1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left((-X) + -3A\right) $$ Correct Answer $$ -5X - 15A $$ 2. Expand the brackets to simplify the following:$$ 2\left(4B + -2j\right) $$ Correct Answer $$ 8B - 4j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2g + -4Y\right)}^{2} $$ Correct Answer $$ 4{g}^{2} - 16gY + 16{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3c + -4h\right)}^{2} $$ Correct Answer $$ 9{c}^{2} - 24ch + 16{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2i + -4f + 5l + -5f $$ Correct Answer $$ 2i + -9f + 5l $$ 2. Collect like terms to simplify the following:$$ 3e + 2h + 4u + 1h $$ Correct Answer $$ 3e + 3h + 4u $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-6x + -3}{(-x) + -6} + \frac{2x + -1}{1x + 6} $$ Correct Answer $$ \frac{-8{x}^{2} + -50x - 12}{(-{x}^{2}) - 12x - 36} $$ 2. Simplify the following:$$ \frac{6x + 4}{(-x) + -1} + \frac{3x + 1}{-6x + 5} $$ Correct Answer $$ \frac{-39{x}^{2} + 2x + 19}{6{x}^{2} + x - 5} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = 3 - x + \cos\left(y\right) - \left(4z + \exp\left(x\right)\right),$$ Given that x = -5.0, y = 6.0, z = 3.0 Correct Answer -3.05 2. Find V to 3 significant figures in the following equation: $$ V = \left(-3 - z\right)\cos\left(y\right) - \frac{zy}{2x},$$ Given that x = 4.0, y = 1.0, z = 2.0 Correct Answer -2.95

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$5{x}^{2} + -5x + -3 = 0$$ Correct Answer $$\frac{5 + \sqrt{85}}{10}$$ and $$\frac{5 - \sqrt{85}}{10}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(5i + 3d\right) $$ Correct Answer $$ -20i - 12d $$ 2. Expand the brackets to simplify the following:$$ (-\left(1c + -3f\right)) $$ Correct Answer $$ (-c) + 3f $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6x + 5j\right)}^{2} $$ Correct Answer $$ 36{x}^{2} - 60xj + 25{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4B + 6y\right)}^{2} $$ Correct Answer $$ 16{B}^{2} + 48By + 36{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-X) + 1h + 2u + -6h $$ Correct Answer $$ (-X) + -5h + 2u $$ 2. Collect like terms to simplify the following:$$ 1X + -4S + 6m + 4S $$ Correct Answer $$ X + 6m $$