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Question 30 Oundle School 11 Plus Maths Entrance Exam 2013

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Algebraic Equations for the 11 Plus Exams

1. What are Algebraic Equations?

A mathematical statement in which two expressions are set equal to each other is called an algebraic equation. These equations are consistent with variables, coefficients and constants. In daily life we often use algebraic equations for example while deciding how many of each brand of candy to buy at the store with limited funds or working out friend’s real age for her hints.

1.1 How to solve algebraic equations?

Steps to solve algebraic equations:

  • To solve algebraic equations using the balance method, perform the same operation (addition, subtraction, multiplication or division) on each side of the equation.
  • Use the balance method to get variables on one side and numbers on the other side of the equation.

2. Example Questions on Algebraic Equations

2.1 One-Step Equations:

Example:
Solve the equation y + 2 = 8.
Solution:
y + 2 = 8
y + 2 - 2 = 8 - 2  (Separate y by subtracting each side by 2)
So, y = 6

2.2 Two-Step Equations:

Example:
Solve the equation 10x + 7 = 12
Solution:
Solving equation 10 x + 7 = 12 using balance method
Add -7 to both the sides of the equation.
10x + 7 - 7 = 12 - 7
10x = 5
To find x, divide both sides of the equation by 10.
x = 5 ÷ 10 = 0.5

2.3 Multi-Step Equations:

Multi-step equations are of three types.

  • Equations with unknowns on both sides
  • Equations with brackets
  • Equations with fractions

Example:
Solve the equation 6(m+2) = 10m - 8

Solution:
6(m + 2) = 10m - 8
Expand the brackets on the left side,
6m + 12 = 10m - 8

The above equation has unknown variable on both the sides, subtract the unknown which has a smaller number in front of it.

6m + 12 - 6m = 10m - 8 - 6m  (6 is less than 10, so subtract 6m from each side)

12 = 4m - 8
12 + 8 = 4m - 8 + 8 (Adding 8 on each side)
20 = 4m
20 ÷ 4 = 4m ÷ 4 (Divide each side by 4)
2 = m or m = 2

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    • Frequently Asked Questions
    What is a good score in 11+ Maths ?

    What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.

    How to prepare for the 11+ Maths exam?

    The best way to prepare for the 11+ Maths Exam is by practicing 11+ Maths topic-wise questions regularly.

    Can I cancel my subscription?

    Maths online subscriptions are “Non-Refundable“. No refunds can be issued for any reason. This is because of the nature of digital products.

    You should, therefore, make sure that the Maths online subscriptions fulfil your needs before you subscribe.

    As these are digital products, we advise parents to go through our Free Past Papers provided on our website and once decided they can buy subscriptions.

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    What kind of questions are asked in the 11 Plus Maths exam?

    The majority of the 11 Plus Maths questions are mathematical problem-solving, where pupils need to understand and apply mathematical concepts. With regular practice of 11+ Maths Topic-wise questions, you will pass the 11-plus Maths Exam with a high score.

    What do you need to know for the 11 Plus Maths exam?

    The children must master the following topics for the 11 plus exams

    • Number and place value.
    • Addition, subtraction, multiplication, and division.
    • Fractions, percentages, decimals.
    • Ratio and proportion.
    • Algebra.
    • Measurement.
    • Geometry (properties and position of shapes, coordinates)
    • Statistics.

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