1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(1x + 2Q\right) $$ Correct Answer $$ 4x + 8Q $$ 2. Expand the brackets to simplify the following:$$ -6\left((-e) + 6y\right) $$ Correct Answer $$ 6e - 36y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2a + -4A\right)}^{2} $$ Correct Answer $$ 4{a}^{2} - 16aA + 16{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2g + 4y\right)}^{2} $$ Correct Answer $$ 4{g}^{2} + 16gy + 16{y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-i) + 1Q + -6l + -6Q $$ Correct Answer $$ (-i) + -5Q - 6l $$ 2. Collect like terms to simplify the following:$$ -6a + -5d + 3z + 3d $$ Correct Answer $$ -6a + -2d + 3z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-2x + 5}{5x + 2} + \frac{2x + 4}{-3x + -6} $$ Correct Answer $$ \frac{16{x}^{2} + 21x - 22}{-15{x}^{2} - 36x - 12} $$ 2. Simplify the following:$$ \frac{6x + -4}{-3x + 3} + \frac{4x + -2}{6x + 5} $$ Correct Answer $$ \frac{24{x}^{2} + 24x - 26}{-18{x}^{2} + 3x + 15} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{x - z}{y + 2} - \exp\left(\frac{(-y)}{5}\right),$$ Given that x = 4.0, y = 4.0, z = -2.0 Correct Answer 0.551 2. Find h to 3 significant figures in the following equation: $$ h = \frac{{2}^{z}}{\exp\left(y\right)} - {3}^{2x},$$ Given that x = 1.0, y = -2.0, z = -6.0 Correct Answer -8.88

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\exp\left(z\right)\exp\left(x\right) - \left(6 + x\right)\left(y + z\right) = \frac{my\sin\left(x\right) - 2{5}^{\cos\left(z\right)}}{2},$$ Correct Answer $$m = \frac{\left(\exp\left(z\right)\exp\left(x\right) - \left(6 + x\right)\left(y + z\right)\right)2 + 2{5}^{\cos\left(z\right)}}{y\sin\left(x\right)}$$ 2. Rearrange the following equation to get an expression for m: $$\left(xz + 2y\right)\exp\left(4x\right) = {5}^{\sin\left(x\right)}\left(my + \sin\left(z\right)\right),$$ Correct Answer $$m = \frac{\frac{\left(xz + 2y\right)\exp\left(4x\right)}{{5}^{\sin\left(x\right)}} - \sin\left(z\right)}{y}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + -6x = -1$$ Correct Answer $$\frac{6 + \sqrt{32}}{2}$$ and $$\frac{6 - \sqrt{32}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -4\left(3x + -5j\right) $$ Correct Answer $$ -12x + 20j $$ 2. Expand the brackets to simplify the following:$$ -4\left((-i) + -4h\right) $$ Correct Answer $$ 4i + 16h $$

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

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4c + 4h + (-l) + (-h) $$ Correct Answer $$ -4c + 3h - l $$ 2. Collect like terms to simplify the following:$$ (-a) + (-y) + 2l + 2y $$ Correct Answer $$ (-a) + y + 2l $$