1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(-6P + 5h\right) $$ Correct Answer $$ 24P - 20h $$ 2. Expand the brackets to simplify the following:$$ -6\left(-6c + -5j\right) $$ Correct Answer $$ 36c + 30j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1i + 5d\right)}^{2} $$ Correct Answer $$ {i}^{2} + 10id + 25{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-c) + 2d\right)}^{2} $$ Correct Answer $$ {c}^{2} - 4cd + 4{d}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5a + 6S + 4n + 5S $$ Correct Answer $$ 5a + 11S + 4n $$ 2. Collect like terms to simplify the following:$$ 4x + 6h + -5l + -3h $$ Correct Answer $$ 4x + 3h - 5l $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-5x + -3}{6x + 5} + \frac{3x + 4}{1x + 4} $$ Correct Answer $$ \frac{13{x}^{2} + 16x + 8}{6{x}^{2} + 29x + 20} $$ 2. Simplify the following:$$ \frac{3x + 1}{(-x) + 6} + \frac{-3x + 5}{-3x + 5} $$ Correct Answer $$ \frac{-6{x}^{2} + -11x + 35}{3{x}^{2} - 23x + 30} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{xz\left(\cos\left(z\right) - \cos\left(y\right)\right)}{\sin\left(z\right)},$$ Given that x = -5.0, y = 4.0, z = -4.0 Correct Answer 0.0 2. Find V to 3 significant figures in the following equation: $$ V = \sin\left(\left(x + y\right)\cos\left(z\right)\right),$$ Given that x = -3.0, y = -6.0, z = -5.0 Correct Answer -0.555

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-4{x}^{2} + -3x + 3 = 0$$ Correct Answer $$\frac{(-\left(3 + \sqrt{57}\right))}{8}$$ and $$\frac{(-\left(3 - \sqrt{57}\right))}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(3x + -2h\right) $$ Correct Answer $$ -15x + 10h $$ 2. Expand the brackets to simplify the following:$$ 2\left(6x + 6Q\right) $$ Correct Answer $$ 12x + 12Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3B + -4d\right)}^{2} $$ Correct Answer $$ 9{B}^{2} - 24Bd + 16{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-g) + 5Q\right)}^{2} $$ Correct Answer $$ {g}^{2} - 10gQ + 25{Q}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 4g + 6b + -6u + 2b $$ Correct Answer $$ 4g + 8b - 6u $$ 2. Collect like terms to simplify the following:$$ (-c) + 2j + 1n + -5j $$ Correct Answer $$ (-c) + -3j + n $$