Mathematics — Algebra — Practice

Question 1

Simplify: 7a − 4b − 3a + 9b.

Accepted Answer

A

Question 2

Multiply: 4x²y × (−3xy²).

Accepted Answer

A

Question 3

Using a standard algebraic identity, find the value of 102² without direct long multiplication.

Accepted Answer

A

Question 4

The sum of three consecutive integers is 72. Find the largest of the three integers.

Accepted Answer

A

Question 5

If a:b = 3:5 and b:c = 4:7, find a:b:c.

Accepted Answer

A

Question 6

A car travels at a constant speed. Which of the following correctly describes the relationship between the distance covered (d) and the time taken (t)?

Accepted Answer

A

Question 7

A shopkeeper marks up the cost price of an item by 25% and then offers a 20% discount on the marked price. What is the overall result?

Accepted Answer

A

Question 8

What is the degree of the algebraic expression 5x³y² + 7x²y⁴ − 3xy?

Accepted Answer

A

Question 9

When presented with the equation 6+9=□+8, a Class VI student writes 15 in the blank, producing 6+9=15+8. This response most directly indicates that the student is treating the equals sign as

Accepted Answer

B

Question 10

Which teaching strategy would most effectively help a Class VII class move from an operational to a relational understanding of the equals sign before formally solving linear equations?

Accepted Answer

B

Question 11

A teacher notices that when asked to write a formula for the total number of legs (L) on t tables, each with 4 legs, a student writes 'L = 4 tables' instead of 'L = 4t'. This error best illustrates which specific misconception?

Accepted Answer

B

Practice — Mathematics — Algebra

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