1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(3e + 6h\right) $$ Correct Answer $$ 18e + 36h $$ 2. Expand the brackets to simplify the following:$$ 1\left((-e) + -6j\right) $$ Correct Answer $$ (-e) - 6j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1B + 2A\right)}^{2} $$ Correct Answer $$ {B}^{2} + 4BA + 4{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5i + 3j\right)}^{2} $$ Correct Answer $$ 25{i}^{2} + 30ij + 9{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3i + 5Q + 5n + 3Q $$ Correct Answer $$ 3i + 8Q + 5n $$ 2. Collect like terms to simplify the following:$$ -3x + -6f + 5k + 2f $$ Correct Answer $$ -3x + -4f + 5k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{2x + -6}{-4x + 3} + \frac{2x + -2}{2x + -3} $$ Correct Answer $$ \frac{-4{x}^{2} + -4x + 12}{-8{x}^{2} + 18x - 9} $$ 2. Simplify the following:$$ \frac{-6x + 3}{2x + -6} + \frac{-6x + -6}{-4x + -6} $$ Correct Answer $$ \frac{12{x}^{2} + 48x + 18}{-8{x}^{2} + 12x + 36} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{4y}{\cos\left(z\right)} - \ln\left({6}^{x}\right),$$ Given that x = 5.0, y = -6.0, z = 3.0 Correct Answer 15.3 2. Find V to 3 significant figures in the following equation: $$ V = \frac{{2}^{y} - \exp\left(x\right)}{\ln\left(\frac{x}{z}\right)},$$ Given that x = -5.0, y = -3.0, z = -1.0 Correct Answer 0.0735

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{\left((-y) + \sqrt{x}\right)\sin\left(x\right)}{\ln\left(z\right)} = \frac{\left(m - z\right)\sin\left(y + 2\right)}{\sqrt{x}},$$ Correct Answer $$m = \frac{\frac{\left((-y) + \sqrt{x}\right)\sin\left(x\right)}{\ln\left(z\right)}\sqrt{x}}{\sin\left(y + 2\right)} + z$$ 2. Rearrange the following equation to get an expression for m: $$\cos\left(yz + \exp\left(x\right)\right) = \frac{\left(x - 1\right)m}{z} + {5}^{\sqrt{z}},$$ Correct Answer $$m = \frac{\left(\cos\left(yz + \exp\left(x\right)\right) - {5}^{\sqrt{z}}\right)z}{x - 1}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$2{x}^{2} + -5x = 6$$ Correct Answer $$\frac{5 + \sqrt{73}}{4}$$ and $$\frac{5 - \sqrt{73}}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(5X + (-j)\right) $$ Correct Answer $$ 15X - 3j $$ 2. Expand the brackets to simplify the following:$$ -6\left(-5P + 1f\right) $$ Correct Answer $$ 30P - 6f $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5P + -6f\right)}^{2} $$ Correct Answer $$ 25{P}^{2} - 60Pf + 36{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2e + -2Y\right)}^{2} $$ Correct Answer $$ 4{e}^{2} + 8eY + 4{Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5g + 2j + (-l) + 6j $$ Correct Answer $$ 5g + 8j - l $$ 2. Collect like terms to simplify the following:$$ -4g + -4b + (-n) + -4b $$ Correct Answer $$ -4g + -8b - n $$