1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(4i + -6y\right) $$ Correct Answer $$ -20i + 30y $$ 2. Expand the brackets to simplify the following:$$ -5\left(-4a + (-d)\right) $$ Correct Answer $$ 20a + 5d $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5B + 2h\right)}^{2} $$ Correct Answer $$ 25{B}^{2} - 20Bh + 4{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4i + -3Q\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 24iQ + 9{Q}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3X + (-Q) + 5z + 5Q $$ Correct Answer $$ -3X + 4Q + 5z $$ 2. Collect like terms to simplify the following:$$ 1R + 1h + 2k + 6h $$ Correct Answer $$ R + 7h + 2k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + -6}{3x + -1} + \frac{-6x + 6}{-2x + -2} $$ Correct Answer $$ \frac{-12{x}^{2} + 42x + 6}{-6{x}^{2} - 4x + 2} $$ 2. Simplify the following:$$ \frac{3x + 3}{6x + -5} + \frac{1x + -4}{-4x + -6} $$ Correct Answer $$ \frac{-6{x}^{2} + -59x + 2}{-24{x}^{2} - 16x + 30} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = y + z - \frac{-5}{y} + \exp\left(x - 3\right),$$ Given that x = 1.0, y = 2.0, z = -2.0 Correct Answer 2.64 2. Find h to 3 significant figures in the following equation: $$ h = \frac{xy + 2z}{2 + y - \ln\left(x\right)},$$ Given that x = 5.0, y = -4.0, z = -1.0 Correct Answer 6.10

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$2{x}^{2} + -2x = 3$$ Correct Answer $$\frac{2 + \sqrt{28}}{4}$$ and $$\frac{2 - \sqrt{28}}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(-2e + -4Y\right) $$ Correct Answer $$ -10e - 20Y $$ 2. Expand the brackets to simplify the following:$$ 6\left(-6a + 3y\right) $$ Correct Answer $$ -36a + 18y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(4i + -2A\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 16iA + 4{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3x + -2f\right)}^{2} $$ Correct Answer $$ 9{x}^{2} - 12xf + 4{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-x) + -6Q + 6u + 3Q $$ Correct Answer $$ (-x) + -3Q + 6u $$ 2. Collect like terms to simplify the following:$$ 5R + 6f + 1z + (-f) $$ Correct Answer $$ 5R + 5f + z $$