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Unit 2 Expressions and Equations
Combine like terms
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Standards: MCC7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. MCC7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
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Essential Questions How can we represent values using variables?
What is the difference in an expression and an equation? How do I simplify expressions?
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Like Terms: terms that have the same variable raised to the same power
Like Terms: terms that have the same variable raised to the same power. Only the coefficients of like terms can be different. X Y a³ Vocabulary Variable: A symbol, usually a letter, which is used to represent one or more numbers. Coefficient: The number part of a term that includes a variable. For example, 3 is the coefficient of the term 3x. Constant: A quantity having a fixed value that does not change or vary, such as a number. For example, 5 is the constant of x + 5.
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Vocabulary Numerical expression: An expression consisting of numbers and operations 12 – 4 Term: A number, a variable, or a product and a number and variable. n s p Inequality: A mathematical sentence formed by placing inequality symbol between two expressions < > ≤ ≥ Equation: A mathematical sentence formed by setting two expressions equal. 3 + 8 = less than Algebraic expression: An expression consisting of at least one variable and also consist of numbers and operations. N x - 5 ?
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Distributive Property: The sum of two addends multiplied by a number is the sum of the product of each addend and the number.
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1.) If = 1 and = N, how would you find the perimeter of this rectangle?
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1.)Write an expression to find the perimeter. Simplify your answer.
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1.)Write an expression to find the perimeter. Simplify your answer.
4 4 N + 3
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N + 3 4 4 N + 3 P = 2(N + 3) + 2(4) P = 2N + 6 + 8 P = 2N + 14
1.)Write an expression to find the perimeter. Simplify your answer. N + 3 4 4 P = 2(N + 3) + 2(4) P = 2N P = 2N + 14 N + 3
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1.) If = 1 and = N, how would you find the area of this rectangle?
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1.) If = 1 and = N, how would you find the area of this rectangle?
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1.) If = 1 and = N, how would you find the area of this rectangle?
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1.) If = 1 and = N, how would you find the area of this rectangle?
A = L X W A = 3 X 4 A = 12 A = L X W A = N X 4 A = 4N 4 A = 4N + 12
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Write an expression to find the perimeter and area
Write an expression to find the perimeter and area. Simplify your expressions. n + 7 8
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Find the perimeter and area.
9 12 n
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Represent this equation:
x + 3 = 10 Use for x and for 1
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Represent this equation:
x + 3 = 10 Use for x and for 1
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Represent this equation:
x + 3 = 10 Use for x and for 1
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Represent this equation:
x + 3 = 10 Use for x and for 1
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Represent this equation:
2x + 3=11 Use for x and for 1
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Represent this equation:
2x + 3=11 Use for x and for 1
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Represent this equation:
2x + 3=11 Use for x and for 1
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Represent this equation:
2(x + 3) = 11 Use for x and for 1
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Represent this equation:
2(x + 3) = 11 Use for x and for 1 ( )
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Represent this equation:
2(x + 3) = 11 Use for x and for 1 ( )
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Represent this equation:
3(x + 2) = 2(x + 1) Use for x and for 1
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Represent this equation:
3(x + 2) = 2(x + 1) Use for x and for 1
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Represent this equation:
3(x + 1) = 2(x + 2) Use for x and for 1
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