About Variable Definition:
A variable is a letter that is used to represent an unknown quantity. A term is a single number, variable, or the product of a number and one or many variables. Lastly, an algebraic expression is a single term or a number of terms separated by "+" and/or "-" symbols.
Test Objectives
- Demonstrate the ability to evaluate an algebraic expression for given values
- Demonstrate the ability to determine if two or more terms represent "like terms"
- Demonstrate the ability to simplify an algebraic expression by combining like terms
#1:
Instructions: Evaluate each algebraic expression for the given value(s) of the variable(s).
a) -7x - 3 for x = 2
b) -7x - 3 for x = -2
c) -7x - 3 for x = 5
d) 10x2 + 7x - 1 for x = 2
e) 10x2 + 7x - 1 for x = -2
f) 10x2 + 7x - 1 for x = 5
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#2:
Instructions: Evaluate each algebraic expression for the given value(s) of the variable(s).
a) -9x3 - 6y for x = 1, y = 3
b) -9x3 - 6y for x = 2, y = -5
c) 2z2 - 5x - y for x = 3, z = 2, y = 7
d) 2z2 - 5x - y for x = -1, z = 5, y = -4
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#3:
Instructions: Determine if each are like terms.
a) 4x, -13x
b) 12yz, 7xz
c) 9ab, -4ba
d) -3y2x, 15xy2
e) 10z2x4a3, -5a2x4z3
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#4:
Instructions: Simplify.
a) 3(t - 4) + 7(x + 4)
b) 6(z - 6) + 3(z - 7) + 5
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#5:
Instructions: Simplify.
a) 3(2y - 9) + 7(z2 - y)
b) -2(-3x + 4) - (5x - 7) - 10
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Written Solutions:
#1:
Solutions:
a) -17
b) 11
c) -38
d) 53
e) 25
f) 284
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#2:
Solutions:
a) -27
b) -42
c) -14
d) 59
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#3:
Solutions:
a) like terms
b) not like terms
c) like terms
d) like terms
e) not like terms
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#4:
Solutions:
a) 3t + 7x + 16
b) 9z - 52
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#5:
Solutions:
a) 7z2 - y - 27
b) x - 11
