1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -2\left(-2P + 4j\right) $$ Correct Answer $$ 4P - 8j $$ 2. Expand the brackets to simplify the following:$$ -5\left(1B + 3f\right) $$ Correct Answer $$ -5B - 15f $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3e + 4d\right)}^{2} $$ Correct Answer $$ 9{e}^{2} + 24ed + 16{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3P + 5b\right)}^{2} $$ Correct Answer $$ 9{P}^{2} - 30Pb + 25{b}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3i + 5d + 1u + -5d $$ Correct Answer $$ -3i + u $$ 2. Collect like terms to simplify the following:$$ -2i + -2j + -3Z + 2j $$ Correct Answer $$ -2i - 3Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-4x + 5}{(-x) + -4} + \frac{4x + 5}{-6x + 2} $$ Correct Answer $$ \frac{20{x}^{2} + -59x - 10}{6{x}^{2} + 22x - 8} $$ 2. Simplify the following:$$ \frac{4x + 3}{1x + 4} + \frac{-6x + 6}{5x + -4} $$ Correct Answer $$ \frac{14{x}^{2} + -19x + 12}{5{x}^{2} + 16x - 16} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \exp\left(\frac{yz}{\cos\left(x\right)}\right),$$ Given that x = 6.0, y = -6.0, z = 3.0 Correct Answer 0.00000000722 2. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(x - 6\right)\left(2 - y\right)}{6z - \cos\left(z\right)},$$ Given that x = 6.0, y = 2.0, z = -4.0 Correct Answer 0.0

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-6{x}^{2} + -5x + 3 = 0$$ Correct Answer $$\frac{(-\left(5 + \sqrt{97}\right))}{12}$$ and $$\frac{(-\left(5 - \sqrt{97}\right))}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(1x + -3f\right) $$ Correct Answer $$ 5x - 15f $$ 2. Expand the brackets to simplify the following:$$ 6\left(3i + 2Y\right) $$ Correct Answer $$ 18i + 12Y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5x + -2A\right)}^{2} $$ Correct Answer $$ 25{x}^{2} - 20xA + 4{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4P + 5A\right)}^{2} $$ Correct Answer $$ 16{P}^{2} + 40PA + 25{A}^{2} $$

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