1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(-5a + -6y\right) $$ Correct Answer $$ -5a - 6y $$ 2. Expand the brackets to simplify the following:$$ -2\left(-4a + -5A\right) $$ Correct Answer $$ 8a + 10A $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5i + -5Y\right)}^{2} $$ Correct Answer $$ 25{i}^{2} + 50iY + 25{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2B + 2d\right)}^{2} $$ Correct Answer $$ 4{B}^{2} + 8Bd + 4{d}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3R + -3Y + 6v + -3Y $$ Correct Answer $$ -3R + -6Y + 6v $$ 2. Collect like terms to simplify the following:$$ (-c) + 4j + -6v + -6j $$ Correct Answer $$ (-c) + -2j - 6v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-2x + 6}{2x + 4} + \frac{(-x) + 2}{-5x + -5} $$ Correct Answer $$ \frac{8{x}^{2} + -20x - 22}{-10{x}^{2} - 30x - 20} $$ 2. Simplify the following:$$ \frac{1x + -5}{6x + 4} + \frac{4x + -1}{-3x + -6} $$ Correct Answer $$ \frac{21{x}^{2} + 19x + 26}{-18{x}^{2} - 48x - 24} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \left({5}^{x} + \ln\left(y\right)\right)\left(\exp\left(z\right) - \cos\left(y\right)\right),$$ Given that x = 1.0, y = 5.0, z = 6.0 Correct Answer 2660 2. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(-2 - x\right)\sin\left(y + z\right)}{\ln\left(z\right)},$$ Given that x = -4.0, y = 4.0, z = 3.0 Correct Answer 1.20

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$4{x}^{2} + (-x) = 1$$ Correct Answer $$\frac{1 + \sqrt{17}}{8}$$ and $$\frac{1 - \sqrt{17}}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(2P + -2h\right) $$ Correct Answer $$ -12P + 12h $$ 2. Expand the brackets to simplify the following:$$ 2\left(6a + -5b\right) $$ Correct Answer $$ 12a - 10b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6X + -4j\right)}^{2} $$ Correct Answer $$ 36{X}^{2} + 48Xj + 16{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4c + 5A\right)}^{2} $$ Correct Answer $$ 16{c}^{2} + 40cA + 25{A}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5c + 6f + -3u + 5f $$ Correct Answer $$ 5c + 11f - 3u $$ 2. Collect like terms to simplify the following:$$ 1e + (-Y) + 4Z + -2Y $$ Correct Answer $$ e + -3Y + 4Z $$