1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(2x + 1f\right) $$ Correct Answer $$ 4x + 2f $$ 2. Expand the brackets to simplify the following:$$ 2\left((-g) + -4h\right) $$ Correct Answer $$ -2g - 8h $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1c + -4j\right)}^{2} $$ Correct Answer $$ {c}^{2} - 8cj + 16{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6c + 1j\right)}^{2} $$ Correct Answer $$ 36{c}^{2} - 12cj + {j}^{2} $$

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

4.

Adding fractions 1. Simplify the following:$$ \frac{1x + 6}{(-x) + -2} + \frac{(-x) + -6}{4x + -2} $$ Correct Answer $$ \frac{5{x}^{2} + 30x}{-4{x}^{2} - 6x + 4} $$ 2. Simplify the following:$$ \frac{-2x + -2}{4x + -2} + \frac{6x + 1}{2x + 2} $$ Correct Answer $$ \frac{20{x}^{2} + -16x - 6}{8{x}^{2} + 4x - 4} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \left(-2y - {6}^{z}\right)\left(\frac{4}{x} + \frac{z}{y}\right),$$ Given that x = -1.0, y = -1.0, z = 2.0 Correct Answer 204 2. Find k to 3 significant figures in the following equation: $$ k = \frac{y\exp\left(z\right)}{x} - \left(xy + \ln\left(x\right)\right),$$ Given that x = 2.0, y = -2.0, z = -4.0 Correct Answer 3.29

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-2{x}^{2} + 6x = -3$$ Correct Answer $$\frac{(-\left(\sqrt{60} - 6\right))}{4}$$ and $$\frac{(-\left(-6 - \sqrt{60}\right))}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(4X + 4Q\right) $$ Correct Answer $$ 16X + 16Q $$ 2. Expand the brackets to simplify the following:$$ -6\left(-6X + (-A)\right) $$ Correct Answer $$ 36X + 6A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4a + (-j)\right)}^{2} $$ Correct Answer $$ 16{a}^{2} + 8aj + {j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4x + -2b\right)}^{2} $$ Correct Answer $$ 16{x}^{2} - 16xb + 4{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3g + -4b + -6n + 5b $$ Correct Answer $$ 3g + b - 6n $$ 2. Collect like terms to simplify the following:$$ 2X + -6b + -3v + 3b $$ Correct Answer $$ 2X + -3b - 3v $$