Free Printable linear equation in one variable

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linear equation in one variable

Total questions: 29

Worksheet time: 1hrs 15mins

Name

Class

Date

Write 'True' or 'False'
The solution of a linear equation is always an integer

TRUE

FALSE

Which of the following is not a linear equation?

3x - 1 = -2x

xy - 3 = x

(x-5)⁄7 = (x-2)⁄3

x + 2y = 10

The number of solutions to a linear equation is _____

None of the above

Solve for y : y - 3 = 10

y = 13

y = 7

y = 6

None of the above

If 2x + 4 = x - 5, then x = ______

-9

-1

7⁄4

Construct linear equation for the following statement:
Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

5x + 7 x = 120

5x - 7x =120

x⁄5 + x⁄7 = 120

None of the above

Identify two consecutive multiples of 3 whose sum is 57.

24 and 33

27 and 30

21 and 36

None of the above

Identify the linear equation in two variables from the given equations

2x = 4x + 3

x - 3y = 6

4x - 4 + 8x = 5

None of the above

10.

Write 'True' or 'False'
An algebraic statement becomes an equation when it equals something

TRUE

FALSE

11.

Which equation below would give you the answer no solution?

3x + 3 = 3x + 3

3x + 3 = 6x + 6

3x + 3 = 3x + 2

3x + 3 = 0

12.

Solve:
2(4x - 3) - 8 = 4 + 2x

x = 5/3

x = 3

x = 1

x = 2

13.

The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find Father’s age after 10 years.

80 years

90 years

70 years

100 years

14.

Which of the following is a linear expression?

$x^2+1$

$y+y^2$

$4$

$1+z$

15.

The digit in the ten’s place of a two digit number is 3 more than digit in the unit’s place. Let the digit in the units place be b. Then the number is?

$11b+30$

$10b+30$

$11b+3$

$10b+3$

16.

For what value of x the perimeter of the given shape is 77 cm?

17.

Solve the following equation: $0.25\left(4x-5\right)=0.75x+8$

18.

Solve for k:
3k + 5 = 23

k = 4

k = 5

k = 6

k = 7

19.

Solve the equation
-8x - 8 + 3(x - 2) = -3x + 2

x = -8

x = 8

x = 2

x = -2

20.

What is the first step to solve this equation:
11 - 3x = 44

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides.

21.

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

1500 + 8t = 12

12 + 8t = 1500

1500 + 8t = 12t

8t = 12t + 1500

22.

-14 = b / 18

252

-252

-4

23.

Solve:
15 = x ÷ 3

x = 45

x = 5

24.

9+2a=-3-4a

a = -2

a = 2

a = 5

a = -1

25.

The sum of two consecutive integers is 153. Which equation could be used to find the first integer?

2n+1 = 153

n + 1 = 153

2n = 153

2n + 2 = 153

26.

On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. Based on this information, which statement is true?

His rate on Saturday was 2 miles per hour slower than his rate on Sunday.

His rate on Sunday was 2 miles per hour slower than his rate on Saturday.

His rate on Saturday was the same as his rate on Sunday.

His rate on Sunday was 2 miles per hour faster than his rate on Saturday.

27.

Solve for p:
3(p + 2) = -3(p + 2)

p = -2

p = 2

p = 3

p = -3

28.

Solve the linear equation.

2x - 3 ( x + 4 ) = -5

x = -17

x = -7

x = 7

x = 17

29.

Which of the following is not a linear equation in one variable?

33(x+y)

33x

33y

Reset

linear equation in one variable

Total questions: 29

Worksheet time: 1hrs 15mins

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