5.1 Algebraic Expressions

Translate the following algebraic expressions from algebra into words.

1. $12 + 14$
2. $\left(30\right) \left(5\right)$
3. $64 \div 8$
4. $x - y$

Translate the following phrases from words into algebraic expressions.

1. The difference of 47 and 19
2. 72 divided by 9
3. The sum of $m$ and $n$
4. 13 times 7

Translate the following phrases from words into algebraic expressions.

1. Seven more than a number $n$.
2. A number $n$ times itself.
3. Six times a number $n$, plus two more.
4. The cost of postage is a flat rate of 10 cents for every parcel, plus 34 cents per ounce $x$.

Translate the following sentences from words into algebraic equations.

1. Two times $x$ is 6.
2. $n$ plus 2 is equal to $n$ times 3.
3. The quotient of 35 and 7 is 5.
4. Sixty-seven minus $x$ is 56.

Use parentheses to make the following statements true.

1. $17 - 10 + 3 = 10$
2. $2 \cdot 26 - 7 = 38$
3. $8 + 12 \div 5 - 3 = 14$
4. $5 + 2^{3} \cdot 7 = 91$

1. Evaluate $3 x + 5$ when $x = 2$.
2. Evaluate $x^{2} + 3 x + 1$ when $x = 2$.

Add $\left(x^{2} + 4 x - 9\right) + \left(3 x^{2} - x + 12\right)$.

Subtract $\left(5 x^{2} + 4 x - 9\right) - \left(3 x^{2} - x + 12\right)$.

Simplify each expression.

1. $\left(x - 3\right) 5$
2. $\left(- 3\right) \left(x + y - 2\right)$
3. $5^{2} \left(7 + 3\right) \left(x\right)$
4. $4 + x \cdot 5$
5. $\left(4 + x\right) \cdot 5$

Multiply $\left(4 x - 9\right) \left(x + 2\right)$.

Divide $\left(8 x^{2} + 4 x - 16\right) \div \left(4 x\right)$.