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Class 07 - Maths (NEW)
Expressions using Letter-Numbers - 01
1. Choose the correct option: (1 Mark Each)
1. What is the coefficient of x in the expression 7x + 3 ?
a) 10
b) 7
c) x
d) 3
2. Which expression represents "the sum of a number x and 7"?
a) x ÷ 7
b) x − 7
c) x + 7
d) 7x
3. What does the expression 5x represent?
a) x multiplied by 5
b) x added 5 times
c) 5 added x times
d) 5 divided by x
4. In algebra, the multiplication sign is often omitted. How is 4 × x written?
a) x × 4
b) 4 × x
c) 4x
d) ×4
5. Assertion (A): 10y - 3 is equal to 10(y - 3).
Reason (R): Both expressions contain the same numbers and variables.
a) Both A and R are true and R is the correct explanation of A.
b) Both A and R are true but R is not the correct explanation of A.
c) A is true but R is false.
d) A is false but R is true.
6. Assertion (A): The expression (5 + 3 + 10)c is equal to 18c.
Reason (R): The distributive law allows combining like terms with the same letter-number.
a) Both A and R are true and R is the correct explanation of A.
b) Both A and R are true but R is not the correct explanation of A.
c) A is true but R is false.
d) A is false but R is true.
2. Fill in the blanks with suitable words: (1 Mark Each)
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1. In the expression x2 + 2x + 1, the term x2 is called a ________ term.
2. In algebra, letters are used to represent _________ numbers.
3. To simplify 4a + 3 - 2a + 5, we combine like terms to get ________.
4. Instead of writing 4 × a, we write ________ in algebra.
3. State whether each of the following statement is True or False: (1 Mark Each)
1. The expression for the area of a square with side x is x2.
a) True
b) False
2. The pattern 1, 4, 9, 16, ... represents square numbers.
a) True
b) False
3. A variable always has a fixed value.
a) True
b) False
4. Answer the following questions: (1 Mark Each)
1. What is the coefficient of x in 9x + 7?
2. Write an algebraic expression for "5 more than twice a number x".
3. How do you write 6 multiplied by y in algebra?
5. Answer the following questions: (2 Marks Each)
1. Expand and simplify the algebraic expression: 2(a + b) + 3a. Use appropriate algebraic properties and explain each
step clearly. Also mention the name of the property used.
2. A child is stacking blocks in a pattern. On Day 1, they stack 2 blocks and then add 4 more blocks. On Day 2, they
take the total from Day 1 and add 6 more blocks. On Day 3, they again take the total from Day 2 and add 8 more
blocks. If this pattern continues, how many blocks are there by the end of Day 3? Also, describe the pattern being
followed.
6. Answer the following questions: (3 Marks Each)
1. Simplify and evaluate for x = 2:
5x + 3 − 2x + 4x − 1
2. Create 3 different expressions using letter-numbers to represent the area of:
a. A square,
b. A rectangle,
c. A triangle
7. Answer the following questions: (5 Marks Each)
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Class 07 - Maths (NEW)
Expressions using Letter-Numbers - 01
1. Choose the correct option: (1 Mark Each)
1. What is the coefficient of x in the expression 7x + 3 ?
a) 10
b) 7
c) x
d) 3
2. Which expression represents "the sum of a number x and 7"?
a) x ÷ 7
b) x − 7
c) x + 7
d) 7x
3. What does the expression 5x represent?
a) x multiplied by 5
b) x added 5 times
c) 5 added x times
d) 5 divided by x
4. In algebra, the multiplication sign is often omitted. How is 4 × x written?
a) x × 4
b) 4 × x
c) 4x
d) ×4
5. Assertion (A): 10y - 3 is equal to 10(y - 3).
Reason (R): Both expressions contain the same numbers and variables.
a) Both A and R are true and R is the correct explanation of A.
b) Both A and R are true but R is not the correct explanation of A.
c) A is true but R is false.
d) A is false but R is true.
6. Assertion (A): The expression (5 + 3 + 10)c is equal to 18c.
Reason (R): The distributive law allows combining like terms with the same letter-number.
a) Both A and R are true and R is the correct explanation of A.
b) Both A and R are true but R is not the correct explanation of A.
c) A is true but R is false.
d) A is false but R is true.
2. Fill in the blanks with suitable words: (1 Mark Each)
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1. In the expression x2 + 2x + 1, the term x2 is called a ________ term.
2. In algebra, letters are used to represent _________ numbers.
3. To simplify 4a + 3 - 2a + 5, we combine like terms to get ________.
4. Instead of writing 4 × a, we write ________ in algebra.
3. State whether each of the following statement is True or False: (1 Mark Each)
1. The expression for the area of a square with side x is x2.
a) True
b) False
2. The pattern 1, 4, 9, 16, ... represents square numbers.
a) True
b) False
3. A variable always has a fixed value.
a) True
b) False
4. Answer the following questions: (1 Mark Each)
1. What is the coefficient of x in 9x + 7?
2. Write an algebraic expression for "5 more than twice a number x".
3. How do you write 6 multiplied by y in algebra?
5. Answer the following questions: (2 Marks Each)
1. Expand and simplify the algebraic expression: 2(a + b) + 3a. Use appropriate algebraic properties and explain each
step clearly. Also mention the name of the property used.
2. A child is stacking blocks in a pattern. On Day 1, they stack 2 blocks and then add 4 more blocks. On Day 2, they
take the total from Day 1 and add 6 more blocks. On Day 3, they again take the total from Day 2 and add 8 more
blocks. If this pattern continues, how many blocks are there by the end of Day 3? Also, describe the pattern being
followed.
6. Answer the following questions: (3 Marks Each)
1. Simplify and evaluate for x = 2:
5x + 3 − 2x + 4x − 1
2. Create 3 different expressions using letter-numbers to represent the area of:
a. A square,
b. A rectangle,
c. A triangle
7. Answer the following questions: (5 Marks Each)
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