1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(-5x + -3Q\right) $$ Correct Answer $$ 30x + 18Q $$ 2. Expand the brackets to simplify the following:$$ (-\left((-c) + 1Y\right)) $$ Correct Answer $$ c - Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2e + -5d\right)}^{2} $$ Correct Answer $$ 4{e}^{2} + 20ed + 25{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1x + -5h\right)}^{2} $$ Correct Answer $$ {x}^{2} - 10xh + 25{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2c + -6h + 4l + -2h $$ Correct Answer $$ 2c + -8h + 4l $$ 2. Collect like terms to simplify the following:$$ 5P + 5Q + 4n + (-Q) $$ Correct Answer $$ 5P + 4Q + 4n $$

4.

Adding fractions 1. Simplify the following:$$ \frac{6x + -4}{(-x) + -3} + \frac{3x + -2}{4x + 4} $$ Correct Answer $$ \frac{21{x}^{2} + x - 10}{-4{x}^{2} - 16x - 12} $$ 2. Simplify the following:$$ \frac{1x + 4}{-6x + -4} + \frac{6x + 1}{-5x + 3} $$ Correct Answer $$ \frac{-41{x}^{2} + -47x + 8}{30{x}^{2} + 2x - 12} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = {2}^{x}\left(5 - z\right) - \left(x - 6\right)\left(x + y\right),$$ Given that x = 5.0, y = 5.0, z = -4.0 Correct Answer 298 2. Find V to 3 significant figures in the following equation: $$ V = \frac{z\left(1 + y\right)}{y} - \exp\left(\frac{x}{6}\right),$$ Given that x = 6.0, y = 2.0, z = -5.0 Correct Answer -10.2

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 5x = -2$$ Correct Answer $$\frac{\sqrt{17} - 5}{2}$$ and $$\frac{-5 - \sqrt{17}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(-2a + -4d\right)) $$ Correct Answer $$ 2a + 4d $$ 2. Expand the brackets to simplify the following:$$ -3\left(4g + 6A\right) $$ Correct Answer $$ -12g - 18A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2g + -6y\right)}^{2} $$ Correct Answer $$ 4{g}^{2} + 24gy + 36{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3e + 4Q\right)}^{2} $$ Correct Answer $$ 9{e}^{2} - 24eQ + 16{Q}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5c + -3j + -4Z + 1j $$ Correct Answer $$ 5c + -2j - 4Z $$ 2. Collect like terms to simplify the following:$$ 6R + -6Q + 1v + -6Q $$ Correct Answer $$ 6R + -12Q + v $$