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**ALGEBRAIC EXPRESSIONS**

Step 1 Write the problem. Step 2 Substitute in the values for the unknown (variable). Step 3 Use PEMDAS (remember to go left to right). Show all steps!

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Terms Algebraic Expression- A mathematical phrase involving at least one variable. Also can contain numbers and operation symbols. Coefficient- The number multiplied by the variable. Constant- The number that does not change or lose its value in an expression.

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**30n+6 algebraic expression 30 is the coefficient n is the variable **

EXAMPLE OF TERMS 30n+6 algebraic expression 30 is the coefficient n is the variable 6 is the constant

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Problem #1 Given the formula P = k2 w, find P if k = 5 and w = -3.

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**If V = lwh, what is the value of V when l = 2, w = 3, and h = 4x?**

Problem #2 If V = lwh, what is the value of V when l = 2, w = 3, and h = 4x?

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**If x = 1 and y = -2, which expression has a value of 3? x = y 2. x - y**

Problem 3 If x = 1 and y = -2, which expression has a value of 3? x = y 2. x - y 3. xy y - x

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Problem #4 If a = 1 and b = -2, find the value of (a+b)2.

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**Use the formula V = x 2h, to find V when x = 6 and h = 2.**

Problem #5 Use the formula V = x 2h, to find V when x = 6 and h = 2.

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**Evaluate the expression**

Problem #6 Evaluate the expression (6a)2b if a = 2 and b = -1.

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Problem #7 Find 3a - 4b if a = -2 and b = 1.

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Problem #8 Find the value of (x2 - 5x + 4) if x = 7.

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Problem #9 Evaluate 5a2 - b when a = -2 and b = 3.

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**Find the value of the expression 3x3**

Problem #10 Find the value of the expression 3x3 when x = -2

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Problem #11 What is the value of r2s if r = 5 and s = -2?

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**Evaluate the expression**

Problem #12 Evaluate the expression 3x2 + y if x = 1 and y = -3.

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**Find the value of the expression 2xy3**

Problem #13 Find the value of the expression 2xy3 if x = 3 and y = -2.

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Problem #14 Find the value of 5x2 if x = -3.

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**If x = -3 and y = 2, find the value of (xy)2.**

Problem #15 If x = -3 and y = 2, find the value of (xy)2.

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Problem #16 If x = 3 and y = -2, find the value of 4xy2.

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Problem #17 Find the value of 3(ab)0 if a = 2 and b = -1.

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Problem #18 Evaluate 2x2y if x = 3 and y = -1.

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Problem #19 Find the value of a2 – b if a = 3 and b = -4.

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Problem #20 Find the value of a2b – ab2 if a = 3 and b = -4.

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EXPRESSIONS. Vocabulary A variable is a symbol, usually a letter, used to represent a number. –Example: 4x (x is the variable) A coefficient is the number.

EXPRESSIONS. Vocabulary A variable is a symbol, usually a letter, used to represent a number. –Example: 4x (x is the variable) A coefficient is the number.

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