1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-5c + -4f\right) $$ Correct Answer $$ -20c - 16f $$ 2. Expand the brackets to simplify the following:$$ 1\left(-5x + -3f\right) $$ Correct Answer $$ -5x - 3f $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5c + 2b\right)}^{2} $$ Correct Answer $$ 25{c}^{2} + 20cb + 4{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2P + 4Q\right)}^{2} $$ Correct Answer $$ 4{P}^{2} + 16PQ + 16{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4R + 1Y + -3Z + -6Y $$ Correct Answer $$ -4R + -5Y - 3Z $$ 2. Collect like terms to simplify the following:$$ (-a) + -4S + -4k + 5S $$ Correct Answer $$ (-a) + S - 4k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{(-x) + 6}{6x + -4} + \frac{-5x + -2}{2x + 2} $$ Correct Answer $$ \frac{-32{x}^{2} + 18x + 20}{12{x}^{2} + 4x - 8} $$ 2. Simplify the following:$$ \frac{-2x + 4}{-2x + -4} + \frac{2x + 1}{2x + -3} $$ Correct Answer $$ \frac{-8{x}^{2} + 4x - 16}{-4{x}^{2} - 2x + 12} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{\left(-5x - z\right)\left(z - 6\right)}{\cos\left(y\right)},$$ Given that x = 3.0, y = 4.0, z = 1.0 Correct Answer -122 2. Find k to 3 significant figures in the following equation: $$ k = (-z) - y - 3 - \frac{-6\cos\left(x\right)}{y},$$ Given that x = -6.0, y = -2.0, z = -5.0 Correct Answer 1.12

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\left(y - 3\right)\left(5 - z\right) + \sqrt{x + 2} = \frac{\frac{-4}{m} + 2 - y}{\sin\left(xy\right)},$$ Correct Answer $$m = \frac{-4}{\left(\left(y - 3\right)\left(5 - z\right) + \sqrt{x + 2}\right)\sin\left(xy\right) - \left(2 - y\right)}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{\left(z + y\right)\exp\left(x\right)}{\ln\left(\sqrt{y}\right)} = \frac{(-x) + 6\ln\left(z\right) - 6m}{6},$$ Correct Answer $$m = \frac{(-x) + 6\ln\left(z\right) - \frac{\left(z + y\right)\exp\left(x\right)}{\ln\left(\sqrt{y}\right)}6}{6}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$6{x}^{2} + (-x) + -4 = 0$$ Correct Answer $$\frac{1 + \sqrt{97}}{12}$$ and $$\frac{1 - \sqrt{97}}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left((-B) + (-f)\right) $$ Correct Answer $$ 4B + 4f $$ 2. Expand the brackets to simplify the following:$$ -3\left(-6e + -4b\right) $$ Correct Answer $$ 18e + 12b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3i + 1b\right)}^{2} $$ Correct Answer $$ 9{i}^{2} - 6ib + {b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6B + -4f\right)}^{2} $$ Correct Answer $$ 36{B}^{2} - 48Bf + 16{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4a + -6y + -2m + -6y $$ Correct Answer $$ -4a + -12y - 2m $$ 2. Collect like terms to simplify the following:$$ -6X + -2f + -5u + 6f $$ Correct Answer $$ -6X + 4f - 5u $$