Solving Linear Equations Quiz

Elsie has 14 apples. She gives 5 apples to Jacob. If she wants to distribute the remaining apples equally among 3 of her friends, including Ella, how many apples will each friend get?

• Each friend will get 2 apples

• Each friend will get 7 apples

• Each friend will get 10 apples

• Each friend will get 3 apples

Answer explanation

The solution to the equation 3x + 5 = 14 is x = 3. This is the correct choice because substituting x = 3 into the equation gives 3(3) + 5 = 14, which simplifies to 9 + 5 = 14, and 14 = 14.

Kiara has 2 apples. She buys 7 more apples. If she wants to have 11 apples in total, how many apples does she need to give away?

• She needs to give away 12 apples

• She needs to give away 4 apples

• She needs to give away 5 apples

• She needs to give away 9 apples

Answer explanation

To solve the equation 2y - 7 = 11, add 7 to both sides to isolate 2y. Then divide both sides by 2 to find y. The correct choice is y = 9.

Oliver had 2 apples and he found 4 more on the ground. William gave him 3 apples but took 1 back. How many apples does Oliver have now?

• Oliver has 10 apples

• Oliver has 5 apples

• Oliver has -2 apples

• Oliver has 7 apples

Answer explanation

To find the value of x, we need to isolate it on one side of the equation. Subtracting 2x from both sides gives 4 = x - 1. Adding 1 to both sides gives 5 = x. Therefore, x = 5. This is the correct choice as it satisfies the equation.

Oscar had 3/4 of a pizza left. He ate 1/2 of it. Samuel came over and ate 1/4 of the remaining pizza, leaving Oscar with 3 slices. How many slices did the pizza originally have if each slice is considered as 'x'?

• x = 5

• x = 10

• x = 8

• x = 12

Answer explanation

To solve the equation, combine like terms on both sides. Subtract 1/4x from both sides and add 1/2 to both sides. Simplify to get x = 10. Therefore, the correct choice is x = 10.

Isabella is baking a cake and she needs to balance the ingredients. If the equation 2/3y + 1/4 = 5/6y - 3/8 represents the balance of ingredients where 'y' is the amount of flour she needs, what is the value of 'y'?

• y = 8

• y = 4

• y = 6

• y = 10

Answer explanation

To solve the equation, combine like terms and isolate the variable. The correct solution is y = 8, as it satisfies the equation and is the only option that does.

Priya has 4 apples. She gave 2 apples to Matilda. If she wants to have 10 apples in total, how many more apples does she need to buy?

• She needs to buy 1 more apple

• She needs to buy 3 more apples

• She needs to buy 2 more apples

• She needs to buy 4 more apples

Kiara has 3 apples and Rosie gives her 2 more. Benjamin has 5 apples and he eats 4. If the number of apples Kiara has is represented by 'y', find the value of 'y'.

• y = 3

• y = 2

• y = 1

• y = 4

George had 5/6 of a pizza and Arjun gave him an additional 1/3 of a pizza. Samuel, on the other hand, started with 2/3 of a pizza but ate 1/2 of it. If the amount of pizza George has is equal to the amount of pizza Samuel has left, what is the value of the pizza in terms of 'x'?

• x = 6

• x = 3

• x = 4

• x = 5