Free Printable M03 U01

1.

The intersection point of the two straight lines:

$X-1=0\ ,Y=2$ is ...............

a)

(1,2)

b)

(-1,2)

c)

(1,-2)

d)

(-1,-2)

2.

The two straight lines:
$3X=7,\ 2Y=9$

a)

parallel

b)

coincident

c)

intersecting and not perpendicular

d)

perpendicular

3.

If the intersection point of the two straight lines:
$X-1=0,\ Y=2K$
lies in the fourth quadrant then k could be equal to ............

a)

-5

b)

-1

c)

1

d)

5

4.

The number of solutions of the two equations: $X+y=5\ ,\ y-5=0$

a)

zero

b)

one

c)

two

d)

three

5.

The number of solutions of the two equations: $X+2y=5,\ X-2y=-1$
in R x R

a)

0

b)

1

c)

2

d)

infinite

6.

The number of solutions of the two equations:
$X+y=5,\ y-5=0$

a)

0

b)

1

c)

2

d)

infinite

7.

The number of solutions of the two equations:
$X-\frac{1}{2}Y=4\ ,\ 2X-y=2$

a)

1

b)

2

c)

infinite

d)

0

8.

The two straight lines:
$3X+5y=0\ ,\ 5X-3y=0$
are intersecting on the .........

a)

first quadrant

b)

second quadrant

c)

origin point

d)

third quadrant

9.

If the two straight lines:
$X+3y=4\ ,\ X+ay=7\ are\ parallelr\ then\ a=...........$

a)

3

b)

4

c)

7

d)

11

10.

The two first-degree equations in two variables which have an infinite number of solutions in R x R are represented by two ............................................. straight lines.

a)

parallel

b)

intersecting in one point

c)

perpendicular

d)

coincident

11.

If two straight lines intersect in two points, then the number of solutions of the two equations represented by the straight lines is .................

a)

a unique solution.

b)

two solutions.

c)

an infinite number of solutions.

d)

none.

12.

If the two equations: $x+2y=3,\ 3~x+ky=9$ have an infinite number of solutions in, then k in R x R, then K = .............

a)

2

b)

3

c)

6

d)

9

13.

The number of solutions of the equation $x-y=0$ in R x R is ..................

a)

1

b)

2

c)

3

d)

an infinite number.

14.

The solution set of the two equations:
$\frac{1}{2}X\ =\ 1,\ X\ +\ Y\ =1$

a)

{(2,1)}

b)

{(2,-1)}

c)

{2,-1}

d)

(2,-1)

15.

The solution set of the two equations:
$x+y=0,\ y-5=0$ in R x R is ..............

a)

{(-5,5)}

b)

{(5,-5)}

c)

{(5,5)}

d)

{(-5,-5)}

16.

The solution set of the two equations: $x+3y=5,\ x-3y=-1$ in R x R is ..................

a)

{(2,1)}

b)

{(1,2)}

c)

{(2,3)}

d)

{(3,2)}

17.

The solution set of the two equations: $X-2y=1\ ,\ 3\ x+y=10$ in R x R is ..............

a)

{(5,2)}

b)

{(2,4)}

c)

{(1,3)}

d)

{(3,1)}

18.

Two positive integers, their sum is 8 and their product is 15 then the two integers are .....................

a)

2,6

b)

3,5

c)

4.4

d)

1.15

19.

The curve $y=ax^2+bx+c$ cuts the y-axis at the point ............................ where a, b and c are real numbers, a≠0

a)

(0,b)

b)

(b,0)

c)

(c,0)

d)

(0,c)

20.

If the curve of the quadratic function f does not intersect the X-axis at any point then the number of solutions of the equation: $f(X)=0$ in R is .................

a)

a unique solution.

b)

two solutions.

c)

an infinite number of solutions.

d)

zero.

21.

If the curve of the quadratic function $f$ passes through the points (-1.0), (0,4) , (4,0), then the S.S. of the equation: $f(X)=0$ in R is .............

a)

{-1,0}

b)

{-4,0}

c)

{-1,4}

d)

{4,-4}

22.

The general formula to solve the quadratic equation $ax^2+bx+c=0$ where a,b and c are real numbers, $a\ne0$ is x = ........................

a)

$\frac{-b^2\pm\sqrt{b^2-4ac}}{2a}$

b)

$\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

c)

$\frac{-b\pm\sqrt{b^2-4ac}}{4a}$

d)

$\frac{-b\pm\sqrt{c^2-4ac}}{2c}$

23.

In the equation $ax^2+bx+c=0$ where a, b and c are real numbers and $b^2-4ac>0$ , the number of roots of the equation in R is ...................

a)

1

b)

2

c)

3

d)

infinite.

24.

One of the solutions of the two equations: $X\ -y=2,\ x^2+y^2=20$ in R x R is ................

a)

(-4,2)

b)

(2,-4)

c)

(3,1)

d)

(4,2)

25.

If $x=y+1,\ (y-x)^2+y=3$ , then x = .........

a)

5

b)

4

c)

3

d)

2

26.

If $ab=3,\ ab^2=12$ , $then\ b=.....................$

a)

4

b)

2

c)

-2

d)

$\pm2$

27.

The solution set of the two equations
$2x-y=3,\ X+2y=4$

a)

{(2,-1)}

b)

{(-2,1)}

c)

{(2,1)}

d)

{(-2,-1)}

28.

The solution set of the two equations
$3x+y=3,\ 2x-y=7$

a)

{(2,-3)}

b)

{(-2,3)}

c)

{(3,-2)}

d)

{(2,-3)}

29.

The solution set of the two equations
$x=y+4,\ 3X+4y=5$

a)

{(3,1)}

b)

{(3,-1)}

c)

{(-1,3)}

d)

{(-3,-1)}

30.

The solution set of the two equations
$x-2y-1=0,\ \ x^2-xy=0$

a)

$\left\{\left(0,\frac{-1}{2}\right)\ ,\ \left(-1,-1\right)\right\}$

b)

$\left\{\left(3,-3\right)\ ,\ \left(-3,-3\right)\right\}$

c)

$\left\{\left(-3,\ 3\right)\ ,\ \left(3,3\right)\right\}$

d)

$\left\{\left(0,\frac{1}{2}\right)\ ,\ \left(-1,1\right)\right\}$

31.

The solution set of the equation,
$3x^2+1=5X$ using the general formula and approximate the result to the nearest two decimal places.

a)

{1.43 , 0.23}

b)

{0.3 , -3.3}

c)

{1.43 , -0.23}

d)

{-0.3 , 3.3}

32.

What are the two numbers if their sum is 40 and the difference between them is 10?

a)

20, 30

b)

15, 25

c)

18, 22

d)

14, 26

33.

What are the two rational numbers if their sum is 12 and three times the smaller number is more than twice the greater number by 1?

a)

5, 7

b)

6, 6

c)

4, 8

d)

3, 9

34.

What is the original two-digit number if the sum of its digits is 11 and the reversed number is more than the original number by 27?

a)

38

b)

56

c)

47

d)

65

35.

What are the two numbers if three times the first number added to twice the second number is 13 and the first number added to three times the second number is 16?

a)

3, 5

b)

4, 4

c)

5, 1

d)

6, 2

36.

What are the two dimensions of a rectangle if its length is 5 cm more than its width and its perimeter is 18 cm?

a)

4 cm, 9 cm

b)

5 cm, 10 cm

c)

6 cm, 11 cm

d)

7 cm, 2 cm

37.

What are the two numbers if their product is 10 and the difference between them is 3?

a)

2, 5

b)

-5, -2

c)

1, 4

d)

-4, -1

38.

What are the two positive real numbers if their difference is 1 and the sum of their squares is 25?

a)

3, 4

b)

-4, -3

c)

5, 6

d)

-6, -5

39.

A rectangle of perimeter 18 cm. and area 18 cm? Find its two dimension

a)

6 cm & 3 cm

b)

-6 cm & -3 cm

c)

5 cm & 2 cm

d)

-5 cm & -2 cm

M03 U01

Total questions: 39

Worksheet time: 10hrs 45mins

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