Free Printable Algebra

1.

To draw graph of 4x+5y=19, find y when x=1.

a)

4

b)

3

c)

2

d)

-3

2.

The sequence -10,-6,-2,2,.......

a)

is an AP reason d=-16.

b)

is an AP reason d=4

c)

is an AP reason d=-4

d)

is not an AP.

3.

For an AP, a=3.5,d=0,n=101,the tn=......

a)

0

b)

3.5

c)

103.5

d)

104.5

4.

Which number cannot represent a probability?

a)

2/3

b)

1.5

c)

15%

d)

0.7

5.

A die is rolled. What is the probability they the number appearing on upper face is less than 3?

a)

1/6

b)

1/3

c)

1/2

d)

0

6.

One of the roots of equation $x^2+mx-5=0$ is 2. Find m.

a)

-2

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

2

7.

Which of the following is quadratic equation?

a)

$\frac{5}{x}-3=x^2$

b)

$x\left(x+5\right)=2$

c)

$n-1=2n$

d)

$\frac{1}{x^2}\left(x+2\right)=x$

8.

What is the common difference of the Arithmetic Progression: -1, -1, -1, -1, ..........

a)

0

b)

1

c)

2

d)

-1

9.

The first four terms of an Arithmetic Progression whose first term is -2 and the common difference is -2 is _____

a)

-2, 0, 2, 4

b)

-2, 4, -8, 16

c)

-2, -4, -6, -8

d)

-2, -4, -9, -16

10.

The common difference of the Arithmetic Progression 0.2, -0.3, -0.8, ..... is

a)

0.3

b)

0.5

c)

-0.5

d)

-0.2

11.

Which of the following is not an Arithmetic Progression?

a)

1, 4, 7, 10, .....

b)

-5, -2, 1, 4, .....

c)

3, 7, 12, 16, ......

d)

11, 14, 17, 20, .....

12.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

13.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

14.

The solutions of the quadratic equation
x²-5x+6=0 are

a)

x=1 or x=-6

b)

x=3 or x=2

c)

x=-3 or x= 2

d)

x=-1 or x=6

15.

In the quadratic formula, if b²-4ac>0, then the quadratic equation has

a)

two imaginary solutions

b)

two different real solutions

c)

two equal real solutions

d)

none of these

16.

Solve the Simultaneous Equations: x+y=5; x-y=1

a)

x=2, y=3

b)

x=3, y=2

c)

x=3, y=-2

d)

x=-3, y=2

17.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

18.

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2,2)

b)

(-2, -2)

c)

(-2,2)

d)

(2,1)

19.

What are the solutions?

a)

x=1, y=-1

b)

x=-1, y=1

c)

x=0, y=-1

d)

x=1, y=0

20.

Solve
$y=\frac{1}{2}x+2$

2y+3x=12

a)

$x=2,\ y=3$

b)

$x=3,\ y=2$

c)

$x=1.5,\ y=4$

d)

$x=5,\ y=1$

21.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

3

b)

1/10

c)

3/10

d)

30%

22.

What is the probability of flipping a coin

3 times and getting 3 heads?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

23.

Choose the correct answer from the given four options:
The 10th term of the AP: 5, 8, 11, 14, ... is

a)

32

b)

35

c)

38

d)

25

24.

Which term of the AP: 21, 42, 63, 84,... is 210?

a)

9^th

b)

10^th

c)

11^th

d)

12^th

25.

If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is

a)

0

b)

5

c)

6

d)

15

26.

In the quadratic formula, the expression
b²-4ac is called

a)

discrim

b)

determinant

c)

discriminant

d)

none of these

27.

Say 'TRUE' or 'FALSE'
Every Quadratic equation has exactly one root

a)

TRUE

b)

FALSE

28.

Say 'TRUE' or 'FALSE'
A quadratic equation ax² + bx + c = 0 has equal roots, then b² - 4ac = 0

a)

TRUE

b)

FALSE

29.

The equation y = 3x + 5 has _____

a)

A unique solution

b)

Only two solutions

c)

Three solutions

d)

Infinitely many solutions

30.

Which of the following options is the standard form of the linear equation 7x – 21 + 2y = 0?

a)

21 + 2y + 7x = 0

b)

2y + 7x – 21 = 0

c)

7x – 21 + 2y = 0

d)

7x + 2y – 21 = 0

31.

What is the probability of flipping a coin and getting heads?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

32.

What is the probability of the spinner landing on an odd number?

a)

4/8

b)

4/4

c)

1/4

d)

1/3

33.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

34.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

35.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

36.

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

a)

pencil: 13 cents

ruler: 23 cents

b)

pencil: 15 cents

ruler: 23.50 cents

c)

pencil: 12 cents

ruler: 25 cents

d)

pencil: 18 cents

ruler: 26 cents

37.

What is the solution(s) for the following intersection of two lines?

a)

(-1,-1)

b)

(-1,1)

c)

(1, 1)

d)

(1, -1)

38.

Solve
$8c+3d=-35$
$5c=-22-2d$

a)

$c=4,\ d=-1$

b)

$c=-4,\ d=-1$

c)

$c=-1,\ d=4$

d)

$c=1,\ d=-4$

39.

What is the solution to the system of equations?

a)

(3, -2)

b)

(3, 2)

c)

(2, 3)

d)

(2, -3)

40.

The 21st term of the AP whose first two terms are –3 and 4 is

a)

17

b)

137

c)

143

d)

-143

Algebra

Total questions: 40

Worksheet time: 7hrs 40mins

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