1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-6x + 6y\right) $$ Correct Answer $$ -24x + 24y $$ 2. Expand the brackets to simplify the following:$$ -3\left(3B + 3j\right) $$ Correct Answer $$ -9B - 9j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4a + 1d\right)}^{2} $$ Correct Answer $$ 16{a}^{2} - 8ad + {d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-e) + -3j\right)}^{2} $$ Correct Answer $$ {e}^{2} + 6ej + 9{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6i + (-y) + 1n + -6y $$ Correct Answer $$ 6i + -7y + n $$ 2. Collect like terms to simplify the following:$$ 1a + 1Q + -4k + 4Q $$ Correct Answer $$ a + 5Q - 4k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + -6}{-5x + -2} + \frac{6x + -3}{4x + 2} $$ Correct Answer $$ \frac{-42{x}^{2} + -27x - 6}{-20{x}^{2} - 18x - 4} $$ 2. Simplify the following:$$ \frac{-2x + 2}{-3x + -2} + \frac{1x + -1}{3x + 1} $$ Correct Answer $$ \frac{-9{x}^{2} + 5x + 4}{-9{x}^{2} - 9x - 2} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{6\left(x - z\right)}{x} - \frac{5 + y}{x + 2},$$ Given that x = 5.0, y = 3.0, z = -4.0 Correct Answer 9.66 2. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(-2 - z\right)\sqrt{z + 6}}{xy},$$ Given that x = -5.0, y = 3.0, z = -6.0 Correct Answer 0.0

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-2{x}^{2} + 2x + 4 = 0$$ Correct Answer $$-1$$ and $$2$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(6B + -4f\right) $$ Correct Answer $$ 24B - 16f $$ 2. Expand the brackets to simplify the following:$$ 5\left(4e + -5d\right) $$ Correct Answer $$ 20e - 25d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2c + (-d)\right)}^{2} $$ Correct Answer $$ 4{c}^{2} - 4cd + {d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1B + 4A\right)}^{2} $$ Correct Answer $$ {B}^{2} + 8BA + 16{A}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3i + -2y + 2k + -6y $$ Correct Answer $$ 3i + -8y + 2k $$ 2. Collect like terms to simplify the following:$$ -3e + (-S) + 3l + -3S $$ Correct Answer $$ -3e + -4S + 3l $$