**New Hampshire College and Career Ready Education Standards**. What are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read More...

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NH.CC.EE.6. Expressions and Equations

Apply and extend previous understandings of arithmetic to algebraic expressions.

EE.6.2. Write, read, and evaluate expressions in which letters stand for numbers.

EE.6.2(c) 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.

EE.6.3. Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Reason about and solve one-variable equations and inequalities.

EE.6.5. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

EE.6.7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

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