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In this lesson, we will learn how to rewrite algebraic expressions using the distributive property.

Q1:

Using the distributive property, rewrite the expression ( β 2 π₯ β 8 ) ( β 6 ) .

Q2:

Expand β 2 π₯ ( 5 π₯ β 5 π₯ ) 3 2 .

Q3:

Expand and simplify 4 ( 2 π₯ + 3 ) + 2 ( 4 π₯ + 4 ) .

Q4:

Use the distributive property to rewrite the algebraic expression 4 ( π₯ β 9 ) .

Q5:

Which of the following demonstrates the distributive property?

Q6:

Identify the expression which is not equivalent to the other three.

Q7:

Maged had b dollars in his savings account and then he deposited $11. seven months later, his balance had doubled. Which of the following is equivalent to his new balance of dollars?

Q8:

Write an expression in terms of π₯ , for the perimeter of the figure below.

Q9:

Find the perimeter of the following shape.

Q10:

A square of side 3 cm has a square of side 6 π₯ cm cut from one corner as shown in the diagram. Write, in its simplest form, an expression for the perimeter of the remaining shape.

Q11:

Factor 3 0 π π + 4 5 π π 2 2 completely.

Q12:

A student solving the equation 4 ( π₯ β 3 ) = 2 4 writes down 4 π₯ β 1 2 = 2 4 as their first line of working. What algebraic property did they use?

Q13:

Determine the value of π₯ that makes the equation 4 ( 7 + 5 ) = 2 8 + π₯ true.

Q14:

Use the properties of real numbers to rewrite 6 ( π₯ + 3 ) as an equivalent expression that does not contain brackets.

Q15:

What property is illustrated by the shown step:

Q16:

Which of the following expressions is equivalent to 7 ( 3 β 8 π₯ ) ?

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