1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-5x + 1b\right) $$ Correct Answer $$ -10x + 2b $$ 2. Expand the brackets to simplify the following:$$ (-\left(-4x + -6b\right)) $$ Correct Answer $$ 4x + 6b $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2e + -4A\right)}^{2} $$ Correct Answer $$ 4{e}^{2} + 16eA + 16{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-a) + -2h\right)}^{2} $$ Correct Answer $$ {a}^{2} + 4ah + 4{h}^{2} $$

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

4.

Adding fractions 1. Simplify the following:$$ \frac{-5x + 3}{1x + 4} + \frac{5x + -3}{6x + -5} $$ Correct Answer $$ \frac{-25{x}^{2} + 60x - 27}{6{x}^{2} + 19x - 20} $$ 2. Simplify the following:$$ \frac{1x + -2}{5x + 4} + \frac{2x + 2}{1x + -5} $$ Correct Answer $$ \frac{11{x}^{2} + 11x + 18}{5{x}^{2} - 21x - 20} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{{2}^{z}\ln\left(5 - y\right)}{\sin\left(x\right)},$$ Given that x = -3.0, y = 2.0, z = -5.0 Correct Answer -0.243 2. Find k to 3 significant figures in the following equation: $$ k = \left(z + 3\right)\sin\left(x\right) - \sin\left(\frac{z}{y}\right),$$ Given that x = -5.0, y = -2.0, z = -4.0 Correct Answer -1.87

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$3{x}^{2} + (-x) + -3 = 0$$ Correct Answer $$\frac{1 + \sqrt{37}}{6}$$ and $$\frac{1 - \sqrt{37}}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(5a + -4A\right)) $$ Correct Answer $$ -5a + 4A $$ 2. Expand the brackets to simplify the following:$$ -4\left(-5i + 4b\right) $$ Correct Answer $$ 20i - 16b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4i + 3Y\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 24iY + 9{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4e + 2Y\right)}^{2} $$ Correct Answer $$ 16{e}^{2} - 16eY + 4{Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-e) + 6h + -6u + 1h $$ Correct Answer $$ (-e) + 7h - 6u $$ 2. Collect like terms to simplify the following:$$ 3c + -3f + -3Z + (-f) $$ Correct Answer $$ 3c + -4f - 3Z $$