1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-6X + -5h\right) $$ Correct Answer $$ -12X - 10h $$ 2. Expand the brackets to simplify the following:$$ -5\left(2e + -5b\right) $$ Correct Answer $$ -10e + 25b $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2a + 1A\right)}^{2} $$ Correct Answer $$ 4{a}^{2} + 4aA + {A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2e + 5h\right)}^{2} $$ Correct Answer $$ 4{e}^{2} - 20eh + 25{h}^{2} $$

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

4.

Adding fractions 1. Simplify the following:$$ \frac{(-x) + -4}{-3x + 6} + \frac{5x + -2}{(-x) + -5} $$ Correct Answer $$ \frac{-14{x}^{2} + 45x + 8}{3{x}^{2} + 9x - 30} $$ 2. Simplify the following:$$ \frac{3x + 5}{3x + -5} + \frac{6x + 2}{-2x + -1} $$ Correct Answer $$ \frac{12{x}^{2} + -37x - 15}{-6{x}^{2} + 7x + 5} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \exp\left(x\right)\ln\left(y\right) - \sqrt{\exp\left(z\right)},$$ Given that x = -4.0, y = 4.0, z = -6.0 Correct Answer -0.0244 2. Find B to 3 significant figures in the following equation: $$ B = \frac{\left(x - 15z\right)yz}{5\sin\left(y\right)},$$ Given that x = -2.0, y = -4.0, z = -1.0 Correct Answer 13.7

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$4{x}^{2} + 4x = 3$$ Correct Answer $$\frac{1}{2}$$ and $$\frac{-3}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-3c + 3f\right) $$ Correct Answer $$ -12c + 12f $$ 2. Expand the brackets to simplify the following:$$ 6\left(-4B + 6A\right) $$ Correct Answer $$ -24B + 36A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2X + -2Q\right)}^{2} $$ Correct Answer $$ 4{X}^{2} - 8XQ + 4{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3g + -3f\right)}^{2} $$ Correct Answer $$ 9{g}^{2} - 18gf + 9{f}^{2} $$

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