1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(4P + 1h\right) $$ Correct Answer $$ -16P - 4h $$ 2. Expand the brackets to simplify the following:$$ 2\left(2c + -6Y\right) $$ Correct Answer $$ 4c - 12Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5c + (-b)\right)}^{2} $$ Correct Answer $$ 25{c}^{2} - 10cb + {b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1x + (-b)\right)}^{2} $$ Correct Answer $$ {x}^{2} - 2xb + {b}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 4R + -6b + 3k + 3b $$ Correct Answer $$ 4R + -3b + 3k $$ 2. Collect like terms to simplify the following:$$ -5i + -3h + -3m + 5h $$ Correct Answer $$ -5i + 2h - 3m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{1x + -3}{2x + -4} + \frac{-2x + 3}{-3x + -4} $$ Correct Answer $$ \frac{-7{x}^{2} + 19x}{-6{x}^{2} + 4x + 16} $$ 2. Simplify the following:$$ \frac{5x + 6}{3x + -2} + \frac{-5x + -1}{-5x + -1} $$ Correct Answer $$ \frac{-40{x}^{2} + -28x - 4}{-15{x}^{2} + 7x + 2} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\frac{2}{x} - \cos\left(y\right)}{\sin\left(3 + z\right)},$$ Given that x = -6.0, y = -6.0, z = -4.0 Correct Answer 1.54 2. Find B to 3 significant figures in the following equation: $$ B = \left(yz + x - z\right)\left(-2x + 6y\right),$$ Given that x = -1.0, y = 2.0, z = -6.0 Correct Answer -98.0

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + 5x = -5$$ Correct Answer $$\frac{(-\left(\sqrt{45} - 5\right))}{2}$$ and $$\frac{(-\left(-5 - \sqrt{45}\right))}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-5c + 3y\right) $$ Correct Answer $$ -20c + 12y $$ 2. Expand the brackets to simplify the following:$$ 1\left(5e + 4Y\right) $$ Correct Answer $$ 5e + 4Y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-i) + -5f\right)}^{2} $$ Correct Answer $$ {i}^{2} + 10if + 25{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4x + -4b\right)}^{2} $$ Correct Answer $$ 16{x}^{2} + 32xb + 16{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2X + 4S + -2k + -3S $$ Correct Answer $$ -2X + S - 2k $$ 2. Collect like terms to simplify the following:$$ -5i + 3S + -6Z + -3S $$ Correct Answer $$ -5i - 6Z $$