1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(-3e + 5y\right) $$ Correct Answer $$ -15e + 25y $$ 2. Expand the brackets to simplify the following:$$ 3\left(-5P + 6Y\right) $$ Correct Answer $$ -15P + 18Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3x + -5f\right)}^{2} $$ Correct Answer $$ 9{x}^{2} - 30xf + 25{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6g + -4d\right)}^{2} $$ Correct Answer $$ 36{g}^{2} - 48gd + 16{d}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6X + 3j + -3n + 6j $$ Correct Answer $$ -6X + 9j - 3n $$ 2. Collect like terms to simplify the following:$$ 3g + -3y + -2u + 4y $$ Correct Answer $$ 3g + y - 2u $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 3}{-6x + 2} + \frac{1x + -3}{-5x + -1} $$ Correct Answer $$ \frac{-31{x}^{2} - 9}{30{x}^{2} - 4x - 2} $$ 2. Simplify the following:$$ \frac{4x + -4}{-4x + -4} + \frac{-3x + -2}{-4x + -4} $$ Correct Answer $$ \frac{-4{x}^{2} + 24 + 20x}{16{x}^{2} + 32x + 16} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \cos\left(-6x + yz\right),$$ Given that x = -2.0, y = 1.0, z = 1.0 Correct Answer 0.907 2. Find h to 3 significant figures in the following equation: $$ h = \sin\left(yz\right)\ln\left(\sin\left(x\right)\right),$$ Given that x = 1.0, y = 2.0, z = 6.0 Correct Answer 0.0926

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$3{x}^{2} + -5x + -1 = 0$$ Correct Answer $$\frac{5 + \sqrt{37}}{6}$$ and $$\frac{5 - \sqrt{37}}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(4i + -2j\right) $$ Correct Answer $$ -24i + 12j $$ 2. Expand the brackets to simplify the following:$$ 6\left(-3e + -3h\right) $$ Correct Answer $$ -18e - 18h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3a + 4f\right)}^{2} $$ Correct Answer $$ 9{a}^{2} - 24af + 16{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4g + 6b\right)}^{2} $$ Correct Answer $$ 16{g}^{2} + 48gb + 36{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2R + -2f + 1z + -2f $$ Correct Answer $$ 2R + -4f + z $$ 2. Collect like terms to simplify the following:$$ 1x + 3h + 5m + 2h $$ Correct Answer $$ x + 5h + 5m $$