1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(1e + -4Q\right) $$ Correct Answer $$ 6e - 24Q $$ 2. Expand the brackets to simplify the following:$$ 1\left((-g) + -4Y\right) $$ Correct Answer $$ (-g) - 4Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4i + 4d\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 32id + 16{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4P + -2A\right)}^{2} $$ Correct Answer $$ 16{P}^{2} + 16PA + 4{A}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6a + 2Q + 1n + -2Q $$ Correct Answer $$ 6a + n $$ 2. Collect like terms to simplify the following:$$ -3a + 4j + 6v + -6j $$ Correct Answer $$ -3a + -2j + 6v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + -6}{-2x + 4} + \frac{-6x + 2}{3x + -6} $$ Correct Answer $$ \frac{24{x}^{2} + -70x + 44}{-6{x}^{2} + 24x - 24} $$ 2. Simplify the following:$$ \frac{2x + 4}{(-x) + -2} + \frac{(-x) + 4}{2x + 6} $$ Correct Answer $$ \frac{5{x}^{2} + 18x + 16}{-2{x}^{2} - 10x - 12} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = yz + \ln\left(y\right) - \exp\left(-5x\right),$$ Given that x = 6.0, y = 5.0, z = 1.0 Correct Answer 6.61 2. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(\exp\left(y\right) - \exp\left(z\right)\right)xy}{\sin\left(z\right)},$$ Given that x = 3.0, y = -3.0, z = -2.0 Correct Answer -0.847

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$3{x}^{2} + 1x = 3$$ Correct Answer $$\frac{\sqrt{37} - 1}{6}$$ and $$\frac{-1 - \sqrt{37}}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(-3i + 4h\right) $$ Correct Answer $$ -18i + 24h $$ 2. Expand the brackets to simplify the following:$$ -6\left(1a + -3d\right) $$ Correct Answer $$ -6a + 18d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3B + 5f\right)}^{2} $$ Correct Answer $$ 9{B}^{2} + 30Bf + 25{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-i) + -5f\right)}^{2} $$ Correct Answer $$ {i}^{2} + 10if + 25{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5X + 6f + 5z + 2f $$ Correct Answer $$ -5X + 8f + 5z $$ 2. Collect like terms to simplify the following:$$ -3P + -2f + -4n + (-f) $$ Correct Answer $$ -3P + -3f - 4n $$