1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -3\left(3B + 6d\right) $$ Correct Answer $$ -9B - 18d $$ 2. Expand the brackets to simplify the following:$$ 5\left((-x) + -3f\right) $$ Correct Answer $$ -5x - 15f $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2B + 2Y\right)}^{2} $$ Correct Answer $$ 4{B}^{2} - 8BY + 4{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1X + -3Q\right)}^{2} $$ Correct Answer $$ {X}^{2} - 6XQ + 9{Q}^{2} $$

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

4.

Adding fractions 1. Simplify the following:$$ \frac{(-x) + -4}{6x + -4} + \frac{-5x + 6}{3x + 6} $$ Correct Answer $$ \frac{-33{x}^{2} + 38x - 48}{18{x}^{2} + 24x - 24} $$ 2. Simplify the following:$$ \frac{-3x + -4}{-2x + 6} + \frac{-3x + 5}{-5x + 5} $$ Correct Answer $$ \frac{21{x}^{2} + -23x + 10}{10{x}^{2} - 40x + 30} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{z - 2\sin\left(x\right) + 2\sin\left((-y)\right)}{2},$$ Given that x = 1.0, y = 6.0, z = 5.0 Correct Answer 1.94 2. Find B to 3 significant figures in the following equation: $$ B = z - y + \exp\left(x\right) - {4}^{\left(z - 4\right)},$$ Given that x = 5.0, y = 5.0, z = -4.0 Correct Answer 139

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{-3x}{z} + \frac{z\sqrt{y}}{x} = \left(y + 3\right)\left(x - m\right) - \sin\left(z - 2\right),$$ Correct Answer $$m = x - \frac{\frac{-3x}{z} + \frac{z\sqrt{y}}{x} + \sin\left(z - 2\right)}{y + 3}$$ 2. Rearrange the following equation to get an expression for m: $$\left(\frac{-5}{z} + \sin\left(y\right)\right)\left(xy - \cos\left(z\right)\right) = \frac{4m\ln\left(x - 3\right)}{xz},$$ Correct Answer $$m = \frac{\frac{\left(\frac{-5}{z} + \sin\left(y\right)\right)\left(xy - \cos\left(z\right)\right)xz}{4}}{\ln\left(x - 3\right)}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 6x + -3 = 0$$ Correct Answer $$\frac{\sqrt{48} - 6}{2}$$ and $$\frac{-6 - \sqrt{48}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(-4c + -5y\right) $$ Correct Answer $$ -12c - 15y $$ 2. Expand the brackets to simplify the following:$$ -3\left(1i + -2h\right) $$ Correct Answer $$ -3i + 6h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3a + 3Y\right)}^{2} $$ Correct Answer $$ 9{a}^{2} - 18aY + 9{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4B + -2f\right)}^{2} $$ Correct Answer $$ 16{B}^{2} + 16Bf + 4{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6X + 5f + 1z + -2f $$ Correct Answer $$ -6X + 3f + z $$ 2. Collect like terms to simplify the following:$$ 2e + 6Y + -4n + (-Y) $$ Correct Answer $$ 2e + 5Y - 4n $$