Free Printable LINEAR EQUATIONS

1.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

2.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

3.

Solve the linear equation.

x - 15 = -19

a)

x = 34

b)

x = -34

c)

x = 4

d)

x = -4

4.

Solve the linear equation.

¾ x = 27

a)

x = 20 ¼

b)

x = 36

c)

x = -20 ¼

d)

x = -36

5.

A linear equation has how many solutions?

a)

0

b)

1

c)

2

d)

More than 2

6.

An expression becomes a linear equation by

a)

Multiplying it with certain number

b)

Equating to zero

c)

Adding some number and variable

d)

All of the above

7.

Which of the following is a linear expression.

a)

12-5x

b)

3

c)

2y^2+y+3

d)

1-z^3

8.

The shifting of numbers or variables from one side to another side is called

a)

Distribution

b)

Transition

c)

Transposition

d)

Transformation

9.

Linear equation in one variable has

a)

Only one term with variable

b)

One variable with power >1

c)

More than one variable with any power

d)

One variable with power 1

10.

The value of x in 4x-7=17 is

a)

0.6

b)

6

c)

5

d)

6.6

11.

The value of x for which 3x-1and 2x+4are equal is

a)

-3

b)

1

c)

3

d)

5

12.

The solution of which of the following equations is neither a fraction nor an integer?

a)

-3x+2=5x+2

b)

4x-18=2

c)

4x+7=x+2

d)

5x-8=x+4

13.

Solve 2y-5=-3y+15

a)

y=5

b)

y=4

c)

y=-5

d)

y=-4

14.

What is the value of x in -4x=2/5(-x+10)

a)

-10/9

b)

-9/10

c)

9/10

d)

10/9

15.

The digit in the ten's place of a two digit number is 2 more than the digit in unit's place.Let the unit'splace digit is x.Then the number is

a)

11x+2

b)

2x+20

c)

11x+20

d)

10x+20

16.

The share of A when Rs 60 divided between A and B sothat B gets Rs 12 more than A is

a)

12

b)

36

c)

20

d)

24

17.

Arun's present age is thrice that of Tarun.4 years ago if tarun's age was x,what will be the age of Arun after 2 yr?

a)

2x+12

b)

3x+18

c)

2x+8

d)

3x+14

18.

Solve.
5(y + 4) = 4(y + 5)

a)

0

b)

2

c)

no solution

d)

All real numbers

19.

Solve.
6(y - 4) = 3(y - 8)

a)

0

b)

2

c)

No solution

d)

All real numbers

20.

If 7x + 3 = 24, what is the value of 5 - 4x ?

a)

-23

b)

-7

c)

1

d)

17

21.

Which of the following is not a linear equation?

a)

3x - 1 = -2x

b)

xy - 3 = x

c)

(x-5)⁄7 = (x-2)⁄3

d)

x + 2y = 10

22.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

23.

Choose the best response: "A solution to an equation is ___________________."

a)

the answer

b)

the last step

c)

whatever Photomath tells me it is.

d)

the value of the variable that makes the equation true.

24.

Solve for x. $3x-2-x=18$

a)

$x=5$

b)

$x=4$

c)

$x=10$

d)

$x=8$

25.

Which would not be a valid next step to solve the equation $3-4x+2=1$

a)

$3+2-4x=1$

b)

$5-4x=1$

c)

$3+2=1+4x$

d)

$3-2+4x=1$

26.

Which is not a valid step when solving the equation $2\left(3x-4\right)+2x=-4$

a)

Simplify the LHS by combining the 3x and 2x

b)

Simplify the LHS to get $2\left(3x\right)+2\left(-4\right)+2x$

c)

Rewrite $3x-4$ as $3x+-4$

d)

Simplify the LHS to get $6x-8+2x$

27.

The solution to the equation $2x+5x+18+x=-1045$ must be __________.

a)

about 120

b)

greater than 18

c)

positive

d)

negative

e)

a number I have never seen before

28.

Complete the statement:

A sentence which states that two expressions are equal is called an __________.

a)

equation

b)

expression

c)

inequality

d)

similarity

29.

Complete the statement:

The expressions of the equation are also called _______.

a)

terms

b)

polynomials

c)

sides

d)

solutions

30.

Complete the statement:

When the highest power of the variable of an equation in one variable is 1, then the equation is ______.

a)

simple

b)

quadratic

c)

basic

d)

linear

31.

Which of the following is an equation?

a)

Thrice a number added to 5

b)

Twice the difference of a number and 8

c)

A number subtracted from its square

d)

Twice the difference of a number and 3 is 5.

32.

Which is the correct translation of the equation 3x + 10 = 55?

a)

Ten more than thrice a number is 55.

b)

A number raised to 3 plus 10 is 55.

c)

Three times a number added to 10 is 55.

d)

Thrice x more than 10 is 55.

33.

Rishi is twice as old as Vani. 10 years ago his age was thrice of Vani. Find their present ages.

a)

10,30

b)

20,40

c)

30,60

d)

100,200

34.

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

a)

4,19

b)

8,12

c)

8,17

d)

10,23

35.

The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?

a)

84 , 36

b)

36,72

c)

12,40

d)

20,40

36.

The length of a rectangle is twice its breadth. If the perimeter is 72 metre, find the length and breadth of the rectangle.

a)

12,20

b)

40,60

c)

24,12

d)

100,56

37.

Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find their present ages

a)

21,22

b)

3,17

c)

12,3

d)

6,1

38.

Solve for y:

\frac{y}{2}-\frac{y}{5}=\frac{1}{4}

(a)

39.

The sum of four consecutive natural numbers is 90.

Then, the smallest of the four numbers is (a)

40.

Arun is 5 years older than Hari. Hari is 2 years younger than Ali. Their ages total up to 37.

What is Hari's age? (a) years

41.

Which of the following expressions is a linear expression in one variable?

a)

x²+ 1

b)

x + 2y

c)

x³

d)

7x + 5

42.

At a concert, there were 25 more women than men. The total number of people at the concert was 139. Find the number of women.

a)

50

b)

57

c)

82

d)

97

43.

Pablo is 8 years older than Myrna. The sum of their ages is 56. How old is Pablo?

a)

18

b)

20

c)

24

d)

32

44.

Find the largest of three consecutive odd integers whose sum is 111.

a)

25

b)

18

c)

39

d)

50

45.

What is three times a number increased by six is 21?

a)

5

b)

6

c)

8

d)

12

46.

The perimeter of a rectangle is 60 cm. Find the measure of the length if the measure of the width is 5 cm?

a)

5

b)

18

c)

25

d)

14

47.

The sum of two numbers is 117. One of the numbers exceeds the other by 53. Find the smaller number.

a)

40

b)

45

c)

85

d)

32

48.

Find the largest of three consecutive odd integers whose sum is 63.

a)

12

b)

23

c)

15

d)

9

49.

The product of 7 and the difference of a number and 12 is 6 less than 5 times the number. Find the number.

a)

15

b)

48

c)

51

d)

39

50.

Twelve more than a number is 20. What is the number?

a)

9

b)

10

c)

7

d)

8

LINEAR EQUATIONS

Total questions: 50

Worksheet time: 43mins

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