1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(5i + 1Q\right) $$ Correct Answer $$ -30i - 6Q $$ 2. Expand the brackets to simplify the following:$$ -6\left(5g + -3f\right) $$ Correct Answer $$ -30g + 18f $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5i + 1d\right)}^{2} $$ Correct Answer $$ 25{i}^{2} - 10id + {d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4X + 3h\right)}^{2} $$ Correct Answer $$ 16{X}^{2} + 24Xh + 9{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2X + 1h + -5k + (-h) $$ Correct Answer $$ -2X - 5k $$ 2. Collect like terms to simplify the following:$$ 3i + 1d + (-v) + 5d $$ Correct Answer $$ 3i + 6d - v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{3x + 2}{2x + 2} + \frac{3x + -5}{-6x + 2} $$ Correct Answer $$ \frac{-12{x}^{2} + -10x - 6}{-12{x}^{2} - 8x + 4} $$ 2. Simplify the following:$$ \frac{5x + 5}{-2x + -4} + \frac{1x + -6}{-4x + -2} $$ Correct Answer $$ \frac{-22{x}^{2} + -22x + 14}{8{x}^{2} + 20x + 8} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \sin\left(\frac{x + y}{\exp\left(z\right)}\right),$$ Given that x = -1.0, y = -6.0, z = 4.0 Correct Answer -0.128 2. Find k to 3 significant figures in the following equation: $$ k = \frac{-4y\sin\left(\cos\left(z\right)\right)}{\exp\left(x\right)},$$ Given that x = 3.0, y = -3.0, z = 3.0 Correct Answer -0.499

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$2z + \sqrt{x} - \frac{yz}{\cos\left(y\right)} = \frac{-6m\left(\ln\left(x\right) + \sqrt{y}\right)}{\cos\left(z\right)},$$ Correct Answer $$m = \frac{\frac{\left(2z + \sqrt{x} - \frac{yz}{\cos\left(y\right)}\right)\cos\left(z\right)}{-6}}{\ln\left(x\right) + \sqrt{y}}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{z - x}{1 + y} + \frac{-5\cos\left(y\right)}{z} = \frac{z}{x} + 6y + \frac{mz}{\exp\left(y\right)},$$ Correct Answer $$m = \frac{\left(\frac{z - x}{1 + y} + \frac{-5\cos\left(y\right)}{z} - \left(\frac{z}{x} + 6y\right)\right)\exp\left(y\right)}{z}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$5{x}^{2} + -3x + -6 = 0$$ Correct Answer $$\frac{3 + \sqrt{129}}{10}$$ and $$\frac{3 - \sqrt{129}}{10}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -2\left(-5B + 5y\right) $$ Correct Answer $$ 10B - 10y $$ 2. Expand the brackets to simplify the following:$$ -2\left(2X + -6y\right) $$ Correct Answer $$ -4X + 12y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4e + (-b)\right)}^{2} $$ Correct Answer $$ 16{e}^{2} + 8eb + {b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3B + (-b)\right)}^{2} $$ Correct Answer $$ 9{B}^{2} - 6Bb + {b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3P + (-Q) + -3v + 6Q $$ Correct Answer $$ 3P + 5Q - 3v $$ 2. Collect like terms to simplify the following:$$ 2a + (-h) + -4m + -3h $$ Correct Answer $$ 2a + -4h - 4m $$