Simple Equations quiz

The solution of x + 5 = 12 is:

The solution of 3y = 27 is:

Which is an equation?

When 7 is transposed from LHS in x + 7 = 15, it becomes:

The solution of m/4 = 6 is:

"Twice a number decreased by 5 is 11" is written as:

The solution of 2x - 3 = 7 is:

x = 2 is a solution of:

The solution of 4(p - 2) = 12 is:

The solution of -3z = 15 is:

Solve 5p + 2 = 17. (2 marks)

Solve 10 = 4 + 3(t + 2). (2 marks)

Solve 3s + 12 = 0. (2 marks)

Solve 2q - 6 = 0 and check. (2 marks)

Write an equation: "If you take away 4 from 6 times a number, you get 8". Solve it. (2 marks)

Solve 7m + 19/2 = 13. (2 marks)

Solve 16 = 4 + 3(t + 2). (2 marks)

Write a statement for the equation x/3 + 5 = 8. (2 marks)

The sum of three times a number and 11 is 32. Find the number. (2 marks)

Solve 0 = 16 + 4(m - 6). (2 marks)

The length of a rectangular pool is 2 m more than twice its breadth. Its perimeter is 154 m. Find its length and breadth. (3 marks)

The base of an isosceles triangle is 4/3 cm and its perimeter is 4 2/15 cm. Find the length of each equal side. (3 marks)

The sum of two numbers is 95. If one exceeds the other by 15, find the numbers. (3 marks)

Two numbers are in the ratio 5 : 3. If they differ by 18, find the numbers. (3 marks)

Three consecutive integers add up to 51. Find the integers. (3 marks)

Read the passage and answer the questions. Sunita is twice as old as her daughter. Six years ago she was four times as old as her daughter. (i) Let the daughter's present age be x; write Sunita's present age. (ii) Form the equation for six years ago. (iii) Solve and find their present ages. (5 marks)

Read the passage and answer the questions. A bag has Rs 160 in coins of Rs 1, Rs 2 and Rs 5. The number of Rs 2 coins is 3 times the number of Rs 5 coins, and the number of Rs 1 coins is 3 times the number of Rs 2 coins. Let the number of Rs 5 coins be n. (i) Write the number of Rs 2 and Rs 1 coins in terms of n. (ii) Form the equation for the total value. (iii) Solve for n and find the number of each coin. (5 marks)

Read the passage and answer the questions. In a cricket match, Anil scored twice as many runs as Sanjay. Together their runs fell 2 short of a double century. (i) Let Sanjay's runs be x; write Anil's runs. (ii) Form an equation. (iii) Find each player's score. (5 marks)

Read the passage and answer the questions. A taxi charges Rs 50 fixed plus Rs 15 per km. Ravi paid Rs 410 for a trip. (i) Let the distance be d km; form an equation. (ii) Solve for d. (iii) How much would a 30 km trip cost? (5 marks)

Read the passage and answer the questions. A school has 40 more girls than boys. There are 520 students in all. (i) Let the number of boys be b; write the number of girls. (ii) Form an equation. (iii) Find the number of boys and girls. (5 marks)

Explain the balance method of solving an equation using diagrams. Solve 3x + 4 = 19 and 2y - 5 = 9 by drawing balance diagrams for each step. (6 marks)

Solve and check: (i) 4(2 - x) = 8 (ii) 3(n - 5) = 21 (iii) 2y + 5/2 = 37/2 (iv) 5 = 2x/3 + 1. (6 marks)

The angles of a triangle are (x + 10) degrees, (2x - 10) degrees and (x + 20) degrees. Form an equation, find x, find each angle and draw a rough figure of the triangle. (6 marks)

Construct three equations starting with x = 5, showing each step (for example, multiply both sides by 3, then add 2). Then solve one of them back to show you get x = 5. (6 marks)

Lakshmi is a cashier. She has Rs 100, Rs 50 and Rs 10 notes. The ratio of their numbers is 2 : 3 : 5 and the total value is Rs 4,00,000. Form an equation and find the number of notes of each type. (6 marks)