Yr 7 Unit 6 Week 1 - Lesson 4

• Mathematics
• Lower Secondary (Key Stage 3)

Yr 7 Unit 6 - Lesson 4

Explain what is meant by the term "expand an expression".

An EXPRESSION describes a combination of variables numbers and arithmetic operations i.e.

An EXPRESSION describes a combination of constants, variables, coefficients, constants and arithmetic operations i.e. 2x + 3y - 9.

An EXPRESSION describes a combination of constants, variables, coefficients, constants and arithmetic operations i.e. 2x + 3y - 9.

• variables x and y
• coefficients 2 and 3
• constant 9

If we expand the expression 2(3x + 1), the answer is 6x + 2,
which law was used?

1. Commutative law
2. Associative law
3. Distributive law
4. None of them

Select the answer that gives the correct answer to the expansion of the expression 5(6y + 7)

1. 30y + 7
2. 6y + 35
3. 56y + 57
4. 30y + 35

Select all the answers that give the correct answer to the expansion of the expression -3(2y - 8)

1. -6y + 24
2. -6y - 24
3. -10y + 4y + 20 + 4
4. -10y + 4y - 20 + 4

Calculate the answer to the expression 4(5n - 6) when n = 3.

1. 36
2. 60
3. 9
4. 54

DO NOW

TITLE - Unit 6 - Week 1 - Lesson 4 DO NOW

INSTRUCTIONS - Write questions in your book and then answer them.

QUESTIONS - Do all the questions.

NEW LEARNING

TITLE - Unit 6 - Week 1 - NEW LEARNING

INSTRUCTIONS - Copy the following notes into your exercise book.

EXERCISE

Factorise 4n + 8

EXERCISE

Factorise 15 + 9m 

EXERCISE

Factorise 10m + 8n 

1. I can split the cubes into 6 equal groups
2. I can split the cubes into 4 equal groups
3. I can split the cubes into 3 equal groups
4. I can split the cubes into 2 equal groups

Choose which one of the following statements is false for the expression 6a + 9

1. 3 is a factor of the expression
2. 6 is a factor of the expression
3. 2a + 3 is a factor of the expression
4. 3 + 2a is a factor of the expression

Which answer is a fully factorised form of the following expression
5(a + 3) + 7(a + 3) - 2(a + 3)

1. 14(a + 3)
2. 10(a + 3)
3. 10(a - 3)
4. 10a + 30

INDEPENDENT STUDY

INDEPENDENT STUDY ANSWERS