1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(-4X + 1Y\right) $$ Correct Answer $$ 16X - 4Y $$ 2. Expand the brackets to simplify the following:$$ -6\left((-g) + -2b\right) $$ Correct Answer $$ 6g + 12b $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5P + 5d\right)}^{2} $$ Correct Answer $$ 25{P}^{2} + 50Pd + 25{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3X + -3Y\right)}^{2} $$ Correct Answer $$ 9{X}^{2} - 18XY + 9{Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3e + 5Y + 5v + 5Y $$ Correct Answer $$ 3e + 10Y + 5v $$ 2. Collect like terms to simplify the following:$$ 6a + 4y + 5m + -2y $$ Correct Answer $$ 6a + 2y + 5m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{2x + -1}{5x + -1} + \frac{-4x + -6}{4x + -2} $$ Correct Answer $$ \frac{-12{x}^{2} + -34x + 8}{20{x}^{2} - 14x + 2} $$ 2. Simplify the following:$$ \frac{5x + 1}{-4x + 2} + \frac{-6x + -1}{1x + -3} $$ Correct Answer $$ \frac{29{x}^{2} + -22x - 5}{-4{x}^{2} + 14x - 6} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \cos\left(\left(z + y\right)\cos\left(x\right)\right),$$ Given that x = 2.0, y = 5.0, z = -5.0 Correct Answer 1.00 2. Find h to 3 significant figures in the following equation: $$ h = \frac{(-\left(y + x\right)x) + 4\left(z + 1\right)\sqrt{x}}{4},$$ Given that x = 2.0, y = 5.0, z = -2.0 Correct Answer -4.91

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\left(-4x + \sqrt{z}\right)\sqrt{5}\sqrt{y} = \left(4 - x + \frac{m}{y}\right)\sin\left(-6z\right),$$ Correct Answer $$m = \left(\frac{\left(-4x + \sqrt{z}\right)\sqrt{5}\sqrt{y}}{\sin\left(-6z\right)} - \left(4 - x\right)\right)y$$ 2. Rearrange the following equation to get an expression for m: $$\left(-5z + \sqrt{x}\right)\ln\left(yz\right) = \left(y - m\right){2}^{y} - \ln\left(z\right)\exp\left(x\right),$$ Correct Answer $$m = y - \frac{\left(-5z + \sqrt{x}\right)\ln\left(yz\right) + \ln\left(z\right)\exp\left(x\right)}{{2}^{y}}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-5{x}^{2} + 4x = -5$$ Correct Answer $$\frac{(-\left(\sqrt{116} - 4\right))}{10}$$ and $$\frac{(-\left(-4 - \sqrt{116}\right))}{10}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(-4g + -3b\right) $$ Correct Answer $$ -20g - 15b $$ 2. Expand the brackets to simplify the following:$$ -6\left((-X) + 6d\right) $$ Correct Answer $$ 6X - 36d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3i + 6d\right)}^{2} $$ Correct Answer $$ 9{i}^{2} - 36id + 36{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4g + -6h\right)}^{2} $$ Correct Answer $$ 16{g}^{2} + 48gh + 36{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3x + -2Q + 1Z + (-Q) $$ Correct Answer $$ 3x + -3Q + Z $$ 2. Collect like terms to simplify the following:$$ (-a) + -6Q + 1z + 4Q $$ Correct Answer $$ (-a) + -2Q + z $$