I can use the distributive law to multiply an expression by a constant.
I can use the distributive law to multiply an expression by a constant.
Constant - A constant is a term that does not change; it contains no variables.
3(y+2) expands to 3y+2.
3 lots of 12 isn't 3x10+2 so 3 lots of (y+2) isn't 3y+2. Get students to draw this out. To visualise it.
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$$5 \times y$$ -Â $$5y$$
$$5 \times x$$ -Â $$5x$$
$$x \times y$$ -Â $$xy$$
$$-5 \times y$$ -Â $$-5y$$
$$x \times -5$$ -Â $$-5x$$
$$3 \times -4a$$ -Â $$-12a$$
$$3 \times -4b$$ -Â $$-12b$$
$$-3 \times -4a$$ -Â $$12a$$
$$-6b \times -2$$ -Â $$12b$$
$$-3 \times 2a \times -2b$$ -Â $$12ab$$
$$-3 \times -2a \times -2b$$ -Â $$-12ab$$
$$5(x+4)$$ -Â $$5x+20$$
$$4(x+5)$$ -Â $$4x+20$$
$$10(x+2)$$ -Â $$10x+20$$
$$2(x+10)$$ -Â $$2x+20$$
$$10(x+4)$$ -Â $$10x+40$$
$$4(x+10)$$ -Â $$4x+40$$
$$-2(-x-5)$$ -Â $$2x+10$$
$$-2(x+5)$$ -Â $$-2x-10$$
$$-2(x-5)$$ -Â $$-2x+10$$
$$-2(5-x)$$ -Â $$2x-10$$
