# Grade 9 Math: Linear Relations and Equations Distributive Property

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True
False

### Which of the following statements are true?

If present, parenthesis are the first step in the order of operations
You add or subtract before you multiply or divide
You multiply or divide before you add and subtract
a and c

### Simplify the following equation: $$\frac{2x(3x+4x+8+2)}{2}$$

$$7x^{2}+10x$$
$$6x^{2}+10x$$
$$6x^{2}+10$$
$$6x+10$$

### Simplify the following equation: $$x(3x^{2}-4x+11)-3(x^2-3x-4)$$

$$3x^{3}-x^{2}+20x+12$$
$$3x^{3}-7x^{2}+20x+12$$
$$3x^{3}+7x^{2}+20x+12$$
$$3x^{3}-7x^{2}+20x-1212$$
### Simplify the following equation: $$3x((3(x^{2})^{2})3x+5)+3(x^2+3x(x^{2}+4)$$
$$9x^{6}+3x^{3}+46x^{2}+12$$
$$9x^{6}+3x+46x^{2}+12$$
$$x^{6}+3x^{3}+46x^{2}+12$$
$$9x^{6}+3x^{3}+46x^{2}$$