1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(4c + -2Y\right) $$ Correct Answer $$ 4c - 2Y $$ 2. Expand the brackets to simplify the following:$$ -6\left(-3P + 2Q\right) $$ Correct Answer $$ 18P - 12Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-a) + 5y\right)}^{2} $$ Correct Answer $$ {a}^{2} - 10ay + 25{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2g + 1Y\right)}^{2} $$ Correct Answer $$ 4{g}^{2} - 4gY + {Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4a + 1y + 3l + -5y $$ Correct Answer $$ -4a + -4y + 3l $$ 2. Collect like terms to simplify the following:$$ 3g + -2d + -6k + 5d $$ Correct Answer $$ 3g + 3d - 6k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{(-x) + 1}{-4x + 4} + \frac{-6x + 3}{6x + -4} $$ Correct Answer $$ \frac{18{x}^{2} + -26x + 8}{-24{x}^{2} + 40x - 16} $$ 2. Simplify the following:$$ \frac{-6x + 2}{3x + -5} + \frac{1x + -6}{1x + 3} $$ Correct Answer $$ \frac{-3{x}^{2} + -39x + 36}{3{x}^{2} + 4x - 15} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\ln\left(x\right)yz}{\exp\left(y\right){2}^{z}},$$ Given that x = 5.0, y = 5.0, z = 3.0 Correct Answer 0.0203 2. Find V to 3 significant figures in the following equation: $$ V = \left(\cos\left(x\right) - \sqrt{x}\right)\left(y - 6 - \sin\left(z\right)\right),$$ Given that x = 4.0, y = -3.0, z = -6.0 Correct Answer 24.6

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + -5x = -3$$ Correct Answer $$\frac{5 + \sqrt{13}}{2}$$ and $$\frac{5 - \sqrt{13}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -2\left(4i + 6h\right) $$ Correct Answer $$ -8i - 12h $$ 2. Expand the brackets to simplify the following:$$ -2\left((-x) + 1y\right) $$ Correct Answer $$ 2x - 2y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-X) + -5Q\right)}^{2} $$ Correct Answer $$ {X}^{2} + 10XQ + 25{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2P + -4f\right)}^{2} $$ Correct Answer $$ 4{P}^{2} - 16Pf + 16{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4P + 3b + -2k + -6b $$ Correct Answer $$ -4P + -3b - 2k $$ 2. Collect like terms to simplify the following:$$ 4a + 5d + -3z + 6d $$ Correct Answer $$ 4a + 11d - 3z $$