1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-6c + 4j\right) $$ Correct Answer $$ -24c + 16j $$ 2. Expand the brackets to simplify the following:$$ -6\left(1g + -5Y\right) $$ Correct Answer $$ -6g + 30Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(6c + -5d\right)}^{2} $$ Correct Answer $$ 36{c}^{2} - 60cd + 25{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5c + -4j\right)}^{2} $$ Correct Answer $$ 25{c}^{2} - 40cj + 16{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6R + 3h + 6n + 5h $$ Correct Answer $$ -6R + 8h + 6n $$ 2. Collect like terms to simplify the following:$$ (-X) + 3f + 2u + 2f $$ Correct Answer $$ (-X) + 5f + 2u $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + 6}{-6x + -6} + \frac{1x + -5}{1x + -5} $$ Correct Answer $$ \frac{-9{x}^{2} + 45x}{-6{x}^{2} + 24x + 30} $$ 2. Simplify the following:$$ \frac{5x + 3}{2x + -2} + \frac{2x + -2}{1x + 3} $$ Correct Answer $$ \frac{9{x}^{2} + 10x + 13}{2{x}^{2} + 4x - 6} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = {6}^{y} - \frac{x}{z} + \cos\left(\ln\left(z\right)\right),$$ Given that x = -3.0, y = -5.0, z = 6.0 Correct Answer 0.281 2. Find h to 3 significant figures in the following equation: $$ h = {5}^{\sqrt{y}} - {2}^{xz},$$ Given that x = -4.0, y = 1.0, z = -4.0 Correct Answer -65500

6.

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

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

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -3\left(-4B + 1j\right) $$ Correct Answer $$ 12B - 3j $$ 2. Expand the brackets to simplify the following:$$ -2\left(6P + 5d\right) $$ Correct Answer $$ -12P - 10d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(4B + -2f\right)}^{2} $$ Correct Answer $$ 16{B}^{2} - 16Bf + 4{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2a + -4Y\right)}^{2} $$ Correct Answer $$ 4{a}^{2} + 16aY + 16{Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4X + -6h + 4l + -5h $$ Correct Answer $$ -4X + -11h + 4l $$ 2. Collect like terms to simplify the following:$$ 3R + 3y + -5Z + 1y $$ Correct Answer $$ 3R + 4y - 5Z $$