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
Variable Definition Practice Test:

#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


#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


#3:

Instructions: Determine if each are like terms.

a) 4x, -13x

b) 12yz, 7xz

c) 9ab, -4ba

d) -3y2x, 15xy2

e) 10z2x4a3, -5a2x4z3


#4:

Instructions: Simplify.

a) 3(t - 4) + 7(x + 4)

b) 6(z - 6) + 3(z - 7) + 5


#5:

Instructions: Simplify.

a) 3(2y - 9) + 7(z2 - y)

b) -2(-3x + 4) - (5x - 7) - 10


Written Solutions:

#1:

Solutions:

a) -17

b) 11

c) -38

d) 53

e) 25

f) 284


#2:

Solutions:

a) -27

b) -42

c) -14

d) 59


#3:

Solutions:

a) like terms

b) not like terms

c) like terms

d) like terms

e) not like terms


#4:

Solutions:

a) 3t + 7x + 16

b) 9z - 52


#5:

Solutions:

a) 7z2 - y - 27

b) x - 11