Quiz about PPSHS - Year 7 Maths - Distributive Law

Question 1

$$a\left(b+c\right)$$

Apply distributive law to this expression by removing the brackets.

Accepted Answer

$$ab+ac$$

Answer

$$ab-ac$$

Answer

$$ab+bc$$

Answer

$$ab imes ac$$

Question 2

$$Expand\ 8\left(a-4\right)$$

Accepted Answer

$$8a-32$$

Answer

$$a-32$$

Answer

$$8a-4$$

Answer

$$8-4a$$

Question 3

$$Expand\ 4e\left(m+10y\right)$$

Accepted Answer

$$4em+40ey$$

Answer

$$4em+40y$$

Answer

$$4em+10ey$$

Answer

$$4emy+40e$$

Question 4

$$Expand\ 6\left(4n+5\right)$$

Accepted Answer

$$24n+30$$

Answer

$$6 imes4n+5$$

Answer

$$6n+30$$

Answer

$$24n+5$$

Question 5

$$Expand\ 5a\left(2x+3v\right)$$

The first line of working would be:

Accepted Answer

$$5a imes2x+5a imes3v$$

Answer

$$5a imes x+15v$$

Answer

$$5a imes x+5a imes v$$

Answer

$$5a imes2x+3v$$

Question 6

$$A\ number\ x\ has\ 3\ added\ to\ it,\ and\ the\ result\ is\ multiplied\ by\ 5.$$

Write a mathematical expression for this.

Accepted Answer

$$5\left(x+3\right)$$

Answer

$$x+3 imes5$$

Answer

$$x\left(5+3\right)$$

Answer

$$3\left(x+5\right)$$

Question 7

$$A\ number\ x\ has\ 3\ added\ to\ it,\ and\ the\ result\ is\ multiplied\ by\ 5.$$

Write the correct mathematical expression in expanded form.

Accepted Answer

$$5x+15$$

Answer

$$3x+15$$

Answer

$$x+15$$

Answer

$$5x+3x$$

Question 8

Expand using Distributive Law. $$2\left(2u+6\right)$$

Accepted Answer

$$4u+12$$

Answer

$$2u+6$$

Answer

$$2u+12$$

Answer

$$4u+6$$

Question 9

Use distributive law to expand this expression. $$2x\left(8x-2\right)$$

Accepted Answer

$$16x^2-4x$$

Answer

$$16x-4x^2$$

Answer

$$2x^2-4x$$

Answer

$$16x-4x$$

Question 10

$$Expand\ 2y\left(3a+y\right)$$

Accepted Answer

$$6ay+2y^2$$

Answer

$$6ay+2y$$

Answer

$$6a+2y$$

Answer

$$6y+2y$$

Question 11

$$Expand\ 4\left(a+c\right)$$

Accepted Answer

$$4a+4c$$

Answer

$$4a+ac$$

Answer

$$4+ac$$

Answer

$$4a+c$$

Question 12

$$Expand\ 4\left(a-c\right)$$

Accepted Answer

$$4a-4c$$

Answer

$$4-ac$$

Answer

$$4a+c$$

Answer

$$4a-c$$

Question 13

$$Expand\ 4\left(8-2\right)$$

Accepted Answer

$$4 imes8-4 imes2$$

Answer

$$4a-8$$

Answer

$$32-2$$

Answer

$$4 imes8-2$$

Question 14

$$7k\left(2v+5y\right)$$

Expand this expression.

Accepted Answer

$$14kv+35ky$$

Answer

$$7k2v+7k5y$$

Answer

$$14kv+35y$$

Answer

$$14k+35ky$$

Question 15

$$-5\left(9+g\right)$$

Expand this expression.

Accepted Answer

$$-45-5g$$

Answer

$$-45+5g$$

Answer

$$-45+5g$$

Answer

$$-45-5+g$$

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