1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -2\left(3B + 6Q\right) $$ Correct Answer $$ -6B - 12Q $$ 2. Expand the brackets to simplify the following:$$ (-\left(5i + 4y\right)) $$ Correct Answer $$ -5i - 4y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6P + -3Q\right)}^{2} $$ Correct Answer $$ 36{P}^{2} + 36PQ + 9{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4e + -5b\right)}^{2} $$ Correct Answer $$ 16{e}^{2} - 40eb + 25{b}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1a + 2b + 2n + -3b $$ Correct Answer $$ a + (-b) + 2n $$ 2. Collect like terms to simplify the following:$$ -3c + -5S + 4n + 3S $$ Correct Answer $$ -3c + -2S + 4n $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-4x + 1}{-5x + 2} + \frac{-3x + 2}{-2x + -3} $$ Correct Answer $$ \frac{23{x}^{2} + -6x + 1}{10{x}^{2} + 11x - 6} $$ 2. Simplify the following:$$ \frac{(-x) + -6}{(-x) + -6} + \frac{5x + 3}{(-x) + 2} $$ Correct Answer $$ \frac{-4{x}^{2} + -29x - 30}{{x}^{2} + 4x - 12} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = {3}^{yz} - {3}^{\cos\left(x\right)},$$ Given that x = -5.0, y = -2.0, z = 4.0 Correct Answer -1.37 2. Find k to 3 significant figures in the following equation: $$ k = \sqrt{\frac{z}{x} - yz},$$ Given that x = 6.0, y = -1.0, z = 1.0 Correct Answer 1.08

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\left(z - x + \sin\left(z\right)\right)\sin\left(y + 5\right) = \left(z - m + \cos\left(y\right)\right)\cos\left(\exp\left(x\right)\right),$$ Correct Answer $$m = z - \left(\frac{\left(z - x + \sin\left(z\right)\right)\sin\left(y + 5\right)}{\cos\left(\exp\left(x\right)\right)} - \cos\left(y\right)\right)$$ 2. Rearrange the following equation to get an expression for m: $$\sin\left(x\right)\exp\left(z\right) + \exp\left(\frac{z}{y}\right) = \frac{y - 3m}{3},$$ Correct Answer $$m = \frac{y - \left(\sin\left(x\right)\exp\left(z\right) + \exp\left(\frac{z}{y}\right)\right)3}{3}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + 5x = 2$$ Correct Answer $$\frac{(-\left(\sqrt{17} - 5\right))}{2}$$ and $$\frac{(-\left(-5 - \sqrt{17}\right))}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(-5g + -2A\right) $$ Correct Answer $$ -15g - 6A $$ 2. Expand the brackets to simplify the following:$$ -2\left(1B + 3h\right) $$ Correct Answer $$ -2B - 6h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3P + -5b\right)}^{2} $$ Correct Answer $$ 9{P}^{2} + 30Pb + 25{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2i + -3A\right)}^{2} $$ Correct Answer $$ 4{i}^{2} - 12iA + 9{A}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6P + 1S + 2l + 4S $$ Correct Answer $$ 6P + 5S + 2l $$ 2. Collect like terms to simplify the following:$$ 4a + 1b + 5z + 2b $$ Correct Answer $$ 4a + 3b + 5z $$