1) The algebraic expression for the statement “A number ‘m’ divided by 4, then decreased by 7, gives 12” is:

2) In a game, Player A starts with x points. Player B starts with 3 times as many points as Player A. During the first round, Player A gains 12 points, and Player B loses 8 points. After the first round, both players have the same total number of points. What was Player A’s starting number of points (x)?

3) Look at the pattern: 3, 7, 11, 15, … If ‘n’ represents the position of the term in the sequence, which expression gives the ‘n’th term?

4) The sum of three consecutive natural numbers is 36. If the smallest number is x, find x.

5) If a=5 and b=3, what is the value of 2a+3b−1?

6) “Three less than twice a number ‘p’ “ can be written as:

7) Solve for x: x/2+x/3=30

8) A baker made ‘p’ number of cakes. He sold 12 cakes in the morning and 8 cakes in the afternoon. He was left with 5 cakes. Which equation represents this situation

9) A whole number x is such that when it is divided by 3, the quotient is 7 and the remainder is 2. What is x?

10) Solve for x: (x−3)/2=(x+1)/3

11) John is x years old. His sister Mary is 3 years older than him. If the sum of their ages is 21 years, how old is John?

12) Consider the expression Z=(4×5)−3. If x+Z=27, find x.

13) Sita has ‘x’ stickers. If she doubles her stickers and then gives away 10, she has 30 stickers left. Which equation represents this situation?

14) A shopkeeper had ‘s’ number of pens. He sold half of them and then bought 50 more pens. If he now has 120 pens, what was the original number of pens?

15) A factory produces toy cars. The number of wheels needed for ‘n’ toy cars is given by the formula 4n. However, due to a new design, each car now requires one extra wheel. So, the new formula for ‘n’ cars is 4n+1. If a batch of ‘x’ toy cars under the new design requires a total of 49 wheels, what is the value of x?

16) The sum of three consecutive odd numbers is ‘S’. If the smallest odd number is ‘x’, which expression represents ‘S’?

17) David is x years old. His friend Michael is 2 years younger than him. If the sum of their ages is 24 years, how old is David?

18) The algebraic expression for the statement “Twice a number ‘p’ is 10 less than 30” is:

19) A father is 3 times as old as his son. If the son is x years old and the father is 36 years old, how old is the son?

20) The algebraic expression for the statement “Half of a number ‘k’ is 20 more than its one-fourth” is: