1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(2P + 2Y\right) $$ Correct Answer $$ -8P - 8Y $$ 2. Expand the brackets to simplify the following:$$ 2\left(4X + 6y\right) $$ Correct Answer $$ 8X + 12y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-P) + -3h\right)}^{2} $$ Correct Answer $$ {P}^{2} + 6Ph + 9{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3a + 6j\right)}^{2} $$ Correct Answer $$ 9{a}^{2} + 36aj + 36{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3P + 5f + 4Z + -6f $$ Correct Answer $$ 3P + (-f) + 4Z $$ 2. Collect like terms to simplify the following:$$ -3R + -6j + -2k + 2j $$ Correct Answer $$ -3R + -4j - 2k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{2x + -2}{-5x + 2} + \frac{3x + -1}{4x + 4} $$ Correct Answer $$ \frac{-7{x}^{2} + 11x - 10}{-20{x}^{2} - 12x + 8} $$ 2. Simplify the following:$$ \frac{5x + 6}{6x + -6} + \frac{-2x + 4}{5x + -4} $$ Correct Answer $$ \frac{13{x}^{2} + 46x - 48}{30{x}^{2} - 54x + 24} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \frac{{2}^{z}\exp\left(y\right)}{{5}^{z}\sqrt{x}},$$ Given that x = 2.0, y = 3.0, z = 6.0 Correct Answer 0.0582 2. Find h to 3 significant figures in the following equation: $$ h = \exp\left(x + y\right) + \sin\left(\frac{z}{4}\right),$$ Given that x = -1.0, y = -1.0, z = -1.0 Correct Answer -0.112

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-3{x}^{2} + 5x + 3 = 0$$ Correct Answer $$\frac{(-\left(\sqrt{61} - 5\right))}{6}$$ and $$\frac{(-\left(-5 - \sqrt{61}\right))}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(6i + (-Q)\right) $$ Correct Answer $$ -36i + 6Q $$ 2. Expand the brackets to simplify the following:$$ 4\left(-3g + 3y\right) $$ Correct Answer $$ -12g + 12y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3X + -6Q\right)}^{2} $$ Correct Answer $$ 9{X}^{2} - 36XQ + 36{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3P + 4b\right)}^{2} $$ Correct Answer $$ 9{P}^{2} - 24Pb + 16{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-R) + 5Y + 6z + 2Y $$ Correct Answer $$ (-R) + 7Y + 6z $$ 2. Collect like terms to simplify the following:$$ -3x + -5S + 4n + -3S $$ Correct Answer $$ -3x + -8S + 4n $$