1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(3x + -3A\right) $$ Correct Answer $$ 9x - 9A $$ 2. Expand the brackets to simplify the following:$$ -5\left(5X + 1h\right) $$ Correct Answer $$ -25X - 5h $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-i) + 4y\right)}^{2} $$ Correct Answer $$ {i}^{2} - 8iy + 16{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6g + -3Q\right)}^{2} $$ Correct Answer $$ 36{g}^{2} + 36gQ + 9{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1a + 2h + -3k + (-h) $$ Correct Answer $$ a + h - 3k $$ 2. Collect like terms to simplify the following:$$ 6x + 2j + 1k + 4j $$ Correct Answer $$ 6x + 6j + k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{(-x) + -5}{-3x + -2} + \frac{-5x + -2}{4x + 5} $$ Correct Answer $$ \frac{11{x}^{2} + -9x - 21}{-12{x}^{2} - 23x - 10} $$ 2. Simplify the following:$$ \frac{4x + -6}{-6x + 3} + \frac{6x + -4}{-3x + -1} $$ Correct Answer $$ \frac{-48{x}^{2} + 56x - 6}{18{x}^{2} - 3x - 3} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \frac{\left(y - 5\right)\ln\left((-x)\right)}{\sin\left(z\right)},$$ Given that x = -3.0, y = -1.0, z = -2.0 Correct Answer 7.25 2. Find B to 3 significant figures in the following equation: $$ B = \frac{(-\left(z + 4\sin\left(x\right)\right)\left(y - 6\right))}{4z},$$ Given that x = -5.0, y = 5.0, z = 3.0 Correct Answer 0.570

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$5{x}^{2} + 3x = 2$$ Correct Answer $$\frac{2}{5}$$ and $$-1$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(6B + 6f\right)) $$ Correct Answer $$ -6B - 6f $$ 2. Expand the brackets to simplify the following:$$ -6\left(-5c + (-j)\right) $$ Correct Answer $$ 30c + 6j $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5g + 6d\right)}^{2} $$ Correct Answer $$ 25{g}^{2} - 60gd + 36{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-X) + 5y\right)}^{2} $$ Correct Answer $$ {X}^{2} - 10Xy + 25{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2R + -3h + -3z + 5h $$ Correct Answer $$ 2R + 2h - 3z $$ 2. Collect like terms to simplify the following:$$ 4R + -6j + 6m + 6j $$ Correct Answer $$ 4R + 6m $$