1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(6x + 1f\right)) $$ Correct Answer $$ -6x - f $$ 2. Expand the brackets to simplify the following:$$ (-\left(2g + -4Q\right)) $$ Correct Answer $$ -2g + 4Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6a + -3y\right)}^{2} $$ Correct Answer $$ 36{a}^{2} + 36ay + 9{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6i + 1y\right)}^{2} $$ Correct Answer $$ 36{i}^{2} + 12iy + {y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-P) + 5y + -2n + -3y $$ Correct Answer $$ (-P) + 2y - 2n $$ 2. Collect like terms to simplify the following:$$ -3c + -5h + -2v + 3h $$ Correct Answer $$ -3c + -2h - 2v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-4x + -6}{5x + -6} + \frac{(-x) + -3}{4x + 5} $$ Correct Answer $$ \frac{-21{x}^{2} + -53x - 12}{20{x}^{2} + x - 30} $$ 2. Simplify the following:$$ \frac{3x + 4}{(-x) + -1} + \frac{(-x) + 6}{5x + -6} $$ Correct Answer $$ \frac{16{x}^{2} + -3x - 30}{-5{x}^{2} + x + 6} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \left((-x) + \cos\left(z\right)\right)\ln\left(\cos\left(y\right)\right),$$ Given that x = -6.0, y = -6.0, z = 2.0 Correct Answer -0.227 2. Find k to 3 significant figures in the following equation: $$ k = \left(z - 1\right)\sqrt{y} + \sin\left({5}^{x}\right),$$ Given that x = -5.0, y = 5.0, z = 4.0 Correct Answer 6.71

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{y\sqrt{z}}{x\sin\left({2}^{x}\right)} = \frac{{3}^{\left(z + 3\right)}}{mz + \frac{z}{y}},$$ Correct Answer $$m = \frac{\frac{{3}^{\left(z + 3\right)}}{\frac{y\sqrt{z}}{x\sin\left({2}^{x}\right)}} - \frac{z}{y}}{z}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{-6z - \exp\left(y\right)}{\sqrt{x + 5}} = 2z - \sqrt{y} + \frac{my}{\exp\left(z\right)},$$ Correct Answer $$m = \frac{\left(\frac{-6z - \exp\left(y\right)}{\sqrt{x + 5}} - \left(2z - \sqrt{y}\right)\right)\exp\left(z\right)}{y}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$3{x}^{2} + 5x = 6$$ Correct Answer $$\frac{\sqrt{97} - 5}{6}$$ and $$\frac{-5 - \sqrt{97}}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-2g + -4y\right) $$ Correct Answer $$ -4g - 8y $$ 2. Expand the brackets to simplify the following:$$ -5\left(-5x + -6A\right) $$ Correct Answer $$ 25x + 30A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-g) + 3Y\right)}^{2} $$ Correct Answer $$ {g}^{2} - 6gY + 9{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2e + (-j)\right)}^{2} $$ Correct Answer $$ 4{e}^{2} + 4ej + {j}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5X + 5j + 6z + 6j $$ Correct Answer $$ 5X + 11j + 6z $$ 2. Collect like terms to simplify the following:$$ 2g + 5Q + 4v + -4Q $$ Correct Answer $$ 2g + Q + 4v $$