1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-3B + -6j\right) $$ Correct Answer $$ -6B - 12j $$ 2. Expand the brackets to simplify the following:$$ (-\left(-6B + 2y\right)) $$ Correct Answer $$ 6B - 2y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1i + -6b\right)}^{2} $$ Correct Answer $$ {i}^{2} - 12ib + 36{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5c + 3f\right)}^{2} $$ Correct Answer $$ 25{c}^{2} - 30cf + 9{f}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5x + 6j + 1l + -3j $$ Correct Answer $$ -5x + 3j + l $$ 2. Collect like terms to simplify the following:$$ -4i + -5Y + 4k + -3Y $$ Correct Answer $$ -4i + -8Y + 4k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + -1}{-4x + 5} + \frac{3x + 1}{1x + 3} $$ Correct Answer $$ \frac{-8{x}^{2} + 22x + 2}{-4{x}^{2} - 7x + 15} $$ 2. Simplify the following:$$ \frac{-2x + 2}{6x + 3} + \frac{-3x + 2}{1x + 2} $$ Correct Answer $$ \frac{-20{x}^{2} + x + 10}{6{x}^{2} + 15x + 6} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \frac{\left(2 + z\right)\sin\left(\sqrt{y}\right)}{\cos\left(x\right)},$$ Given that x = -5.0, y = 4.0, z = -4.0 Correct Answer -6.41 2. Find B to 3 significant figures in the following equation: $$ B = \cos\left(z\right)\cos\left(x\right) + \sqrt{y - 4},$$ Given that x = -2.0, y = 5.0, z = 5.0 Correct Answer 0.882

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$x - y + \sqrt{z} - \frac{x + 6}{-3 - z} = \frac{mz\ln\left(xy\right)}{\exp\left(x\right)},$$ Correct Answer $$m = \frac{\frac{\left(x - y + \sqrt{z} - \frac{x + 6}{-3 - z}\right)\exp\left(x\right)}{\ln\left(xy\right)}}{z}$$ 2. Rearrange the following equation to get an expression for m: $$\exp\left(y + z\right)\cos\left(\sin\left(x\right)\right) = {4}^{ym}\exp\left(\frac{-1}{x}\right),$$ Correct Answer $$m = \frac{\frac{\ln\left(\frac{\exp\left(y + z\right)\cos\left(\sin\left(x\right)\right)}{\exp\left(\frac{-1}{x}\right)}\right)}{\ln\left(4\right)}}{y}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-2{x}^{2} + -5x + 4 = 0$$ Correct Answer $$\frac{(-\left(5 + \sqrt{57}\right))}{4}$$ and $$\frac{(-\left(5 - \sqrt{57}\right))}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left((-X) + (-Y)\right)) $$ Correct Answer $$ X + Y $$ 2. Expand the brackets to simplify the following:$$ 4\left(-6B + -6b\right) $$ Correct Answer $$ -24B - 24b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3e + -6d\right)}^{2} $$ Correct Answer $$ 9{e}^{2} - 36ed + 36{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5g + -2A\right)}^{2} $$ Correct Answer $$ 25{g}^{2} + 20gA + 4{A}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5e + -4j + -6u + 3j $$ Correct Answer $$ -5e + (-j) - 6u $$ 2. Collect like terms to simplify the following:$$ 6X + 6Y + 3z + 6Y $$ Correct Answer $$ 6X + 12Y + 3z $$