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1.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

2.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 0

c)

x = 3

d)

x = -3

3.

The average speed of a pick-up was 20km/h faster than the average speed of a lorry. The pick-up took 45 minutes less than the lorry to cover a distance of 180 km. Determine the speed of the lorry.

a)

75 km/h

b)

80 km/h

c)

60 km/h

d)

45 km/h

4.

Solve for x in $\left(x-4\right)^2=\left(x-8\right)\left(2x+7\right)$

a)

8, -7

b)

-8, 9

c)

8, 7

d)

-8, -9

5.

John cycled 6 km from his home to school at an average speed of (2x - 3) km/h. Peter walked 2.4 km from his home to the school at an average speed of x km/h. Peter took 16 minutes less than John. Determine the time in minutes, that John took to reach the school.

a)

40 minutes

b)

6 minutes

c)

15 minutes

d)

45 minutes

6.

A rectangle whose area is 96m² is such that its length is 4metres longer than its width. Find it's perimeter.

a)

20 m

b)

12 m

c)

8 m

d)

40 m

7.

What are the roots of this quadratic function?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

8.

The formula 'b² - 4ac' is called the

a)

quadratic formula

b)

factored form

c)

vertex formula

d)

the discriminant

9.

The discriminant finds the

a)

number of solutions

b)

x-intercepts

c)

y-value of vertex

d)

y-intercept

10.

The sum of the squares of two consecutive odd numbers is 394. Find the numbers

a)

13 & 15

b)

13 & 17

c)

15 & 19

d)

14 & 15

11.

Find the values of k for which the following equation will have real and equal roots: $3x^2-5x+2k=0$

a)

$k=\frac{25}{24}$

b)

$k=\frac{23}{24}$

c)

$k=\frac{5}{24}$

d)

$k=\frac{25}{4}$

12.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

13.

Given this graph is the function of

$y=x^2-2x-8$ , what is the solution to $x^2=2x+8$ ?

a)

(1, 9)

b)

x = {-2, 4}

c)

(0, 8)

d)

x = {5, 2}

14.

$2x^2=8x+3$

$2x^2-8x-3=0$

$x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}$

$x=\frac{8\pm\sqrt{40}}{4}$

$x=\frac{8\pm2\sqrt{10}}{4}$

$x=\frac{4\pm\sqrt{10}}{2}$

Suzanne solved the equation using this process.

Did she make a mistake?

If yes, at which line did she make her first mistake?

(There are 5 steps in her process)

a)

Suzanne made no errors.

b)

Step 2

c)

Step 3

d)

Step 4

e)

Step 5

15.

What is/are the solution(s) to

3x^2-1=74

?

a)

x = 5 only

b)

x = -5 only

c)

x = 5 and -5

d)

There are no real solutions

16.

Did you enjoy the quiz?

a)

Yes

b)

No

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Total questions: 16

Worksheet time: 49mins

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