1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(1g + -4Q\right) $$ Correct Answer $$ 3g - 12Q $$ 2. Expand the brackets to simplify the following:$$ 6\left(1i + 2h\right) $$ Correct Answer $$ 6i + 12h $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3X + (-Y)\right)}^{2} $$ Correct Answer $$ 9{X}^{2} - 6XY + {Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5a + -2Q\right)}^{2} $$ Correct Answer $$ 25{a}^{2} - 20aQ + 4{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1g + -6j + -4n + -2j $$ Correct Answer $$ g + -8j - 4n $$ 2. Collect like terms to simplify the following:$$ -4e + -6h + -3m + 3h $$ Correct Answer $$ -4e + -3h - 3m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 6}{2x + 2} + \frac{2x + 3}{(-x) + -6} $$ Correct Answer $$ \frac{(-{x}^{2}) + -26x - 30}{-2{x}^{2} - 14x - 12} $$ 2. Simplify the following:$$ \frac{-2x + -2}{2x + -4} + \frac{-3x + -5}{5x + -2} $$ Correct Answer $$ \frac{-16{x}^{2} + -4x + 24}{10{x}^{2} - 24x + 8} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(y + x\right)\sin\left(-6z\right)}{z - y},$$ Given that x = -3.0, y = -4.0, z = -1.0 Correct Answer 0.652 2. Find h to 3 significant figures in the following equation: $$ h = \sin\left(\frac{z - y}{6x}\right),$$ Given that x = 6.0, y = 1.0, z = 5.0 Correct Answer 0.111

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\left(\exp\left(x\right) + \ln\left(z\right)\right)\exp\left(\sqrt{y}\right) = \left(\frac{m}{x} + 3y\right)\left(-4y + \sqrt{y}\right),$$ Correct Answer $$m = \left(\frac{\left(\exp\left(x\right) + \ln\left(z\right)\right)\exp\left(\sqrt{y}\right)}{-4y + \sqrt{y}} - 3y\right)x$$ 2. Rearrange the following equation to get an expression for m: $$\ln\left(x\right)\exp\left(y\right) - \sin\left(\sqrt{z}\right) = \left({4}^{m} - \sqrt{z}\right)\exp\left(2y\right),$$ Correct Answer $$m = \frac{\ln\left(\frac{\ln\left(x\right)\exp\left(y\right) - \sin\left(\sqrt{z}\right)}{\exp\left(2y\right)} + \sqrt{z}\right)}{\ln\left(4\right)}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-6{x}^{2} + -5x + 3 = 0$$ Correct Answer $$\frac{(-\left(5 + \sqrt{97}\right))}{12}$$ and $$\frac{(-\left(5 - \sqrt{97}\right))}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(1P + -3f\right) $$ Correct Answer $$ 3P - 9f $$ 2. Expand the brackets to simplify the following:$$ -6\left(-2x + 5b\right) $$ Correct Answer $$ 12x - 30b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3B + -4d\right)}^{2} $$ Correct Answer $$ 9{B}^{2} - 24Bd + 16{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6i + -3b\right)}^{2} $$ Correct Answer $$ 36{i}^{2} + 36ib + 9{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1c + -6f + 4m + 1f $$ Correct Answer $$ c + -5f + 4m $$ 2. Collect like terms to simplify the following:$$ (-g) + -4f + -2u + 1f $$ Correct Answer $$ (-g) + -3f - 2u $$