1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(1g + 2d\right) $$ Correct Answer $$ -4g - 8d $$ 2. Expand the brackets to simplify the following:$$ -5\left(-2e + -5d\right) $$ Correct Answer $$ 10e + 25d $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2a + -6A\right)}^{2} $$ Correct Answer $$ 4{a}^{2} + 24aA + 36{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-P) + 1h\right)}^{2} $$ Correct Answer $$ {P}^{2} - 2Ph + {h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6e + -4Q + -4u + (-Q) $$ Correct Answer $$ 6e + -5Q - 4u $$ 2. Collect like terms to simplify the following:$$ 4R + 5y + 1z + 5y $$ Correct Answer $$ 4R + 10y + z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{6x + -1}{(-x) + 4} + \frac{(-x) + 5}{5x + -3} $$ Correct Answer $$ \frac{31{x}^{2} + -32x + 23}{-5{x}^{2} + 23x - 12} $$ 2. Simplify the following:$$ \frac{6x + 1}{-5x + 3} + \frac{-6x + -6}{-6x + 3} $$ Correct Answer $$ \frac{-6{x}^{2} + 24x - 15}{30{x}^{2} - 33x + 9} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \frac{\left(2\left(1 + y\right) + y\right)\exp\left(x\right)}{2\sin\left(z\right)},$$ Given that x = 1.0, y = -1.0, z = 6.0 Correct Answer 4.86 2. Find V to 3 significant figures in the following equation: $$ V = {5}^{-2x} + \sqrt{z}\exp\left(y\right),$$ Given that x = -4.0, y = -1.0, z = 1.0 Correct Answer 391000

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-5{x}^{2} + 4x + 3 = 0$$ Correct Answer $$\frac{(-\left(\sqrt{76} - 4\right))}{10}$$ and $$\frac{(-\left(-4 - \sqrt{76}\right))}{10}$$

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

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

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5e + (-j) + -2v + 3j $$ Correct Answer $$ -5e + 2j - 2v $$ 2. Collect like terms to simplify the following:$$ 3i + -3y + (-m) + -4y $$ Correct Answer $$ 3i + -7y - m $$