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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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TermsTerms
Algebraic Expression-Algebraic Expression- A A mathematical phrase involving at mathematical phrase involving at least one variable. Also can contain least one variable. Also can contain numbers and operation symbols.numbers and operation symbols.
Coefficient-Coefficient- The number multiplied The number multiplied by the variable.by the variable.
Constant-Constant- The number that does not The number that does not change or lose its value in an change or lose its value in an expression.expression.
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EXAMPLE OF TERMSEXAMPLE OF TERMS
30n+6 30n+6 algebraic algebraic expressionexpression
30 is the 30 is the coefficientcoefficientn is the n is the variablevariable6 is the 6 is the constantconstant
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Problem #1
Given the formula P = k2 w,
find P if k = 5 and w = -3.
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Problem #2
If V = lwh, what is the value of V when l = 2, w = 3, and h = 4x?
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Problem 3
If x = 1 and y = -2,which expression has avalue of 3?1. x = y 2. x - y3. xy 4. 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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Problem #5
Use the formula V = x 2h, to find V when x = 6 and h = 2.
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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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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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Problem #12
Evaluate the expression
3x2 + y
if x = 1 and y = -3.
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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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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.