1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(-3g + -3A\right) $$ Correct Answer $$ 18g + 18A $$ 2. Expand the brackets to simplify the following:$$ -4\left(3g + 4y\right) $$ Correct Answer $$ -12g - 16y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6g + -5A\right)}^{2} $$ Correct Answer $$ 36{g}^{2} + 60gA + 25{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1x + -6Q\right)}^{2} $$ Correct Answer $$ {x}^{2} - 12xQ + 36{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1g + 5b + 2Z + -4b $$ Correct Answer $$ g + b + 2Z $$ 2. Collect like terms to simplify the following:$$ 2R + -5Y + 3v + -6Y $$ Correct Answer $$ 2R + -11Y + 3v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{6x + -2}{(-x) + 6} + \frac{-5x + -2}{2x + 3} $$ Correct Answer $$ \frac{17{x}^{2} + -14x - 18}{-2{x}^{2} + 9x + 18} $$ 2. Simplify the following:$$ \frac{-6x + 6}{-4x + -2} + \frac{-4x + -3}{2x + -3} $$ Correct Answer $$ \frac{4{x}^{2} + 50x - 12}{-8{x}^{2} + 8x + 6} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \exp\left(z + y\right)\exp\left(\cos\left(x\right)\right),$$ Given that x = 4.0, y = 1.0, z = 6.0 Correct Answer 570 2. Find k to 3 significant figures in the following equation: $$ k = \exp\left(y\right)\cos\left(z\right) + \frac{x - 5}{\exp\left(z\right)},$$ Given that x = -5.0, y = 2.0, z = 4.0 Correct Answer -5.01

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\exp\left(\frac{xy}{\cos\left(z\right)}\right) = \frac{\left(2y + m\right)\ln\left(z\right)}{\sin\left(x\right)},$$ Correct Answer $$m = \frac{\exp\left(\frac{xy}{\cos\left(z\right)}\right)\sin\left(x\right)}{\ln\left(z\right)} - 2y$$ 2. Rearrange the following equation to get an expression for m: $$-3z + \exp\left(x\right) - \ln\left(z - y\right) = \left(m - 6\right)\left(y - 1\right) - \left(2z + 5y\right),$$ Correct Answer $$m = \frac{-3z + \exp\left(x\right) - \ln\left(z - y\right) + 2z + 5y}{y - 1} + 6$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-6{x}^{2} + 2x = -5$$ Correct Answer $$\frac{(-\left(\sqrt{124} - 2\right))}{12}$$ and $$\frac{(-\left(-2 - \sqrt{124}\right))}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(1e + 5y\right) $$ Correct Answer $$ 4e + 20y $$ 2. Expand the brackets to simplify the following:$$ -6\left(6i + 3Y\right) $$ Correct Answer $$ -36i - 18Y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(6g + -6Q\right)}^{2} $$ Correct Answer $$ 36{g}^{2} - 72gQ + 36{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2a + 4f\right)}^{2} $$ Correct Answer $$ 4{a}^{2} - 16af + 16{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-R) + -4y + 1k + -4y $$ Correct Answer $$ (-R) + -8y + k $$ 2. Collect like terms to simplify the following:$$ -2i + 4b + -5l + 2b $$ Correct Answer $$ -2i + 6b - 5l $$