1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(6x + 2b\right) $$ Correct Answer $$ 6x + 2b $$ 2. Expand the brackets to simplify the following:$$ -3\left(1g + -2j\right) $$ Correct Answer $$ -3g + 6j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2g + (-d)\right)}^{2} $$ Correct Answer $$ 4{g}^{2} + 4gd + {d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5g + -6Q\right)}^{2} $$ Correct Answer $$ 25{g}^{2} - 60gQ + 36{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3a + -5j + (-u) + -5j $$ Correct Answer $$ 3a + -10j - u $$ 2. Collect like terms to simplify the following:$$ 6a + -2y + -6v + -3y $$ Correct Answer $$ 6a + -5y - 6v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-5x + 1}{-6x + 4} + \frac{(-x) + -1}{-4x + 3} $$ Correct Answer $$ \frac{26{x}^{2} + -17x - 1}{24{x}^{2} - 34x + 12} $$ 2. Simplify the following:$$ \frac{-5x + 2}{3x + 5} + \frac{3x + -3}{-2x + -3} $$ Correct Answer $$ \frac{19{x}^{2} + 17x - 21}{-6{x}^{2} - 19x - 15} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(y - z\right)\cos\left(x\right)}{\ln\left(\frac{-4}{x}\right)},$$ Given that x = -6.0, y = -1.0, z = -2.0 Correct Answer -2.37 2. Find k to 3 significant figures in the following equation: $$ k = {5}^{\frac{y}{x}} - \left(5 - y + \frac{z}{y}\right),$$ Given that x = 4.0, y = 1.0, z = -1.0 Correct Answer -1.50

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$6{x}^{2} + -5x = 2$$ Correct Answer $$\frac{5 + \sqrt{73}}{12}$$ and $$\frac{5 - \sqrt{73}}{12}$$

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

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(6i + 2y\right)}^{2} $$ Correct Answer $$ 36{i}^{2} + 24iy + 4{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5e + 3b\right)}^{2} $$ Correct Answer $$ 25{e}^{2} + 30eb + 9{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2a + 3f + -4l + 6f $$ Correct Answer $$ 2a + 9f - 4l $$ 2. Collect like terms to simplify the following:$$ 2g + -6Y + 6u + 4Y $$ Correct Answer $$ 2g + -2Y + 6u $$