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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4g + 4Q\right)}^{2} $$ Correct Answer $$ 16{g}^{2} - 32gQ + 16{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4i + 1Y\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 8iY + {Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1R + 4f + 1k + 3f $$ Correct Answer $$ R + 7f + k $$ 2. Collect like terms to simplify the following:$$ -5e + -6h + 5k + 6h $$ Correct Answer $$ -5e + 5k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{2x + -3}{2x + 5} + \frac{-6x + 6}{4x + 5} $$ Correct Answer $$ \frac{-4{x}^{2} + -20x + 15}{8{x}^{2} + 30x + 25} $$ 2. Simplify the following:$$ \frac{3x + 4}{-2x + -1} + \frac{-2x + 5}{-2x + 2} $$ Correct Answer $$ \frac{-2{x}^{2} + -10x + 3}{4{x}^{2} - 2x - 2} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \sin\left(\left(z - x\right)\exp\left(y\right)\right),$$ Given that x = -4.0, y = -6.0, z = 2.0 Correct Answer 0.0149 2. Find B to 3 significant figures in the following equation: $$ B = \exp\left(xy\right)\ln\left(z + 5\right),$$ Given that x = -5.0, y = 5.0, z = 5.0 Correct Answer 0.0000000000320

6.

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

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

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(4e + 2d\right) $$ Correct Answer $$ 8e + 4d $$ 2. Expand the brackets to simplify the following:$$ 4\left(4x + -5j\right) $$ Correct Answer $$ 16x - 20j $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5x + -4y\right)}^{2} $$ Correct Answer $$ 25{x}^{2} - 40xy + 16{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2g + (-f)\right)}^{2} $$ Correct Answer $$ 4{g}^{2} + 4gf + {f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5c + -2j + 6l + -2j $$ Correct Answer $$ -5c + -4j + 6l $$ 2. Collect like terms to simplify the following:$$ 1e + 1S + -6n + 6S $$ Correct Answer $$ e + 7S - 6n $$