1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(-6g + -6f\right)) $$ Correct Answer $$ 6g + 6f $$ 2. Expand the brackets to simplify the following:$$ 6\left(5B + -4y\right) $$ Correct Answer $$ 30B - 24y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(4i + -2Q\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 16iQ + 4{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3i + 6Q\right)}^{2} $$ Correct Answer $$ 9{i}^{2} + 36iQ + 36{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5c + -5S + -3n + -3S $$ Correct Answer $$ -5c + -8S - 3n $$ 2. Collect like terms to simplify the following:$$ 2X + 2S + -2u + 3S $$ Correct Answer $$ 2X + 5S - 2u $$

4.

Adding fractions 1. Simplify the following:$$ \frac{2x + -3}{2x + 1} + \frac{1x + 4}{-6x + -2} $$ Correct Answer $$ \frac{-10{x}^{2} + 23x + 10}{-12{x}^{2} - 10x - 2} $$ 2. Simplify the following:$$ \frac{1x + -6}{-3x + 4} + \frac{6x + 5}{3x + -6} $$ Correct Answer $$ \frac{-15{x}^{2} + -15x + 56}{-9{x}^{2} + 30x - 24} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \cos\left(\ln\left(z\right)\right) - \ln\left(xy\right),$$ Given that x = 6.0, y = 6.0, z = 3.0 Correct Answer -3.13 2. Find B to 3 significant figures in the following equation: $$ B = \frac{\cos\left(x\right)\sqrt{y}}{\sin\left(z - y\right)},$$ Given that x = 3.0, y = 5.0, z = -1.0 Correct Answer -7.92

6.

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

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

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(-6g + -4y\right) $$ Correct Answer $$ -6g - 4y $$ 2. Expand the brackets to simplify the following:$$ (-\left(-5i + 3Q\right)) $$ Correct Answer $$ 5i - 3Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4c + -6Y\right)}^{2} $$ Correct Answer $$ 16{c}^{2} + 48cY + 36{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3e + 2Q\right)}^{2} $$ Correct Answer $$ 9{e}^{2} - 12eQ + 4{Q}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5i + -2j + (-k) + 3j $$ Correct Answer $$ -5i + j - k $$ 2. Collect like terms to simplify the following:$$ -2c + 5j + 5k + 2j $$ Correct Answer $$ -2c + 7j + 5k $$