Word Problems based on Multi step Equations

Q. Five less than twice a number is equal to seven times the number. Find the number.

Q. The length of a rectangle is $3$ inches greater than its height. The perimeter of the rectangle is $14$ inches. What is its length?

1. $3$ inches
2. $5$ inches
3. $6$ inches
4. None of the above

Q. Jack's tile worker charges $\$7$ per room, and they receive a $\$5$ service charge for the entire day. Luke's tile worker charges $\$3$ per room and they receive a $\$21$ service charge for the entire day. Find the number of rooms for which the total cost of both tile workers is the same.

1. 1
2. 3
3. 4
4. 8

Q. Find the value of $x$ in the following equations.

(i) 4$x$ + 5 = 25


(ii) $(7x+8)÷7=8$