Free Printable Linear Equation in one variable

1.

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

a)

$3x\ =\ -42$

b)

$4x\ +\ z\ =\ 2$

c)

$x\ -\ 2\ =\ 11$

d)

$\frac{3}{4x}\ =\ \frac{9}{8}$

2.

Construct linear equation for the following statement:

Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

a)

5x + 7x = 120

b)

5x - 7x =120

c)

x ⁄ 5 + x ⁄ 7 = 120

d)

None of the above

3.

Niral thought of a number n. He subtracted 7 from thrice the number to get 11.

How much is n + 2?

a)

6

b)

8

c)

20

d)

cannot be determined as the number n is not known

4.

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

a)

-23

b)

-7

c)

1

d)

17

5.

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? ________ years

a)

12

b)

18

c)

16

d)

10

6.

Age of Anu and Manu are in ratio 5:4. Six years from now their age will be in the ratio 7:6.

Sum of their present ages is

a)

24

b)

27

c)

30

d)

33

7.

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?

a)

$11b+30$

b)

$10b+30$

c)

$11b+3$

d)

$10b+3$

8.

A boy ate 60 biscuits in 5 days. Each day he ate 3 biscuits more than the previous day. How many biscuits did he eat on the fifth day?

(a) biscuits

9.

After cutting out a few pieces of length 80 cm each, from a 10 m long rope, a 360 cm piece is left.

How many pieces of length 80 cm each were cut?

(a) pieces

10.

Anand has Δ red marbles. Jacob has 3 more red marbles than Anand. Which of the following expression gives the TOTAL number of marbles the two boys have?

a)

3Δ

b)

Δ + 3

c)

2Δ + 3

d)

3Δ + 2

11.

Which is equivalent to "Twice a number less than 28 is 3"?

a)

2x - 28 = 3

b)

x² - 28 = 3

c)

28 - x² = 3

d)

28 - 2x = 3

12.

A math worksheet took Jeremy 1 hour and 15 minutes to complete. Each numerical problem took three minutes to complete and each word problem took five minutes to complete.
If there were 10 numerical problems on the worksheet, how many word problems were there?

a)

9

b)

6

c)

7

d)

8

13.

$\frac{4\omega+3}{3\omega\ +4}\ =\ \frac{54}{72}$ , find $\left(\omega\ +\ 100\right)\left(\omega\ \times\ 100\right)$ .

a)

0

b)

212400

c)

240000

d)

128320

14.

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.

a)

80 years

b)

90 years

c)

70 years

d)

100 years

15.

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

16.

Solve the equation , $\frac{2\delta\ +\ 3}{\delta\ +\ 1}\ =\ \frac{4}{5}$ What is the value of $6\delta$ ?

a)

-39

b)

-29

c)

-19

d)

9

17.

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

18.

Two supplementary angles differ by 34. The smaller angle is

a)

37⁰

b)

107⁰

c)

73⁰

d)

43⁰

19.

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

a)

10

b)

9

c)

8

d)

7

20.

The sum of two consecutive integers is 153. Which equation could not be used to find the first integer?

a)

2n+1 = 153

b)

2n = 152

c)

n + 24 = 100

d)

n + 1 = 123

21.

$\frac{8x\ +\ \frac{3}{2}}{\frac{2}{3}x\ +8}\ =\ 2\frac{3}{8},\ \ \ calculate\ x$

22.

$\frac{4a\ +\ 8}{2a\ +6}\ =\frac{6}{8},\ calculate\ \alpha$

23.

Match the following and select the correct option for the variables. (IMO level -2 pyq)

a)

$2\ +\frac{2x-3}{2x+3}\ =\ \frac{3x+4}{x\ +\ 2}$

1.

-3

b)

$7\kappa\ -\ 4\ =\ \kappa\ +\ 4$

2.

-4/3

c)

$\frac{p}{2}\ +\ \frac{p}{3}\ -\ \frac{p}{4}\ =\ 7$

3.

12

24.

A line segment of length 9.6cm is divided into two parts such that 5 times one part is equal to 3 times the other one. The length of the smaller part is ?(in cm)

25.

$\frac{1}{4x\ +\ 1}\ =\ \frac{1}{4\left(2-x\right)}$ , find x

Linear Equation in one variable - G4

Total questions: 25

Worksheet time: 38mins

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