1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(4a + -6f\right) $$ Correct Answer $$ -20a + 30f $$ 2. Expand the brackets to simplify the following:$$ -5\left(3X + -5Q\right) $$ Correct Answer $$ -15X + 25Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2a + 3j\right)}^{2} $$ Correct Answer $$ 4{a}^{2} + 12aj + 9{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5P + 3A\right)}^{2} $$ Correct Answer $$ 25{P}^{2} + 30PA + 9{A}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4X + -2Q + 4z + (-Q) $$ Correct Answer $$ -4X + -3Q + 4z $$ 2. Collect like terms to simplify the following:$$ -6P + 5Q + 1m + -2Q $$ Correct Answer $$ -6P + 3Q + m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-2x + -1}{1x + 2} + \frac{2x + -5}{6x + 5} $$ Correct Answer $$ \frac{-10{x}^{2} + -17x - 15}{6{x}^{2} + 17x + 10} $$ 2. Simplify the following:$$ \frac{-4x + 2}{6x + -3} + \frac{3x + 3}{3x + 3} $$ Correct Answer $$ \frac{6{x}^{2} + 3x - 3}{18{x}^{2} + 9x - 9} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \exp\left(x - y\right)\exp\left(yz\right),$$ Given that x = -3.0, y = -1.0, z = 2.0 Correct Answer 0.0183 2. Find V to 3 significant figures in the following equation: $$ V = \left(x + y - \sin\left(y\right)\right)\exp\left(\sin\left(z\right)\right),$$ Given that x = -4.0, y = -4.0, z = -3.0 Correct Answer -7.60

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$2{x}^{2} + 4x = 2$$ Correct Answer $$\frac{\sqrt{32} - 4}{4}$$ and $$\frac{-4 - \sqrt{32}}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(-4c + -2f\right) $$ Correct Answer $$ 20c + 10f $$ 2. Expand the brackets to simplify the following:$$ 1\left(2c + (-h)\right) $$ Correct Answer $$ 2c - h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5a + 4h\right)}^{2} $$ Correct Answer $$ 25{a}^{2} + 40ah + 16{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4i + 6j\right)}^{2} $$ Correct Answer $$ 16{i}^{2} + 48ij + 36{j}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1R + -4j + 3n + 6j $$ Correct Answer $$ R + 2j + 3n $$ 2. Collect like terms to simplify the following:$$ -5X + 6y + 4k + -2y $$ Correct Answer $$ -5X + 4y + 4k $$