1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-5x + -4y\right) $$ Correct Answer $$ -20x - 16y $$ 2. Expand the brackets to simplify the following:$$ -4\left(3x + -3y\right) $$ Correct Answer $$ -12x + 12y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-X) + (-b)\right)}^{2} $$ Correct Answer $$ {X}^{2} + 2Xb + {b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3e + (-A)\right)}^{2} $$ Correct Answer $$ 9{e}^{2} - 6eA + {A}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6i + -2Q + -4Z + 3Q $$ Correct Answer $$ -6i + Q - 4Z $$ 2. Collect like terms to simplify the following:$$ -4c + -5h + 5k + 1h $$ Correct Answer $$ -4c + -4h + 5k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 3}{3x + -6} + \frac{6x + -1}{3x + 2} $$ Correct Answer $$ \frac{33{x}^{2} + -20x + 12}{9{x}^{2} - 12x - 12} $$ 2. Simplify the following:$$ \frac{-4x + 5}{-2x + 5} + \frac{2x + 2}{-2x + -2} $$ Correct Answer $$ \frac{4{x}^{2} + 4x}{4{x}^{2} - 6x - 10} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{-5\left(x - z\right)}{z} + \frac{\left(z + x\right)y}{x},$$ Given that x = -2.0, y = -3.0, z = -2.0 Correct Answer -6.00 2. Find h to 3 significant figures in the following equation: $$ h = \left(z + x\right)\sin\left(z\right) - \left(xy + 6z\right),$$ Given that x = 1.0, y = -1.0, z = -4.0 Correct Answer 22.7

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{xy}{\sin\left(z\right)} + \cos\left(2 + x\right) = my - {6}^{z} + \ln\left(z + x\right),$$ Correct Answer $$m = \frac{\frac{xy}{\sin\left(z\right)} + \cos\left(2 + x\right) - \ln\left(z + x\right) + {6}^{z}}{y}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{\sqrt{y}\ln\left(x\right)}{\exp\left(y\right) + \exp\left(z\right)} = \frac{-5}{ym} - \exp\left(z - y\right),$$ Correct Answer $$m = \frac{\frac{-5}{\frac{\sqrt{y}\ln\left(x\right)}{\exp\left(y\right) + \exp\left(z\right)} + \exp\left(z - y\right)}}{y}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-6{x}^{2} + -4x = -6$$ Correct Answer $$\frac{(-\left(4 + \sqrt{160}\right))}{12}$$ and $$\frac{(-\left(4 - \sqrt{160}\right))}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(-2c + 2d\right) $$ Correct Answer $$ -6c + 6d $$ 2. Expand the brackets to simplify the following:$$ -5\left(2i + -6d\right) $$ Correct Answer $$ -10i + 30d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2e + 3d\right)}^{2} $$ Correct Answer $$ 4{e}^{2} + 12ed + 9{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3X + -2f\right)}^{2} $$ Correct Answer $$ 9{X}^{2} - 12Xf + 4{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3e + 1Y + 2z + (-Y) $$ Correct Answer $$ -3e + 2z $$ 2. Collect like terms to simplify the following:$$ 1c + 2j + -3u + (-j) $$ Correct Answer $$ c + j - 3u $$