1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(1X + 3d\right) $$ Correct Answer $$ -5X - 15d $$ 2. Expand the brackets to simplify the following:$$ 1\left(5e + -4h\right) $$ Correct Answer $$ 5e - 4h $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-g) + 2Y\right)}^{2} $$ Correct Answer $$ {g}^{2} - 4gY + 4{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6i + (-Q)\right)}^{2} $$ Correct Answer $$ 36{i}^{2} - 12iQ + {Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2g + 2Y + 2z + 4Y $$ Correct Answer $$ 2g + 6Y + 2z $$ 2. Collect like terms to simplify the following:$$ -2X + 3h + 6z + -4h $$ Correct Answer $$ -2X + (-h) + 6z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + -4}{1x + -3} + \frac{-3x + 6}{-4x + -1} $$ Correct Answer $$ \frac{-23{x}^{2} + 26x - 14}{-4{x}^{2} + 11x + 3} $$ 2. Simplify the following:$$ \frac{(-x) + -2}{1x + -1} + \frac{-4x + -4}{5x + -5} $$ Correct Answer $$ \frac{-9{x}^{2} + -5x + 14}{5{x}^{2} - 10x + 5} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{y\exp\left(z\right)}{x} - {5}^{\exp\left(z\right)},$$ Given that x = 2.0, y = 2.0, z = 6.0 Correct Answer (Too large to show) 2. Find B to 3 significant figures in the following equation: $$ B = \frac{\left(y - 4\right)\exp\left(\sin\left(x\right)\right)}{\sin\left(z\right)},$$ Given that x = 4.0, y = -5.0, z = 5.0 Correct Answer 4.40

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + -4x + -2 = 0$$ Correct Answer $$\frac{4 + \sqrt{24}}{2}$$ and $$\frac{4 - \sqrt{24}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(5g + 4f\right) $$ Correct Answer $$ 15g + 12f $$ 2. Expand the brackets to simplify the following:$$ 3\left(-3i + -4Y\right) $$ Correct Answer $$ -9i - 12Y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1a + -3y\right)}^{2} $$ Correct Answer $$ {a}^{2} - 6ay + 9{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6e + -3d\right)}^{2} $$ Correct Answer $$ 36{e}^{2} - 36ed + 9{d}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3e + -3h + 5l + (-h) $$ Correct Answer $$ 3e + -4h + 5l $$ 2. Collect like terms to simplify the following:$$ 2P + 3Q + 5k + 6Q $$ Correct Answer $$ 2P + 9Q + 5k $$