1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(2a + 2j\right) $$ Correct Answer $$ -8a - 8j $$ 2. Expand the brackets to simplify the following:$$ 4\left(2P + (-A)\right) $$ Correct Answer $$ 8P - 4A $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(4X + -3Q\right)}^{2} $$ Correct Answer $$ 16{X}^{2} - 24XQ + 9{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6a + -3y\right)}^{2} $$ Correct Answer $$ 36{a}^{2} + 36ay + 9{y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5c + 2h + 3z + -5h $$ Correct Answer $$ 5c + -3h + 3z $$ 2. Collect like terms to simplify the following:$$ -2c + 2Q + 5l + 5Q $$ Correct Answer $$ -2c + 7Q + 5l $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + -5}{-3x + 6} + \frac{-4x + 2}{-4x + 6} $$ Correct Answer $$ \frac{24{x}^{2} + -28x - 18}{12{x}^{2} - 42x + 36} $$ 2. Simplify the following:$$ \frac{-3x + 1}{-6x + 1} + \frac{-5x + -1}{1x + -2} $$ Correct Answer $$ \frac{27{x}^{2} + 8x - 3}{-6{x}^{2} + 13x - 2} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(x + y\right)\left(2x - \sin\left(z\right)\right)}{\cos\left(z\right)},$$ Given that x = -6.0, y = 3.0, z = -2.0 Correct Answer -80.0 2. Find k to 3 significant figures in the following equation: $$ k = \frac{\exp\left(y\right) - \exp\left(z\right)}{\sin\left(\frac{(-x)}{2}\right)},$$ Given that x = -1.0, y = 3.0, z = 2.0 Correct Answer 26.5

6.

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

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

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

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5x + -4y\right)}^{2} $$ Correct Answer $$ 25{x}^{2} + 40xy + 16{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2c + -3y\right)}^{2} $$ Correct Answer $$ 4{c}^{2} + 12cy + 9{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5x + -4y + 6n + -5y $$ Correct Answer $$ -5x + -9y + 6n $$ 2. Collect like terms to simplify the following:$$ 2e + 4d + 6Z + 1d $$ Correct Answer $$ 2e + 5d + 6Z $$