1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(-5X + 3A\right) $$ Correct Answer $$ -25X + 15A $$ 2. Expand the brackets to simplify the following:$$ -4\left(5g + (-Y)\right) $$ Correct Answer $$ -20g + 4Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5g + 6A\right)}^{2} $$ Correct Answer $$ 25{g}^{2} + 60gA + 36{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4e + 6h\right)}^{2} $$ Correct Answer $$ 16{e}^{2} - 48eh + 36{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2g + 3h + 5u + -2h $$ Correct Answer $$ -2g + h + 5u $$ 2. Collect like terms to simplify the following:$$ 6i + 3f + -3z + 4f $$ Correct Answer $$ 6i + 7f - 3z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-6x + 4}{3x + 6} + \frac{(-x) + 4}{5x + 1} $$ Correct Answer $$ \frac{-33{x}^{2} + 20x + 28}{15{x}^{2} + 33x + 6} $$ 2. Simplify the following:$$ \frac{-6x + -2}{-6x + 2} + \frac{-3x + -1}{-2x + -4} $$ Correct Answer $$ \frac{30{x}^{2} + 28x + 6}{12{x}^{2} + 20x - 8} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(y - 5\right)\left(\cos\left(x\right) - \sin\left(z\right)\right)}{\cos\left(z\right)},$$ Given that x = 5.0, y = 1.0, z = 4.0 Correct Answer 6.37 2. Find V to 3 significant figures in the following equation: $$ V = \frac{\frac{y}{z} - \exp\left(y\right)}{{2}^{\ln\left(x\right)}},$$ Given that x = 3.0, y = 5.0, z = -1.0 Correct Answer -71.6

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 2x + -6 = 0$$ Correct Answer $$\frac{\sqrt{28} - 2}{2}$$ and $$\frac{-2 - \sqrt{28}}{2}$$

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

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3i + -6j\right)}^{2} $$ Correct Answer $$ 9{i}^{2} - 36ij + 36{j}^{2} $$ 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:$$ -3e + -2S + 1Z + -4S $$ Correct Answer $$ -3e + -6S + Z $$ 2. Collect like terms to simplify the following:$$ -3a + 2h + -4n + 2h $$ Correct Answer $$ -3a + 4h - 4n $$