Term - A term is single number or letter, or the product of numbers and/or variables. Each term is separated by the operators + and –
Expression - An expression contains one or more terms where each term is separated by an operator.

Coherence is the key here. What does this resemble from their prior learning with which they are very comfortable? 3 tens + 2 tens + 4 tens makes 9 tens. 3m + 2m + 4m makes 9m.

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Starter quiz

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6 Questions

Q1.

Look at $$4(y-7)+8(y-7)$$. Inside each bracket you can see matching __________.

equations

Correct answer: expressions

formulas

answers

Q2.

Which of the below is equivalent to $$6 \times 7+2 \times 7$$?

Correct answer: $$(6+2)\times 7$$

$$42 \times 14$$

$$(6+2) \times 14$$

Q3.

Expand $$5(x-3)$$

$$5x-3$$

$$5x+3$$

$$5x+15$$

Correct answer: $$5x-15$$

Q4.

Which of the below are equivalent to $$11 \times 6 + 11 \times 4$$?

$$66 \times 44$$

Correct answer: $$11 \times 10$$

$$22 \times (6+4)$$

$$22 \times 10$$

Correct answer: $$11 \times (6+4)$$

Q5.

Expand and simplify $$6(e-f)+2(f-e)$$

$$8e+8f$$

$$8e+4f$$

$$4e+8f$$

$$4e+4f$$

Correct answer: $$4e-4f$$

Q6.

Match the expressions to the correct first step when expanding before simpifying.

Correct Answer:$$5(a+3)+2(a-8)$$,$$5a+15+2a-16$$

$$5a+15+2a-16$$

Correct Answer:$$5(a-3)+2(a-8)$$,$$5a-15+2a-16$$

$$5a-15+2a-16$$

Correct Answer:$$5(a+3)-2(a+8)$$,$$5a+15-2a-16$$

$$5a+15-2a-16$$

Correct Answer:$$5(2a+3)+2(a-8)$$,$$10a+15+2a-16$$

$$10a+15+2a-16$$

Correct Answer:$$5a(a+3)+2(a-8)$$,$$5a^2+15a+2a-16$$

$$5a^2+15a+2a-16$$

Exit quiz

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6 Questions

Q1.

When you write $$3(y-8)+9(y-8)$$ as $$12(y-8)$$ you have __________ the expression.

solved

Correct answer: simplified

expanded

factorised

Q2.

Use this bar model to help you simplify the expression $$5(x+6)+2(x+6)$$

$$7(2x+12)$$

Correct answer: $$7(x+6)$$

$$7x+6$$

$$5x+6+2x+6 \equiv 7x+12$$

Q3.

Which of the below cannot be simplified before it is expanded?

$$5(x+8)+7(x+8)$$

$$5(y-3)+7(y-3)$$

Correct answer: $$5(x-3)+7(y-3)$$

$$5(x+8)-7(x+8)$$

$$5(x+8)+7(x+8)+3(x+8)$$

Q4.

Match each expression with a simplified expression.

Correct Answer:$$4(e+2)+6(e+2)$$,$$10(e+2)$$

$$10(e+2)$$

Correct Answer:$$4(e+2)+5(e+2)$$,$$9(e+2)$$

$$9(e+2)$$

Correct Answer:$$7(e+2)+3(e+2)-5(e+2)$$,$$5(e+2)$$

$$5(e+2)$$

Correct Answer:$$4(e+2)-5(e+2)$$,$$-e-2$$

$$-e-2$$

Correct Answer:$$4(e-2)-5(e-2)$$,$$2-e$$

$$2-e$$

Q5.

Which of the below is true for $$8y(x-4)+8y(x-5)$$?

$$x-4$$ and $$x-5$$ are not matching expressions so you can not simplify.

You have to expand first before simplifying.

Correct answer: Matching multipliers means you can simplify before expanding.

Q6.

Match each expression with a simplified expression.

Correct Answer:$$5(y+2)+5(y+6)$$,$$5(2y+8)$$

$$5(2y+8)$$

Correct Answer:$$5(y+2)+5(2y+6)$$,$$5(3y+8)$$

$$5(3y+8)$$

Correct Answer:$$5(y-1)+5(y+6)$$,$$5(2y+5)$$

$$5(2y+5)$$

Correct Answer:$$5(2y+2)-5(y+6)$$,$$5(y-4)$$

$$5(y-4)$$

Correct Answer:$$5(2y+2)-5(6-y)$$,$$5(3y-4)$$

$$5(3y-4)$$