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mathematics UK Year 7 Mathematics (KS3)

Solved problems for the chapter:

Simple algebraic expressions

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Natural numbers for KS4

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1. Representation of natural numbers on a number line

1.1. Calculation operations of natural numbers

1.1.1. Addition of natural numbers

1.1.2. Multiplication of natural numbers

1.2. Properties of arithmetic operations

1.2.1. Commutative property

1.2.2. Associative law or factor aggregation law

1.2.3. Distribution law

1.2.4. Existence of a neutral multiplier element

2. Prime numbers and compound numbers

2.1. Product of prime factors

2.2. Factorizing the common factor

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Integers for KS3

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1. Presenting integers on a number line

2. Arithmetic operations of integers

2.1. Subtraction of Integers

2.2. Properties of arithmetic operations

2.2.1. Existence of an identity element

2.2.2. The sum of any integer and its additive inverse

2.2.3. The negation of an additive inverse is its positive value

2.2.4. The additive inverse of a sum

2.2.5. Identity element for multiplication

2.2.6. Multiplication by (-1)

2.2.7. Multiplication by 0

2.2.8. The product of positive and negative integers

2.2.9. The product of a negative and a positive integer

3. Removing brackets

4. Order of integers

4.1. Greater than " > "

4.2. Less than " < "

4.3. Equals to " = "

4.4. Less than or equal to "

4.5. Greater than or equal to " >= "

4.5.1. Properties of "Less than"

4.5.2. Properties of "less than or equal to"

4.5.3. Properties of "greater than or equal to"

↓ Show theory [2] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:simple_algebraic_expressions/5160/

Determine the coefficients in the given monomials.

Calculate the sum or difference of the given terms:

Simplify only those expressions that represent a single term and determine their coefficient.

Write in an algebraic expression, the sum of the numbers and

Write the algebraic expression, more than .

Write with an algebraic expression: - multiple of the number .

Write in an algebraic expression: the sum of - times and - times .

Write in an algebraic expression: - multiple of increased by the number .

Write an algebraic expression for: the difference of three times h and five times l.