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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2c + 4A\right)}^{2} $$ Correct Answer $$ 4{c}^{2} - 16cA + 16{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2x + -2Q\right)}^{2} $$ Correct Answer $$ 4{x}^{2} + 8xQ + 4{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3a + 2j + 5z + 6j $$ Correct Answer $$ 3a + 8j + 5z $$ 2. Collect like terms to simplify the following:$$ -6X + -5j + 2n + -5j $$ Correct Answer $$ -6X + -10j + 2n $$

4.

Adding fractions 1. Simplify the following:$$ \frac{6x + -3}{4x + 6} + \frac{6x + -5}{-6x + -5} $$ Correct Answer $$ \frac{-12{x}^{2} + 4x - 15}{-24{x}^{2} - 56x - 30} $$ 2. Simplify the following:$$ \frac{3x + 1}{-6x + -2} + \frac{5x + 5}{(-x) + 1} $$ Correct Answer $$ \frac{-33{x}^{2} + -38x - 9}{6{x}^{2} - 4x - 2} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(z - x\right)\left(y - 3\right)}{yz + \sin\left(z\right)},$$ Given that x = 5.0, y = 2.0, z = 6.0 Correct Answer -0.0853 2. Find k to 3 significant figures in the following equation: $$ k = \frac{2y\sin\left(-4z\right)}{\cos\left(x\right)},$$ Given that x = 4.0, y = -2.0, z = 6.0 Correct Answer 5.54

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 6x = -3$$ Correct Answer $$\frac{\sqrt{24} - 6}{2}$$ and $$\frac{-6 - \sqrt{24}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(6i + -5d\right) $$ Correct Answer $$ 36i - 30d $$ 2. Expand the brackets to simplify the following:$$ 6\left(1x + 4y\right) $$ Correct Answer $$ 6x + 24y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6x + -4f\right)}^{2} $$ Correct Answer $$ 36{x}^{2} + 48xf + 16{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4c + -4b\right)}^{2} $$ Correct Answer $$ 16{c}^{2} - 32cb + 16{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5R + -2S + 2Z + 3S $$ Correct Answer $$ -5R + S + 2Z $$ 2. Collect like terms to simplify the following:$$ -5e + -2j + -6m + 1j $$ Correct Answer $$ -5e + (-j) - 6m $$