1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(3B + 6A\right) $$ Correct Answer $$ 18B + 36A $$ 2. Expand the brackets to simplify the following:$$ -3\left(5X + 5y\right) $$ Correct Answer $$ -15X - 15y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3P + 5j\right)}^{2} $$ Correct Answer $$ 9{P}^{2} + 30Pj + 25{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3x + 6Y\right)}^{2} $$ Correct Answer $$ 9{x}^{2} - 36xY + 36{Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4g + 5j + -3n + 2j $$ Correct Answer $$ -4g + 7j - 3n $$ 2. Collect like terms to simplify the following:$$ -5R + (-d) + -2v + -4d $$ Correct Answer $$ -5R + -5d - 2v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + 4}{3x + 3} + \frac{-4x + 4}{-6x + 2} $$ Correct Answer $$ \frac{6{x}^{2} + -30x + 20}{-18{x}^{2} - 12x + 6} $$ 2. Simplify the following:$$ \frac{4x + -5}{5x + -6} + \frac{-5x + -1}{-6x + 4} $$ Correct Answer $$ \frac{-49{x}^{2} + 71x - 14}{-30{x}^{2} + 56x - 24} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = {2}^{x} - 4y + {6}^{\exp\left(z\right)},$$ Given that x = 1.0, y = -1.0, z = 2.0 Correct Answer 562000 2. Find h to 3 significant figures in the following equation: $$ h = \frac{(-x) - 4z}{2\sqrt{\sin\left(y\right)}},$$ Given that x = -6.0, y = 1.0, z = -2.0 Correct Answer 7.63

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{\sin\left(z\right) + \ln\left(y\right)}{\ln\left(-4x\right)} = \frac{{m}^{z}}{\sqrt{y}} + \frac{-6x}{\sqrt{y}},$$ Correct Answer $$m = {\left(\left(\frac{\sin\left(z\right) + \ln\left(y\right)}{\ln\left(-4x\right)} - \frac{-6x}{\sqrt{y}}\right)\sqrt{y}\right)}^{\frac{1}{z}}$$ 2. Rearrange the following equation to get an expression for m: $$2y\cos\left(z\right) - \frac{{4}^{y}}{x - z} = {3}^{\frac{m\sin\left(z\right)}{x}},$$ Correct Answer $$m = \frac{\frac{\ln\left(2y\cos\left(z\right) - \frac{{4}^{y}}{x - z}\right)}{\ln\left(3\right)}x}{\sin\left(z\right)}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-4{x}^{2} + 1x + 2 = 0$$ Correct Answer $$\frac{(-\left(\sqrt{33} - 1\right))}{8}$$ and $$\frac{(-\left(-1 - \sqrt{33}\right))}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(2c + -3Q\right) $$ Correct Answer $$ 4c - 6Q $$ 2. Expand the brackets to simplify the following:$$ -4\left(-2x + 4j\right) $$ Correct Answer $$ 8x - 16j $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2B + -4A\right)}^{2} $$ Correct Answer $$ 4{B}^{2} + 16BA + 16{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1a + 4A\right)}^{2} $$ Correct Answer $$ {a}^{2} + 8aA + 16{A}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5i + 5f + 2k + -6f $$ Correct Answer $$ 5i + (-f) + 2k $$ 2. Collect like terms to simplify the following:$$ 1c + (-Q) + -3l + (-Q) $$ Correct Answer $$ c + -2Q - 3l $$