answer

m = -2

Answer

m = 2

Question 8

Diagram given shows a linear graph of $$\frac{1}{y^2}$$ against X, where x and y are related by the equation $$\frac{1}{y}=\sqrt[]{3x^2-2}$$ .

Given that points p and q are on the $$\frac{1}{y^2}-axis$$ and X-axis respectively.

Find the value of q.

Accepted Answer

q = 2/3

Answer

q = 1/2

Answer

q = 3/2

Answer

q = 2

Question 9

The diagram shows a graph of $$y\sqrt[]{x}$$ against $$\frac{1}{\sqrt[]{x}}$$ .

State Y and X in term of y and/or x.

Accepted Answer

Y = $$y\sqrt[]{x}$$ ,

X = $$\frac{1}{\sqrt[]{x}}$$

Answer

Y = y , X = $$\frac{1}{\sqrt[]{x}}$$

Answer

Y = $$y\sqrt[]{x}$$ ,

X = $$\frac{1}{x}$$

Answer

Y = $$y\sqrt[]{x}$$ , X = x

Question 10

The diagram shows a graph of $$y\sqrt[]{x}$$ against $$\frac{1}{\sqrt[]{x}}$$ .

State the equation of the linear graph in

Y=mX+c.

Accepted Answer

$$y\sqrt[]{x}=-\frac{1}{2\sqrt[]{x}}+4$$

Answer

$$y\sqrt[]{x}=\frac{1}{2\sqrt[]{x}}-4$$

Answer

$$y\sqrt[]{x}=-\frac{1}{2\sqrt[]{x}}-4$$

Answer

$$y\sqrt[]{x}=\frac{1}{2\sqrt[]{x}}+4$$

Question 11

The diagram shows a graph of $$y\sqrt[]{x}$$ against $$\frac{1}{\sqrt[]{x}}$$ .

Express y in terms of x.

Accepted Answer

$$y=\frac{8\sqrt[]{x}-1}{2x}$$

Answer

$$y=\frac{8\sqrt[]{x}-1}{x}$$

Answer

$$y=\frac{8x-1}{2x}$$

Answer

$$y=\frac{8\sqrt[]{x}-1}{2x^2}$$

Question 12

The diagram shows a graph of $$\log_2\ y$$ against $$\log_2\ x$$ .

State the equation of the linear graph in

Y=mX+c.

Accepted Answer

$$\log_2\ y\ =\ -\log_2\ x\ +5$$

Answer

$$\log_2\ y\ =\ \log_2\ x\ +5$$

Answer

$$\log_2\ y\ =\ \log_2\ x\ -5$$

Answer

$$\log_2\ y\ =\ -\log_2\ x\ -5$$

Question 13

The diagram shows a graph of $$\log_2\ y$$ against $$\log_2\ x$$ .

Express y in terms of x.

Accepted Answer

y= $$\frac{32}{x}$$

Answer

y=5x

Answer

y= $$\frac{5}{x}$$

Answer

y=32x

Linear Law Set 1

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