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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4g + -5Y\right)}^{2} $$ Correct Answer $$ 16{g}^{2} + 40gY + 25{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5i + 6h\right)}^{2} $$ Correct Answer $$ 25{i}^{2} - 60ih + 36{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6i + 1b + 4l + -4b $$ Correct Answer $$ -6i + -3b + 4l $$ 2. Collect like terms to simplify the following:$$ 2g + -4h + (-v) + -6h $$ Correct Answer $$ 2g + -10h - v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + 6}{-5x + -2} + \frac{1x + -5}{6x + -3} $$ Correct Answer $$ \frac{-23{x}^{2} + 68x - 8}{-30{x}^{2} + 3x + 6} $$ 2. Simplify the following:$$ \frac{1x + -6}{-4x + -6} + \frac{1x + -1}{2x + 1} $$ Correct Answer $$ \frac{-2{x}^{2} - 13x}{-8{x}^{2} - 16x - 6} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \cos\left(yz\right)\cos\left(5x\right),$$ Given that x = -2.0, y = -3.0, z = 5.0 Correct Answer 0.637 2. Find k to 3 significant figures in the following equation: $$ k = {6}^{\frac{y}{x}} + \sin\left(3z\right),$$ Given that x = 4.0, y = -4.0, z = -6.0 Correct Answer 0.918

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$6{x}^{2} + 6x = 2$$ Correct Answer $$\frac{\sqrt{84} - 6}{12}$$ and $$\frac{-6 - \sqrt{84}}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(-4i + -6b\right)) $$ Correct Answer $$ 4i + 6b $$ 2. Expand the brackets to simplify the following:$$ 3\left(5g + -5b\right) $$ Correct Answer $$ 15g - 15b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2a + -2Q\right)}^{2} $$ Correct Answer $$ 4{a}^{2} + 8aQ + 4{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5i + -2h\right)}^{2} $$ Correct Answer $$ 25{i}^{2} - 20ih + 4{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4P + -5b + -4u + -4b $$ Correct Answer $$ -4P + -9b - 4u $$ 2. Collect like terms to simplify the following:$$ -5X + 4y + 6Z + -2y $$ Correct Answer $$ -5X + 2y + 6Z $$