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Q 9 Linear Equations and Inequalities

Total questions: 27

Worksheet time: 20mins

Name
Class
Date
1.

Any new equation obtained by raising both member of an equation to the same power may have solutions is called

a)

extraneous solutions

b)

absolute value

c)

radical signs

d)

simultaneous equation

2.

If x = 0 then | x | is equal to

a)

X

b)

0

c)

1

d)

-X

3.

The symbols < , > , ≤, ≥ are called

a)

equality symbols

b)

inequalities symbols

c)

operational signs

d)

radical signs

4.

The solution of 4x-2 > 6 is

a)

x > 2

b)

x < 6

c)

x = 4

d)

x > 4

5.

| 5 | should be equal to

a)

5

b)

-5

c)

0

d)

1 / 5

6.

In √(2x-3) - 7 = 0, the value of x should be

a)

24

b)

26

c)

23

d)

20

7.

When the variable in an equation occurs under a radical, the equation is said to be

a)

quadratic equation

b)

radical equation

c)

linear equation

d)

fraction

8.

The value of ‘x’ in 6x-4 = 3x + 8 should be

a)

3

b)

6

c)

5

d)

4

9.

For real number ‘x’ the absolute value is denoted by

a)

b)

| x |

c)

1 ⁄ x

d)

−t

10.

To add or subtract a positive number from both sides of any inequality without any change in the inequality sign is called

a)

distributive property of inequality

b)

multiplicative property of inequality

c)

additive property of inequality

d)

transitive property of inequality

11.

Two linear equations are said to be equivalent if they have exactly the same

a)

inequality signs

b)

coefficient

c)

solution

d)

none of above

12.

The value of ‘x’ in √(x-1) = 4 should be

a)

23

b)

17

c)

19

d)

20

13.

Any replacement or substitution for the variable that makes the statement true is called

a)

fraction

b)

sentence

c)

equation

d)

solution

14.

If the capacity ‘c’ of a lift is at most 1200 pounds, then

a)

c < 1200

b)

c > 1200

c)

c ≥ 1200

d)

c ≤ 1200

15.

Ax + b = 0, where x is an unknown variable, is known as

a)

linear equation

b)

quadratic equation

c)

fraction

d)

sentence

16.

| x + 3 | = 4 should be equal to

a)

1 and 7

b)

2 and 5

c)

1 and −7

d)

0 and −5

17.

For x, y and z, if x > y and y > z and z > x, the property is said to be

a)

distributive property of inequality

b)

multiplicative property of inequality

c)

additive property of inequality

d)

transitive property of inequality

18.

The symbol ≤ is used for

a)

less than

b)

greater than

c)

less than and equal to

d)

greater than and equal to

19.

If x > 0 then | x | is equal to

a)

x

b)

0

c)

1

d)

-x

20.

If x < 0 then | x | is equal to

a)

x

b)

0

c)

1

d)

-x

21.

The symbol ≥ is used for

a)

less than

b)

greater than

c)

less than and equal to

d)

greater than and equal to

22.

Two algebraic expressions joined by an inequality symbol is known as

a)

inequality statement

b)

equality statement

c)

true statement

d)

false statement

23.

A statement in which sign of equality “=” is used to link two algebraic expressions is called

a)

formula

b)

equation

c)

fraction

d)

matrix

24.

The solution of x + 3 < 9 is

a)

x > 4

b)

x < 6

c)

x < 5

d)

x = 6

25.

Any term of an equation may be taken to the other side with its sign changed, without effecting the equality, is called

a)

resolution

b)

factorization

c)

transposition

d)

substitution

26.

The value of ‘x’ in 3x ⁄ 2 - (x-2) ⁄ 3 = 25 ⁄ 6 should be

a)

4

b)

3

c)

-3

d)

1

27.

Linear equation is also called

a)

second degree equation

b)

first degree equation

c)

zero degree equation

d)

simultaneous equation