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MATHEMATICS 9 (Pre-TEST)

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

What do you call an equation with a degree of 2 that can be written in the form ax2 + bx + c = 0 where a, b and c are real numbers and a is not equal to 0?

a)

Linear Equation

b)

Linear Inequality

c)

Quadratic Equation

d)

Quadratic Inequality

2.

Which of the following does not describe a quadratic equation?

a)

 (x2)2  5 = 0\left(x-2\right)^2\ -\ 5\ =\ 0  

b)

 2x2= x\frac{2}{x^2}=\ x  

c)

 x2 + 2 = 2x2+1x^2\ +\ 2\ =\ 2x^2+1  

d)

 x(2+x)=5x\left(2+x\right)=5  

3.

In the given equation 3x2 +2x5=0-3x^2\ +2x-5=0 , what is the quadratic term?

a)

 x2-x^2  

b)

 2x2x  

c)

 3x23x^2  

d)

 3x2-3x^2  

4.

If  3x+2x2=8-3x+2x^2=-8  is a quadratic equation, what is its standard form?

a)

 2x23x8=02x^2-3x-8=0  

b)

 2x2+3x+8=02x^2+3x+8=0  

c)

 2x23x+8=02x^2-3x+8=0  

d)

 2x2+3x8=02x^2+3x-8=0  

5.

Which of the following quadratic equations are in standard form?

a)


2x2x=52x^2-x=5

b)

x2+2x+1=0x^2+2x+1=0

c)

x=x2+1x=x^2+1

d)

x(x+2)=10x\left(x+2\right)=10

6.

Which of the following equations does NOT belong to the group?

a)

(x3)2=25\left(x-3\right)^2=25

b)

(x+5)(x12)=18\left(x+5\right)\left(x-12\right)=18

c)

x2x+14=0x^2-x+14=0

d)

2x2=322x^2=32

7.

Which quadratic equation is equivalent to (p+3)(p+2)=5\left(p+3\right)\left(p+2\right)=5 ?

a)

 p2+5p+1=0p^2+5p+1=0  

b)

 p2+5p1=0p^2+5p-1=0  

c)

 p2+5p=11=0p^2+5p=11=0  

d)

 p2+5p11=0p^2+5p-11=0  

8.

The length of a rectangle with an area of 150cm2 is 5cm longer than its width. Which equation can be used to find the length and width?

a)

x2+5x+150=0x^2+5x+150=0

b)

x2+5x150=0x^2+5x-150=0

c)

x25x+150=0x^2-5x+150=0

d)

x+x+5=150x+x+5=150

9.

 What is the standard form of the equation x(x5)=2x+8x\left(x-5\right)=2x+8 ?

a)

 x2+7x+8=0x^2+7x+8=0  

b)

 x27x8=0x^2-7x-8=0  

c)

 x23x8=0x^2-3x-8=0  

d)

 x2+3x+8=0x^2+3x+8=0  

10.

 In the equation g2+g+9=2g^2+g+9=2 , what would be the first step to do to transform the equation into a standard form?

a)

Subtract -2 both sides

b)

Add 2 both sides

c)

Add -2 both sides

d)

None of the above

11.

Which of the following equations has a value of a, b and c as 3, -8 and 2?

a)

3x2=8x+23x^2=-8x+2

b)

3x2=8x+23x^2=8x+2

c)

3x2+2=8x3x^2+2=8x

d)

3x28x=23x^2-8x=2

12.

Which equation does NOT represent the product of the two numbers where one number is ten more than the second number and their product is 144?

a)

x(x10)=144x\left(x-10\right)=144

b)

x210x=144x^2-10x=144

c)

x210x144=0x^2-10x-144=0

d)

x210x+144=0x^2-10x+144=0

13.

In the equation 2x(x3)=102x\left(x-3\right)=10  , what are the values of a, b and c?

a)

2, -6, 10

b)

2, 6, -10

c)

2, -6, -10

d)

2, 6, 10

14.

What are the values of a, b, and c in the quadratic equation 2x2x=52x^2-x=-5  ?

a)

2, -1, 5

b)

2, 0, 5

c)

2, -1, -5

d)

2, none 5

15.

 Which of the following steps will you consider in transforming the equation 5(3x2)2=125\left(3x-2\right)^2=12 into standard form?

a)

Multiply first the binomial 3x-2 with 5

b)

Square first the binomial 3x-2

c)

Add -12 to both sides

d)

None of the above