Linear Equations in Two Variables: Practice 3

Section A: Core Practice

Question 1mcq

Solve by substitution:

x+y=7

and

x=2y+1

. What is

y

?

A.

3

B.

5

C.

1

D.

2

Question 2mcq

Solve:

x+y=8

and

x-y=2

. What is

x

?

A.

10

B.

5

C.

3

D.

6

Question 3mcq

A student is practising Method Selection. Which statement best matches the idea: Choose substitution or elimination appropriately?

A.Ignore the given conditions and choose any formula.

B.Use only a guess because diagrams are always exact.

C.Change the question so the answer becomes easier.

D.Use the correct definition or theorem and justify each step with mathematical reasoning.

Question 4mcq

Tickets cost

₹50

for adults and

₹30

for children. If

x

adults and

y

children attend, which equation models total collection

₹430

?

A.

50x+30y=430

B.

50x-30y=430

C.

x+y=430

D.

30x+50y=4300

Question 5mcq

Tickets cost

₹50

for adults and

₹30

for children. If

x

adults and

y

children attend, which equation models total collection

₹430

?

A.

50x-30y=430

B.

x+y=430

C.

30x+50y=4300

D.

50x+30y=430

Section B: Application Practice

Question 6mcq

Find the mean of

4,6,8,10

.

A.

6

B.

28

C.

8

D.

7

Question 7mcq

Which is a statistical investigative question?

A.Is

7

a prime number?

B.What is

2+3

?

C.What is the formula for area of a circle?

D.How many hours do students in Grade 9 study on a typical weekday?

Question 8mcq

Solve by substitution:

x+y=7

and

x=2y+1

. What is

y

?

A.

3

B.

2

C.

5

D.

1

Question 9mcq

Solve:

x+y=8

and

x-y=2

. What is

x

?

A.

3

B.

5

C.

10

D.

6

Question 10mcq

A student is practising Method Selection. Which statement best matches the idea: Choose substitution or elimination appropriately?

A.Use only a guess because diagrams are always exact.

B.Change the question so the answer becomes easier.

C.Use the correct definition or theorem and justify each step with mathematical reasoning.

D.Ignore the given conditions and choose any formula.