W33 Blitz Understanding Expressions and Equations

$$2 \times 3 \times 5$$

$$8 \times 5$$

$$2^5$$

$$2^3 + 5$$

$$2 \times 3 \times 6$$

$$2^2 \times 3^2$$

$$3^3 \times 2$$

$$2^3 \times 3$$

$$4x + 7 = 19$$

$$3y - 2$$

$$x = 5$$

$$2 + 2 = 4$$

An expression always contains an equal sign, but an equation does not.

An equation shows a relationship between two equal values, while an expression does not have an equal sign.

Both expressions and equations always have variables.

An equation cannot be solved, but an expression can.

Yes, because both simplify to the same value for any $$x$$ .

No, because $$3(x + 2)$$ is always greater than $$3x + 6$$ .

No, because $$3x + 6$$ cannot be factored.

Yes, but only when $$x = 0$$ .

$$2(x + 4)$$ and $$2x + 8$$

$$5y - 3y$$ and $$2y$$

$$4 + 3$$ and $$3 + 4$$

$$6x$$ and $$6 + x$$

Commutative Property

Associative Property

Distributive Property

Identity Property

$$a + 0 = a$$

$$a \times (b + c) = a \times b + a \times c$$

$$a + b = b + a$$

$$a \times 1 = a$$

$$4x$$

$$0$$

$$4x + 1$$

$$x + 4$$

$$a + 0 = a$$

$$a + (-a) = 0$$

$$a \times 1 = a$$

$$a \times 0 = 0$$