1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(-5P + -4A\right) $$ Correct Answer $$ 20P + 16A $$ 2. Expand the brackets to simplify the following:$$ 6\left(-5X + 6j\right) $$ Correct Answer $$ -30X + 36j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2g + 6b\right)}^{2} $$ Correct Answer $$ 4{g}^{2} - 24gb + 36{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6B + (-y)\right)}^{2} $$ Correct Answer $$ 36{B}^{2} + 12By + {y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-P) + 3f + 4v + -3f $$ Correct Answer $$ (-P) + 4v $$ 2. Collect like terms to simplify the following:$$ 6a + -5Y + 2Z + 6Y $$ Correct Answer $$ 6a + Y + 2Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-2x + 6}{3x + -2} + \frac{2x + -5}{1x + 5} $$ Correct Answer $$ \frac{4{x}^{2} + -23x + 40}{3{x}^{2} + 13x - 10} $$ 2. Simplify the following:$$ \frac{1x + 4}{4x + -6} + \frac{6x + -4}{1x + 2} $$ Correct Answer $$ \frac{25{x}^{2} + -46x + 32}{4{x}^{2} + 2x - 12} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{{2}^{\ln\left(z\right)}}{4y + x + 3},$$ Given that x = 1.0, y = 6.0, z = 1.0 Correct Answer 0.0357 2. Find V to 3 significant figures in the following equation: $$ V = \sqrt{yz} + \sin\left(2x\right),$$ Given that x = -5.0, y = -1.0, z = -2.0 Correct Answer 1.96

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{(-\left(x + 3\right)\left(-6 - x\right))}{3y{z}^{2}} = \frac{(-\left(x + y\right)m)}{3x},$$ Correct Answer $$m = \frac{\frac{\frac{(-\left(x + 3\right)\left(-6 - x\right))}{3y{z}^{2}}3x}{-1}}{x + y}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{(-{5}^{y}y)}{5\left(\exp\left(z\right) - \sin\left(x\right)\right)} = \frac{4zm}{\sin\left(y\right)},$$ Correct Answer $$m = \frac{\frac{\frac{(-{5}^{y}y)}{5\left(\exp\left(z\right) - \sin\left(x\right)\right)}\sin\left(y\right)}{4}}{z}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-4{x}^{2} + 6x = -3$$ Correct Answer $$\frac{(-\left(\sqrt{84} - 6\right))}{8}$$ and $$\frac{(-\left(-6 - \sqrt{84}\right))}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(6B + 6A\right) $$ Correct Answer $$ 36B + 36A $$ 2. Expand the brackets to simplify the following:$$ 1\left(2P + 4y\right) $$ Correct Answer $$ 2P + 4y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1i + 5d\right)}^{2} $$ Correct Answer $$ {i}^{2} + 10id + 25{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2i + 2y\right)}^{2} $$ Correct Answer $$ 4{i}^{2} + 8iy + 4{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3e + -3S + -4l + 5S $$ Correct Answer $$ 3e + 2S - 4l $$ 2. Collect like terms to simplify the following:$$ -5a + 3h + -6v + 4h $$ Correct Answer $$ -5a + 7h - 6v $$