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Solve the equations below and write the algebraic steps. The first one is done for you. |
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5n - 5 = 15 |
2n + 6 = 18 |
5n + 4 = 24 |

5n - 5 + 5 =
15 + 5 5n = 20
5n ÷ 5 = 20 ÷ 5
n = 4 |
n = 6 |
n = 4 |

2a - 1 = 7 |
4n + 3 = 11 |
8n - 7 = 33 |

a = 4 |
n = 2 |
n = 5 |

10n + 9 = 89 |
5n + 11 = 46 |
6a - 7= 53 |

n = 8 |
n = 7 |
a = 10 |

9b + 15 = 60 |
5d - 6 = 24 |
9n + 12 = 30 |

b = 5 |
d = 6 |
n = 2 |

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The various resources listed below are aligned to the same standard, (6EE02) taken from the CCSM (Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above.

*Write, read, and evaluate expressions in which letters stand for numbers.*

*Write expressions that record operations with numbers and with letters standing for numbers.**For example, express the calculation "Subtract y from 5" as 5 - y.**Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.**For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.**Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).**For example, use the formulas V = s*^{3}and A = 6 s^{2}to find the volume and surface area of a cube with sides of length s = 1/2.

- Solving Simple Equations #1 e.g. 5n = 40 (Note: Just 2x, 5x, & 10x facts required)
- Writing equations (1 of 2) e.g. t + 3 = x
- Writing equations (2 of 2) e.g. m/5 - 1 = x

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

*Apply and extend previous understandings of arithmetic to algebraic expressions*

- Decimal worksheets, charts & tables (From Examples/ Guidance)
- Writing & Identifying Bases & Exponents (From Worksheets)
- Evaluating, Comparing, & Writing Power (From Worksheets)
- Simplifying Expressions (1 of 2) e.g. 3a + 4a - 3 = 7a - 3 (From Worksheets)
- Simplifying Expressions (2 of 2) e.g. 3xy + 6xy + 3yz - 2yz - xy = 8xy + yz (From Worksheets)
- Factoring/ Expanding Expressions e.g. 8n + 4m > 4(2n + m) (From Worksheets)