1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(4a + 4A\right) $$ Correct Answer $$ 20a + 20A $$ 2. Expand the brackets to simplify the following:$$ 1\left(-4X + -3Q\right) $$ Correct Answer $$ -4X - 3Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1e + -3Q\right)}^{2} $$ Correct Answer $$ {e}^{2} - 6eQ + 9{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2B + 3j\right)}^{2} $$ Correct Answer $$ 4{B}^{2} + 12Bj + 9{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2R + 2f + -6u + -6f $$ Correct Answer $$ -2R + -4f - 6u $$ 2. Collect like terms to simplify the following:$$ 3X + -3j + 6k + -5j $$ Correct Answer $$ 3X + -8j + 6k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-2x + 6}{2x + -1} + \frac{-4x + 2}{(-x) + -5} $$ Correct Answer $$ \frac{-6{x}^{2} + 12x - 32}{-2{x}^{2} - 9x + 5} $$ 2. Simplify the following:$$ \frac{(-x) + 4}{-6x + -1} + \frac{-2x + -3}{6x + 3} $$ Correct Answer $$ \frac{6{x}^{2} + 41x + 15}{-36{x}^{2} - 24x - 3} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\frac{x}{z} - \sin\left(y\right)}{\ln\left(\cos\left(y\right)\right)},$$ Given that x = 1.0, y = -5.0, z = 3.0 Correct Answer 0.497 2. Find h to 3 significant figures in the following equation: $$ h = \frac{y - x}{\sin\left(x\right)} - \sin\left(\sqrt{z}\right),$$ Given that x = 1.0, y = -2.0, z = 3.0 Correct Answer -4.55

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{-2x\cos\left(\sqrt{y}\right)}{3z} = \frac{\left(y - m\right)\left(3x - \sqrt{z}\right)}{4},$$ Correct Answer $$m = y - \frac{\frac{-2x\cos\left(\sqrt{y}\right)}{3z}4}{3x - \sqrt{z}}$$ 2. Rearrange the following equation to get an expression for m: $$\exp\left(-6 - y\right) - \exp\left(xz\right) = \frac{mz}{\exp\left(z\right)} - 2\sqrt{x},$$ Correct Answer $$m = \frac{\left(\exp\left(-6 - y\right) - \exp\left(xz\right) + 2\sqrt{x}\right)\exp\left(z\right)}{z}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$3{x}^{2} + 1x = 5$$ Correct Answer $$\frac{\sqrt{61} - 1}{6}$$ and $$\frac{-1 - \sqrt{61}}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(6P + 3j\right) $$ Correct Answer $$ 24P + 12j $$ 2. Expand the brackets to simplify the following:$$ 5\left((-i) + -4d\right) $$ Correct Answer $$ -5i - 20d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5c + 1j\right)}^{2} $$ Correct Answer $$ 25{c}^{2} + 10cj + {j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5a + 2y\right)}^{2} $$ Correct Answer $$ 25{a}^{2} - 20ay + 4{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6x + -4y + -3z + 5y $$ Correct Answer $$ -6x + y - 3z $$ 2. Collect like terms to simplify the following:$$ -6c + -5Q + 4v + 4Q $$ Correct Answer $$ -6c + (-Q) + 4v $$