1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(-6c + 5Q\right) $$ Correct Answer $$ 24c - 20Q $$ 2. Expand the brackets to simplify the following:$$ 4\left(6x + 6d\right) $$ Correct Answer $$ 24x + 24d $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3B + 1Y\right)}^{2} $$ Correct Answer $$ 9{B}^{2} - 6BY + {Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3i + 2Q\right)}^{2} $$ Correct Answer $$ 9{i}^{2} - 12iQ + 4{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 4a + -4Y + -2n + -3Y $$ Correct Answer $$ 4a + -7Y - 2n $$ 2. Collect like terms to simplify the following:$$ 2i + -6y + -2z + 1y $$ Correct Answer $$ 2i + -5y - 2z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{3x + -5}{3x + -6} + \frac{1x + -5}{1x + -3} $$ Correct Answer $$ \frac{6{x}^{2} + -35x + 45}{3{x}^{2} - 15x + 18} $$ 2. Simplify the following:$$ \frac{1x + 3}{(-x) + -6} + \frac{-3x + -5}{-6x + -4} $$ Correct Answer $$ \frac{-3{x}^{2} + x + 18}{6{x}^{2} + 40x + 24} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{\cos\left(z\right)}{\ln\left(x\right)} + \cos\left(\sqrt{y}\right),$$ Given that x = 2.0, y = 3.0, z = -4.0 Correct Answer -1.10 2. Find h to 3 significant figures in the following equation: $$ h = \left(x - z\right)\cos\left(y\right) + \exp\left(\frac{(-x)}{2}\right),$$ Given that x = -1.0, y = 3.0, z = 2.0 Correct Answer 4.62

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{z\left(3 - y\right)}{x\sqrt{\sin\left(z\right)}} = \frac{\left(z - y\right)\left(m + \exp\left(x\right)\right)}{\sqrt{x}},$$ Correct Answer $$m = \frac{\frac{z\left(3 - y\right)}{x\sqrt{\sin\left(z\right)}}\sqrt{x}}{z - y} - \exp\left(x\right)$$ 2. Rearrange the following equation to get an expression for m: $$\left(y - 4\right)\left(x - 6\right) + \exp\left(\sin\left(z\right)\right) = \frac{\left(m + z\right)\sqrt{x - 1}}{\ln\left(z\right)},$$ Correct Answer $$m = \frac{\left(\left(y - 4\right)\left(x - 6\right) + \exp\left(\sin\left(z\right)\right)\right)\ln\left(z\right)}{\sqrt{x - 1}} - z$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-4{x}^{2} + -2x = -5$$ Correct Answer $$\frac{(-\left(2 + \sqrt{84}\right))}{8}$$ and $$\frac{(-\left(2 - \sqrt{84}\right))}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(-2B + -5b\right) $$ Correct Answer $$ -2B - 5b $$ 2. Expand the brackets to simplify the following:$$ 4\left(6P + (-d)\right) $$ Correct Answer $$ 24P - 4d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1B + -6Y\right)}^{2} $$ Correct Answer $$ {B}^{2} - 12BY + 36{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6i + -5h\right)}^{2} $$ Correct Answer $$ 36{i}^{2} - 60ih + 25{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-P) + 4y + -5z + -2y $$ Correct Answer $$ (-P) + 2y - 5z $$ 2. Collect like terms to simplify the following:$$ 5g + 3S + 4l + 5S $$ Correct Answer $$ 5g + 8S + 4l $$