1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-3B + 3f\right) $$ Correct Answer $$ -6B + 6f $$ 2. Expand the brackets to simplify the following:$$ -2\left(5e + 6b\right) $$ Correct Answer $$ -10e - 12b $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1B + 5y\right)}^{2} $$ Correct Answer $$ {B}^{2} + 10By + 25{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2a + 6f\right)}^{2} $$ Correct Answer $$ 4{a}^{2} - 24af + 36{f}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4P + 5S + -4Z + 6S $$ Correct Answer $$ -4P + 11S - 4Z $$ 2. Collect like terms to simplify the following:$$ -2P + 2h + -2u + 6h $$ Correct Answer $$ -2P + 8h - 2u $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 4}{-3x + -3} + \frac{6x + -3}{1x + 3} $$ Correct Answer $$ \frac{-13{x}^{2} + 10x + 21}{-3{x}^{2} - 12x - 9} $$ 2. Simplify the following:$$ \frac{2x + -5}{3x + -3} + \frac{-6x + -2}{-4x + -5} $$ Correct Answer $$ \frac{-26{x}^{2} + 22x + 31}{-12{x}^{2} - 3x + 15} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{2x}{\exp\left(y\right)} + \sqrt{-6z},$$ Given that x = 3.0, y = -4.0, z = -3.0 Correct Answer 332 2. Find h to 3 significant figures in the following equation: $$ h = \left(xz + \cos\left(y\right)\right)\sin\left(\cos\left(y\right)\right),$$ Given that x = -2.0, y = -1.0, z = -1.0 Correct Answer 1.31

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-5{x}^{2} + -5x + 1 = 0$$ Correct Answer $$\frac{(-\left(5 + \sqrt{45}\right))}{10}$$ and $$\frac{(-\left(5 - \sqrt{45}\right))}{10}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(-4P + -5b\right) $$ Correct Answer $$ 20P + 25b $$ 2. Expand the brackets to simplify the following:$$ -5\left(1a + 4j\right) $$ Correct Answer $$ -5a - 20j $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4e + 6h\right)}^{2} $$ Correct Answer $$ 16{e}^{2} - 48eh + 36{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5c + 1Y\right)}^{2} $$ Correct Answer $$ 25{c}^{2} - 10cY + {Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5a + -4j + 3u + 2j $$ Correct Answer $$ 5a + -2j + 3u $$ 2. Collect like terms to simplify the following:$$ -6g + 1d + 5Z + -5d $$ Correct Answer $$ -6g + -4d + 5Z $$