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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3g + 2Q\right)}^{2} $$ Correct Answer $$ 9{g}^{2} + 12gQ + 4{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4X + 2f\right)}^{2} $$ Correct Answer $$ 16{X}^{2} - 16Xf + 4{f}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3P + -2Y + 2Z + -4Y $$ Correct Answer $$ -3P + -6Y + 2Z $$ 2. Collect like terms to simplify the following:$$ -5g + 5Y + (-z) + 5Y $$ Correct Answer $$ -5g + 10Y - z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{2x + -6}{-3x + -1} + \frac{6x + 1}{6x + 2} $$ Correct Answer $$ \frac{-6{x}^{2} + -41x - 13}{-18{x}^{2} - 12x - 2} $$ 2. Simplify the following:$$ \frac{6x + 4}{1x + -6} + \frac{-6x + -1}{4x + -5} $$ Correct Answer $$ \frac{18{x}^{2} + 21x - 14}{4{x}^{2} - 29x + 30} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \sin\left(\frac{-2\left(y + z\right)}{x}\right),$$ Given that x = 2.0, y = 6.0, z = 5.0 Correct Answer 1.000 2. Find B to 3 significant figures in the following equation: $$ B = \left(2z + \sqrt{x}\right)\left(xz + \sin\left(y\right)\right),$$ Given that x = 2.0, y = -6.0, z = -3.0 Correct Answer 26.2

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\left(z - 3\right)\left(y - x\right) + \ln\left(y - 6\right) = \frac{-6\left(-10x - z\right)y}{5\left(2 + m\right)},$$ Correct Answer $$m = \frac{\frac{-6\left(-10x - z\right)y}{\left(z - 3\right)\left(y - x\right) + \ln\left(y - 6\right)}}{5} - 2$$ 2. Rearrange the following equation to get an expression for m: $$\left(x + 3\right)\cos\left(x\right) + {4}^{z} - \sin\left(y\right) = \frac{\left(-6 - y\right)yz}{\cos\left(y\right)\left(m + x\right)},$$ Correct Answer $$m = \frac{\frac{\left(-6 - y\right)yz}{\left(x + 3\right)\cos\left(x\right) + {4}^{z} - \sin\left(y\right)}}{\cos\left(y\right)} - x$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-4{x}^{2} + -5x = -2$$ Correct Answer $$\frac{(-\left(5 + \sqrt{57}\right))}{8}$$ and $$\frac{(-\left(5 - \sqrt{57}\right))}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(-5e + -4d\right) $$ Correct Answer $$ -5e - 4d $$ 2. Expand the brackets to simplify the following:$$ 5\left(-4e + -5Q\right) $$ Correct Answer $$ -20e - 25Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(6a + 4d\right)}^{2} $$ Correct Answer $$ 36{a}^{2} + 48ad + 16{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4i + -4Y\right)}^{2} $$ Correct Answer $$ 16{i}^{2} + 32iY + 16{Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1P + 6f + 6Z + 1f $$ Correct Answer $$ P + 7f + 6Z $$ 2. Collect like terms to simplify the following:$$ -2a + -4j + (-z) + -5j $$ Correct Answer $$ -2a + -9j - z $$