1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -2\left(2a + 6h\right) $$ Correct Answer $$ -4a - 12h $$ 2. Expand the brackets to simplify the following:$$ 2\left(2x + -5d\right) $$ Correct Answer $$ 4x - 10d $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(4i + -2j\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 16ij + 4{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6B + 4d\right)}^{2} $$ Correct Answer $$ 36{B}^{2} - 48Bd + 16{d}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2a + 4f + -5v + 6f $$ Correct Answer $$ 2a + 10f - 5v $$ 2. Collect like terms to simplify the following:$$ -2a + 5b + 5Z + 2b $$ Correct Answer $$ -2a + 7b + 5Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + 1}{-3x + -4} + \frac{-2x + -6}{-4x + -2} $$ Correct Answer $$ \frac{18{x}^{2} + 28x + 22}{12{x}^{2} + 22x + 8} $$ 2. Simplify the following:$$ \frac{-5x + -5}{(-x) + -4} + \frac{1x + -5}{1x + 4} $$ Correct Answer $$ \frac{-6{x}^{2} - 24x}{(-{x}^{2}) - 8x - 16} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \left(\cos\left(x\right) + \ln\left(y\right)\right)\exp\left(\sqrt{z}\right),$$ Given that x = 1.0, y = 5.0, z = 6.0 Correct Answer 24.9 2. Find B to 3 significant figures in the following equation: $$ B = \frac{3}{z} + \cos\left(x\right) - {6}^{\cos\left(y\right)},$$ Given that x = 1.0, y = -2.0, z = -6.0 Correct Answer -0.434

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$5{x}^{2} + -4x = 6$$ Correct Answer $$\frac{4 + \sqrt{136}}{10}$$ and $$\frac{4 - \sqrt{136}}{10}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-4e + 2A\right) $$ Correct Answer $$ -8e + 4A $$ 2. Expand the brackets to simplify the following:$$ 3\left(5x + -4y\right) $$ Correct Answer $$ 15x - 12y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3e + 1y\right)}^{2} $$ Correct Answer $$ 9{e}^{2} + 6ey + {y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1B + 2y\right)}^{2} $$ Correct Answer $$ {B}^{2} + 4By + 4{y}^{2} $$

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