1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(-4e + -2Y\right) $$ Correct Answer $$ -24e - 12Y $$ 2. Expand the brackets to simplify the following:$$ -3\left(5x + -2Q\right) $$ Correct Answer $$ -15x + 6Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5P + -6h\right)}^{2} $$ Correct Answer $$ 25{P}^{2} - 60Ph + 36{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2x + -6f\right)}^{2} $$ Correct Answer $$ 4{x}^{2} + 24xf + 36{f}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2c + 2j + -3v + -5j $$ Correct Answer $$ -2c + -3j - 3v $$ 2. Collect like terms to simplify the following:$$ 5R + -4Q + 2m + 2Q $$ Correct Answer $$ 5R + -2Q + 2m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + 1}{-4x + 1} + \frac{-6x + -6}{-2x + -6} $$ Correct Answer $$ \frac{16{x}^{2} + -8x - 12}{8{x}^{2} + 22x - 6} $$ 2. Simplify the following:$$ \frac{-4x + -4}{5x + -6} + \frac{6x + 5}{-5x + -1} $$ Correct Answer $$ \frac{50{x}^{2} + 13x - 26}{-25{x}^{2} + 25x + 6} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{4\exp\left(y\right)\cos\left(x\right)}{(-z) + 4\sin\left(z\right)},$$ Given that x = -4.0, y = -1.0, z = 1.0 Correct Answer -0.407 2. Find V to 3 significant figures in the following equation: $$ V = \frac{{5}^{x}\left({2}^{z} - {2}^{y}\right)}{x - z},$$ Given that x = 5.0, y = 4.0, z = 1.0 Correct Answer -10900

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\exp\left(\frac{(-z\left(y - x\right))}{5}\right) = \frac{m}{y} + \cos\left(y\right) - \sqrt{x - z},$$ Correct Answer $$m = \left(\exp\left(\frac{(-z\left(y - x\right))}{5}\right) + \sqrt{x - z} - \cos\left(y\right)\right)y$$ 2. Rearrange the following equation to get an expression for m: $$\left(xy + \sin\left(z\right)\right)\sqrt{\exp\left(x\right)} = \frac{6\left(x - 4\right)m}{z\left(y - 1\right)},$$ Correct Answer $$m = \frac{\frac{\left(xy + \sin\left(z\right)\right)\sqrt{\exp\left(x\right)}z\left(y - 1\right)}{6}}{x - 4}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + (-x) + 5 = 0$$ Correct Answer $$\frac{(-\left(1 + \sqrt{21}\right))}{2}$$ and $$\frac{(-\left(1 - \sqrt{21}\right))}{2}$$

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

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6X + 5y\right)}^{2} $$ Correct Answer $$ 36{X}^{2} - 60Xy + 25{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6e + -3h\right)}^{2} $$ Correct Answer $$ 36{e}^{2} + 36eh + 9{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2g + 6S + 1n + -2S $$ Correct Answer $$ -2g + 4S + n $$ 2. Collect like terms to simplify the following:$$ 6R + 1j + 1m + -4j $$ Correct Answer $$ 6R + -3j + m $$