Quiz about Grade 9 Sem 2 Midterm Review

Question 1

Identify ALL the pairs of equations of the line that are parallel.

Accepted Answer

$$y\ =\ 2x\ +\ 8$$

$$y\ =\ 2x$$

Accepted Answer

$$3x\ +\ y\ =\ 9$$

$$6x\ +\ 2y\ =\ 14$$

Answer

$$y\ =\ 3x\ -\ 5\ $$

$$y\ =\ -\frac{1}{3}x\ +\ 8$$

Answer

$$4x\ +\ y\ =\ 10$$

$$y\ =\ 4x\ -\ 8$$

Question 2

Simplify the following: $$\frac{15a^5}{9b^2} imes\frac{b^8}{45a^2}$$

Accepted Answer

$$\frac{a^3b^6}{27}$$

Answer

$$\frac{a^3b^4}{27}$$

Answer

$$\frac{a^3b^4}{9}$$

Answer

$$\frac{a^3b^6}{9}$$

Question 3

Simplify the following: $$\frac{-12a^5b^6}{4b^9} imes\frac{16b^3}{36a^9}$$

Accepted Answer

$$\frac{-4}{3a^4}$$

Answer

$$\frac{-4b^9}{3a^4}$$

Answer

$$\frac{-4b}{3a^4}$$

Answer

$$-\frac{4a^4}{3}$$

Question 4

Simplify the following: $$\frac{5x^2+10x}{3x\ +\ 6}$$

Accepted Answer

$$\frac{5x}{3}$$

Answer

$$\frac{5\left(x^2+2x\right)}{3\left(x+2\right)}$$

Answer

$$\frac{5x+2}{3}$$

Answer

$$\frac{5}{3x}$$

Question 5

Simplify the following: $$\frac{x^2+6x\ +\ 8}{x^2-4x-12}$$

Accepted Answer

$$\frac{x+4}{x-6}$$

Answer

$$\frac{x+4}{x+6}$$

Answer

$$\frac{x+2}{x-6}$$

Answer

$$\frac{x+4}{x+2}$$

Question 6

Write the following as a single fraction in its simplest form.

$$\frac{2}{x+3}+\frac{4}{x-5}$$

Accepted Answer

$$\frac{2\left(3x+1\right)}{\left(x+3\right)\left(x-5\right)}$$

Answer

$$\frac{2\left(3x-2\right)}{\left(x+3\right)\left(x-5\right)}$$

Answer

$$\frac{2\left(3x-1\right)}{\left(x+3\right)\left(x-5\right)}$$

Answer

$$\frac{6x-22}{\left(x+3\right)\left(x+5\right)}$$

Question 7

Write the following as a single fraction in its simplest form.

$$\frac{4}{x-1}-\frac{5}{3x}$$

Accepted Answer

$$\frac{7x+5}{3x\left(x-1\right)}$$

Answer

$$\frac{7x-5}{3x\left(x-1\right)}$$

Answer

$$\frac{-7x+5}{3x\left(x-1\right)}$$

Answer

$$\frac{-7x-5}{3x\left(x-1\right)}$$

Question 8

$$h$$ is directly proportional to thrice of $$m$$ .

When $$m=2$$ , the value of $$h=54$$ .

Find the value of $$h$$ when $$m=8$$ .

Accepted Answer

216

Answer

9

Answer

27

Answer

144

Question 9

$$h$$ is inversely proportional to square root of $$m+2$$ .

When $$m=7$$ , the value of $$h=5$$ .

Find the value of $$h$$ when $$m=79$$ .

Accepted Answer

$$\frac{5}{3}$$

Answer

$$\frac{9}{8}$$

Answer

$$\frac{8}{9}$$

Answer

$$\frac{3}{5}$$

Question 10

An athlete runs $$d$$ meters in $$t$$ minutes.

$$d$$ is directly proportional to the cube of $$t$$ .

The athlete runs 100.8 meters in 2 minutes.

Write down the formula for $$d$$ in $$t$$ minutes.

Accepted Answer

$$d=12.6t^3$$

Answer

$$d=1.26t^3$$

Answer

$$d=16.8t^3$$

Answer

$$d=37.8t$$

Question 11

An athlete runs $$d$$ meters in $$t$$ minutes.

$$d$$ is directly proportional to the cube of $$t$$ .

The athlete runs 100.8 meters in 2 minutes.

Calculate the distance of the athlete in 5 minutes.

Accepted Answer

1575 meters

Answer

157.5 meters

Answer

189 meters

Answer

315

Question 12

The equation of the line is y = 3x + 5.

Find the coordinates of the point where this line crosses the y-axis and x-axis.

Accepted Answer

(0,5)

(-5/3, 0)

Answer

(0, 5)

(3, 0)

Answer

(0, 5)

(5/3, 0)

Answer

(5,0)

(0, 5/3)

Question 13

A line, $$m$$ , joins point $$P\left(5,3\right)$$ and $$Q\left(-3,\ 5\right)$$ .

Find the midpoint of points P and Q.

Accepted Answer

(1, 4)

Answer

(2, 8)

Answer

(-2, 8)

Answer

(-1, 4)

Question 14

A line, $$m$$ , joins point $$P\left(5,3\right)$$ and $$Q\left(-3,\ 5\right)$$ .

Find the gradient of line $$m$$ .

Accepted Answer

-1/4

Answer

-1

Answer

1/4

Answer

1

Grade 9 Sem 2 Midterm Review

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