Writing and Solving Equations Geometry

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What is the formula for the perimeter of a rectangle?

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The perimeter (P) of a rectangle is given by the formula: P = 2(length + width).

Tags

CCSS.3.MD.D.8

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What is the formula for the perimeter of a square?

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The perimeter (P) of a square is given by the formula: P = 4 × side length.

Tags

CCSS.4.MD.A.3

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If two shapes have the same perimeter, what can we say about their dimensions?

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If two shapes have the same perimeter, the sum of their corresponding side lengths is equal.

Tags

CCSS.3.MD.D.8

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What does it mean to solve for x in an equation?

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To solve for x means to find the value of x that makes the equation true.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions.

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CCSS.6.EE.A.2C

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How do you isolate a variable in an equation?

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To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

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CCSS.7.EE.B.4A

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Back

The first step is to move all terms involving x to one side and constant terms to the other side.

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The solution is x = -3.

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Back

The perimeter is P = 4(2x + 5) = 8x + 20.

Tags

CCSS.7.EE.A.1

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Back

The perimeter is P = 2((x + 5) + (2x + 7)) = 2(3x + 12) = 6x + 24.

Tags

CCSS.7.EE.A.1