1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(-2x + 2j\right) $$ Correct Answer $$ -6x + 6j $$ 2. Expand the brackets to simplify the following:$$ -3\left(5e + 4d\right) $$ Correct Answer $$ -15e - 12d $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3P + 1y\right)}^{2} $$ Correct Answer $$ 9{P}^{2} - 6Py + {y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5x + -6j\right)}^{2} $$ Correct Answer $$ 25{x}^{2} + 60xj + 36{j}^{2} $$

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

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + -5}{-3x + 4} + \frac{2x + 3}{6x + 5} $$ Correct Answer $$ \frac{24{x}^{2} + -6x - 13}{-18{x}^{2} + 9x + 20} $$ 2. Simplify the following:$$ \frac{5x + -1}{-4x + 6} + \frac{6x + 6}{(-x) + -4} $$ Correct Answer $$ \frac{-29{x}^{2} + -7x + 40}{4{x}^{2} + 10x - 24} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \frac{\left(y - z\right)\exp\left(x\right)}{\cos\left(\ln\left(z\right)\right)},$$ Given that x = -4.0, y = 2.0, z = 6.0 Correct Answer 0.334 2. Find k to 3 significant figures in the following equation: $$ k = \frac{(-\left(-6 - x\right))}{2z} + \exp\left({2}^{y}\right),$$ Given that x = 2.0, y = -6.0, z = -1.0 Correct Answer -2.98

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\ln\left(\frac{xy}{\sin\left(z\right)}\right) = \frac{mz - \ln\left(x\right)}{{4}^{\frac{y}{x}}},$$ Correct Answer $$m = \frac{\ln\left(\frac{xy}{\sin\left(z\right)}\right){4}^{\frac{y}{x}} + \ln\left(x\right)}{z}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{(-\left(y - 6\right)\exp\left(\frac{x}{z}\right))}{2y} = \frac{(-m\left(z - x\right))}{10y},$$ Correct Answer $$m = \frac{\frac{\frac{(-\left(y - 6\right)\exp\left(\frac{x}{z}\right))}{2y}10y}{-1}}{z - x}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$3{x}^{2} + -3x = 5$$ Correct Answer $$\frac{3 + \sqrt{69}}{6}$$ and $$\frac{3 - \sqrt{69}}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(-6X + -2Y\right) $$ Correct Answer $$ -36X - 12Y $$ 2. Expand the brackets to simplify the following:$$ -4\left(3g + 1j\right) $$ Correct Answer $$ -12g - 4j $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5c + -3y\right)}^{2} $$ Correct Answer $$ 25{c}^{2} - 30cy + 9{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4P + 4f\right)}^{2} $$ Correct Answer $$ 16{P}^{2} + 32Pf + 16{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3R + -3Y + 2l + 6Y $$ Correct Answer $$ -3R + 3Y + 2l $$ 2. Collect like terms to simplify the following:$$ 2X + 2d + 5m + 2d $$ Correct Answer $$ 2X + 4d + 5m $$