1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(-2i + 3Y\right)) $$ Correct Answer $$ 2i - 3Y $$ 2. Expand the brackets to simplify the following:$$ 2\left(5g + -2h\right) $$ Correct Answer $$ 10g - 4h $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5X + -6h\right)}^{2} $$ Correct Answer $$ 25{X}^{2} - 60Xh + 36{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-i) + -2j\right)}^{2} $$ Correct Answer $$ {i}^{2} + 4ij + 4{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-a) + -6y + 2k + -6y $$ Correct Answer $$ (-a) + -12y + 2k $$ 2. Collect like terms to simplify the following:$$ 2X + -4y + 5Z + -3y $$ Correct Answer $$ 2X + -7y + 5Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + -3}{-3x + -3} + \frac{5x + 5}{-6x + -4} $$ Correct Answer $$ \frac{-39{x}^{2} + -28x - 3}{18{x}^{2} + 30x + 12} $$ 2. Simplify the following:$$ \frac{6x + -3}{1x + 4} + \frac{6x + -3}{6x + 3} $$ Correct Answer $$ \frac{42{x}^{2} + 21x - 21}{6{x}^{2} + 27x + 12} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(2x + 5z\right)\exp\left(z\right)}{\cos\left(y\right)},$$ Given that x = 4.0, y = 5.0, z = -5.0 Correct Answer -0.404 2. Find h to 3 significant figures in the following equation: $$ h = \left(6y + 6z\right)\sqrt{\exp\left(x\right)},$$ Given that x = 6.0, y = 1.0, z = -3.0 Correct Answer -241

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + 5x = 4$$ Correct Answer $$1$$ and $$4$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(4i + 5y\right) $$ Correct Answer $$ -24i - 30y $$ 2. Expand the brackets to simplify the following:$$ -2\left(-2i + 5Q\right) $$ Correct Answer $$ 4i - 10Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5B + (-b)\right)}^{2} $$ Correct Answer $$ 25{B}^{2} - 10Bb + {b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3e + -5A\right)}^{2} $$ Correct Answer $$ 9{e}^{2} + 30eA + 25{A}^{2} $$

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