1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(6P + 4j\right) $$ Correct Answer $$ -24P - 16j $$ 2. Expand the brackets to simplify the following:$$ 2\left(5i + 5Q\right) $$ Correct Answer $$ 10i + 10Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6P + 3h\right)}^{2} $$ Correct Answer $$ 36{P}^{2} - 36Ph + 9{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4g + -2f\right)}^{2} $$ Correct Answer $$ 16{g}^{2} + 16gf + 4{f}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1R + -5Q + 3k + 5Q $$ Correct Answer $$ R + 3k $$ 2. Collect like terms to simplify the following:$$ 1i + 1b + 4m + 4b $$ Correct Answer $$ i + 5b + 4m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-5x + 6}{3x + -3} + \frac{-6x + 1}{6x + -1} $$ Correct Answer $$ \frac{-48{x}^{2} + 62x - 9}{18{x}^{2} - 21x + 3} $$ 2. Simplify the following:$$ \frac{-3x + 3}{-6x + -2} + \frac{6x + -1}{6x + -6} $$ Correct Answer $$ \frac{-54{x}^{2} + 30x - 16}{-36{x}^{2} + 24x + 12} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\frac{2{6}^{z}}{y} + x\sin\left(y\right)}{4},$$ Given that x = 3.0, y = 1.0, z = 5.0 Correct Answer 3890 2. Find V to 3 significant figures in the following equation: $$ V = \frac{xz - 2y}{\exp\left(x + 4\right)},$$ Given that x = 5.0, y = 3.0, z = 5.0 Correct Answer 0.00234

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$yz + \sqrt{z} - \ln\left(x\right)\sin\left(z\right) = \exp\left(z\right)\ln\left(z\right) - \frac{\left(x + y\right)m}{x},$$ Correct Answer $$m = \frac{\left(\exp\left(z\right)\ln\left(z\right) - \left(yz + \sqrt{z} - \ln\left(x\right)\sin\left(z\right)\right)\right)x}{x + y}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{(-y\exp\left(y\right)) + 5\left(x + 2\right)\left(z - 2\right)}{5} = \frac{\frac{12y}{m} - \left(z + 6\sqrt{x}\right)}{6},$$ Correct Answer $$m = \frac{12y}{\frac{(-y\exp\left(y\right)) + 5\left(x + 2\right)\left(z - 2\right)}{5}6 + z + 6\sqrt{x}}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + 5x = -2$$ Correct Answer $$\frac{(-\left(\sqrt{33} - 5\right))}{2}$$ and $$\frac{(-\left(-5 - \sqrt{33}\right))}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -3\left(2e + (-f)\right) $$ Correct Answer $$ -6e + 3f $$ 2. Expand the brackets to simplify the following:$$ 2\left(4g + -4Q\right) $$ Correct Answer $$ 8g - 8Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6c + 5b\right)}^{2} $$ Correct Answer $$ 36{c}^{2} - 60cb + 25{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3B + 3Q\right)}^{2} $$ Correct Answer $$ 9{B}^{2} - 18BQ + 9{Q}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3c + 3j + 2z + 6j $$ Correct Answer $$ -3c + 9j + 2z $$ 2. Collect like terms to simplify the following:$$ 3c + 1Q + 2z + -4Q $$ Correct Answer $$ 3c + -3Q + 2z $$