1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(5i + 4Q\right) $$ Correct Answer $$ -20i - 16Q $$ 2. Expand the brackets to simplify the following:$$ 5\left(-5P + -3Y\right) $$ Correct Answer $$ -25P - 15Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-c) + -6Q\right)}^{2} $$ Correct Answer $$ {c}^{2} + 12cQ + 36{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5i + (-A)\right)}^{2} $$ Correct Answer $$ 25{i}^{2} + 10iA + {A}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3R + 3S + -5u + 4S $$ Correct Answer $$ 3R + 7S - 5u $$ 2. Collect like terms to simplify the following:$$ 1e + 6d + 3l + 5d $$ Correct Answer $$ e + 11d + 3l $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + 4}{-6x + -4} + \frac{(-x) + -3}{(-x) + 4} $$ Correct Answer $$ \frac{2{x}^{2} + 34x + 28}{6{x}^{2} - 20x - 16} $$ 2. Simplify the following:$$ \frac{(-x) + -5}{6x + 3} + \frac{4x + -5}{(-x) + -3} $$ Correct Answer $$ \frac{25{x}^{2} - 10x}{-6{x}^{2} - 21x - 9} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{x + 12y - 3\left(2z + y + 2\right)}{3},$$ Given that x = -1.0, y = 2.0, z = -5.0 Correct Answer 13.7 2. Find B to 3 significant figures in the following equation: $$ B = \frac{y + x}{\exp\left(x\right)} - \ln\left(\sin\left(z\right)\right),$$ Given that x = 4.0, y = -6.0, z = -4.0 Correct Answer 0.242

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\cos\left(\frac{z\sin\left(y\right)}{x}\right) = \frac{mxy}{\ln\left(y\right)},$$ Correct Answer $$m = \frac{\frac{\cos\left(\frac{z\sin\left(y\right)}{x}\right)\ln\left(y\right)}{y}}{x}$$ 2. Rearrange the following equation to get an expression for m: $$\ln\left(\left(y - 5\right)\left(z + x\right)\right) = {3}^{\left(y + m\right)}\sin\left(2z\right),$$ Correct Answer $$m = \frac{\ln\left(\frac{\ln\left(\left(y - 5\right)\left(z + x\right)\right)}{\sin\left(2z\right)}\right)}{\ln\left(3\right)} - y$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$6{x}^{2} + 1x + -3 = 0$$ Correct Answer $$\frac{\sqrt{73} - 1}{12}$$ and $$\frac{-1 - \sqrt{73}}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(3a + 5A\right) $$ Correct Answer $$ 6a + 10A $$ 2. Expand the brackets to simplify the following:$$ -5\left(-5P + -4Q\right) $$ Correct Answer $$ 25P + 20Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(4i + 3Y\right)}^{2} $$ Correct Answer $$ 16{i}^{2} + 24iY + 9{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-x) + 3d\right)}^{2} $$ Correct Answer $$ {x}^{2} - 6xd + 9{d}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-P) + -3h + -5m + -4h $$ Correct Answer $$ (-P) + -7h - 5m $$ 2. Collect like terms to simplify the following:$$ 6X + -6d + -5m + 2d $$ Correct Answer $$ 6X + -4d - 5m $$