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Grade 12 Algebra: Variable Identification Worksheet

Identify and classify variables in various algebraic expressions and real-world scenarios at a Grade 12 level.

Grade 12 Math AlgebraVariable Identification
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Includes

Fill in the BlanksMultiple ChoiceTrue / FalseShort AnswerMatching

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSA.CED.A.2

Topics

AlgebraVariablesGrade 12Mathematics
7 sections · Free to use · Printable
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Grade 12 Algebra: Variable Identification

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Read each question carefully and follow the instructions to identify and classify variables.

Identify the variables in each of the following algebraic expressions. Write them in the blanks provided.

1. 3x² + 5y - 7z:  

2. ab + c/d - 4:  

3. √(p + q) - r³:  

For each scenario, identify the independent variable.

1. The amount of fertilizer used (f) and the height of the plant (h).

a

h

b

f

c

both h and f

d

neither

2. The number of hours studied (h) and the exam score (s).

a

h

b

s

c

both h and s

d

neither

Determine if the statement describes a constant or a variable. Mark True (T) if it's a variable, False (F) if it's a constant.

1. The speed of light in a vacuum.

T

True

F

False

2. The number of days in a given month.

T

True

F

False

For the following problem, define the variables you would use to represent the unknown quantities.

1. A car travels at a certain speed for a certain amount of time, covering a specific distance. Write an equation relating these quantities and define your variables.

Match each description with the correct type of variable.

1. Can take any value within a given range.

 

a. Discrete Variable

2. Can only take specific, distinct values.

 

b. Continuous Variable

3. A value that is assumed to be fixed.

 

c. Constant