1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(-2i + 1f\right) $$ Correct Answer $$ -10i + 5f $$ 2. Expand the brackets to simplify the following:$$ -6\left(5x + -4j\right) $$ Correct Answer $$ -30x + 24j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2g + -3d\right)}^{2} $$ Correct Answer $$ 4{g}^{2} + 12gd + 9{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6i + 2b\right)}^{2} $$ Correct Answer $$ 36{i}^{2} + 24ib + 4{b}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3a + -3y + 4n + 1y $$ Correct Answer $$ -3a + -2y + 4n $$ 2. Collect like terms to simplify the following:$$ (-i) + 1d + -3Z + 5d $$ Correct Answer $$ (-i) + 6d - 3Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{1x + 5}{(-x) + -2} + \frac{-2x + 2}{2x + -4} $$ Correct Answer $$ \frac{4{x}^{2} + 8x - 24}{-2{x}^{2} + 8} $$ 2. Simplify the following:$$ \frac{(-x) + 1}{-4x + -5} + \frac{(-x) + -3}{1x + 1} $$ Correct Answer $$ \frac{3{x}^{2} + 16 + 17x}{-4{x}^{2} - 9x - 5} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \exp\left(y + z - \sin\left(x\right)\right),$$ Given that x = -6.0, y = 5.0, z = 2.0 Correct Answer 829 2. Find B to 3 significant figures in the following equation: $$ B = (-x) - \left(y + 4\right) + \ln\left(\frac{(-z)}{3}\right),$$ Given that x = 4.0, y = -3.0, z = -5.0 Correct Answer -4.49

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-5{x}^{2} + (-x) = -1$$ Correct Answer $$\frac{(-\left(1 + \sqrt{21}\right))}{10}$$ and $$\frac{(-\left(1 - \sqrt{21}\right))}{10}$$

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

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3i + -4Q\right)}^{2} $$ Correct Answer $$ 9{i}^{2} - 24iQ + 16{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2c + -6h\right)}^{2} $$ Correct Answer $$ 4{c}^{2} - 24ch + 36{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2e + (-S) + 1l + -2S $$ Correct Answer $$ 2e + -3S + l $$ 2. Collect like terms to simplify the following:$$ 5a + -6h + -4u + -5h $$ Correct Answer $$ 5a + -11h - 4u $$