1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(-3e + 2j\right) $$ Correct Answer $$ 15e - 10j $$ 2. Expand the brackets to simplify the following:$$ (-\left(3P + 4y\right)) $$ Correct Answer $$ -3P - 4y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(6a + 3y\right)}^{2} $$ Correct Answer $$ 36{a}^{2} + 36ay + 9{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2X + 2h\right)}^{2} $$ Correct Answer $$ 4{X}^{2} - 8Xh + 4{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4X + 5j + -6v + 4j $$ Correct Answer $$ -4X + 9j - 6v $$ 2. Collect like terms to simplify the following:$$ 6c + -3f + -4Z + (-f) $$ Correct Answer $$ 6c + -4f - 4Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-6x + -5}{2x + 5} + \frac{4x + -6}{2x + 5} $$ Correct Answer $$ \frac{-4{x}^{2} + -32x - 55}{4{x}^{2} + 20x + 25} $$ 2. Simplify the following:$$ \frac{-3x + -3}{3x + -1} + \frac{5x + -3}{5x + -5} $$ Correct Answer $$ \frac{18 - 14x}{15{x}^{2} - 20x + 5} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{\left(\ln\left(y\right) - \ln\left(z\right)\right)\left(z + \frac{5x}{z}\right)}{5},$$ Given that x = 5.0, y = 6.0, z = 4.0 Correct Answer 0.831 2. Find h to 3 significant figures in the following equation: $$ h = \frac{{2}^{y}\cos\left(-5y\right)}{xz},$$ Given that x = -2.0, y = 4.0, z = -1.0 Correct Answer 3.26

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$4{x}^{2} + 3x + -2 = 0$$ Correct Answer $$\frac{\sqrt{41} - 3}{8}$$ and $$\frac{-3 - \sqrt{41}}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-2P + (-Y)\right) $$ Correct Answer $$ -8P - 4Y $$ 2. Expand the brackets to simplify the following:$$ 2\left(-4x + 3A\right) $$ Correct Answer $$ -8x + 6A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5B + 5b\right)}^{2} $$ Correct Answer $$ 25{B}^{2} + 50Bb + 25{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6P + -5A\right)}^{2} $$ Correct Answer $$ 36{P}^{2} + 60PA + 25{A}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-X) + (-j) + -2m + 3j $$ Correct Answer $$ (-X) + 2j - 2m $$ 2. Collect like terms to simplify the following:$$ -3X + 2j + -6l + -6j $$ Correct Answer $$ -3X + -4j - 6l $$