1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(2B + 2d\right) $$ Correct Answer $$ -10B - 10d $$ 2. Expand the brackets to simplify the following:$$ -3\left(3e + -6Q\right) $$ Correct Answer $$ -9e + 18Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-P) + 6j\right)}^{2} $$ Correct Answer $$ {P}^{2} - 12Pj + 36{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4c + 2f\right)}^{2} $$ Correct Answer $$ 16{c}^{2} + 16cf + 4{f}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-c) + -5d + -6Z + 5d $$ Correct Answer $$ (-c) - 6Z $$ 2. Collect like terms to simplify the following:$$ 2P + -5S + -5u + 1S $$ Correct Answer $$ 2P + -4S - 5u $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-2x + 3}{4x + 4} + \frac{-4x + 4}{3x + 3} $$ Correct Answer $$ \frac{-22{x}^{2} + 3x + 25}{12{x}^{2} + 24x + 12} $$ 2. Simplify the following:$$ \frac{3x + 2}{5x + 6} + \frac{1x + -4}{3x + 1} $$ Correct Answer $$ \frac{14{x}^{2} + -5x - 22}{15{x}^{2} + 23x + 6} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \left(\sqrt{x} - \cos\left(z\right)\right)\left(y - 2 + \sqrt{x}\right),$$ Given that x = 4.0, y = -6.0, z = -4.0 Correct Answer -15.9 2. Find B to 3 significant figures in the following equation: $$ B = \frac{\exp\left(z\right)\sqrt{z}}{{2}^{x} + \exp\left(y\right)},$$ Given that x = 4.0, y = 3.0, z = 1.0 Correct Answer 0.0753

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{{3}^{\cos\left(x\right)}}{-5z + -5 - y} = \left(-2 - y\right)\left(x - m\right) - \ln\left(-4 - z\right),$$ Correct Answer $$m = x - \frac{\frac{{3}^{\cos\left(x\right)}}{-5z + -5 - y} + \ln\left(-4 - z\right)}{-2 - y}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{8y}{(-z) + 4\sin\left(x\right)} = \frac{\left(3 - z\right)\sin\left(y\right)}{2xm},$$ Correct Answer $$m = \frac{\frac{\frac{\left(3 - z\right)\sin\left(y\right)}{\frac{8y}{(-z) + 4\sin\left(x\right)}}}{2}}{x}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + 5x = -3$$ Correct Answer $$\frac{(-\left(\sqrt{37} - 5\right))}{2}$$ and $$\frac{(-\left(-5 - \sqrt{37}\right))}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(3B + 6d\right) $$ Correct Answer $$ -15B - 30d $$ 2. Expand the brackets to simplify the following:$$ 5\left(2i + 4f\right) $$ Correct Answer $$ 10i + 20f $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3x + (-b)\right)}^{2} $$ Correct Answer $$ 9{x}^{2} - 6xb + {b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2P + 2d\right)}^{2} $$ Correct Answer $$ 4{P}^{2} + 8Pd + 4{d}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6P + 3h + -5k + -6h $$ Correct Answer $$ -6P + -3h - 5k $$ 2. Collect like terms to simplify the following:$$ -3P + 4S + 3z + 4S $$ Correct Answer $$ -3P + 8S + 3z $$