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Algebra Basics: Introductory Worksheet
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Algebra Basics: Introductory Worksheet
Read each question carefully. Use the answer space to show your thinking where needed.
Algebra vocabulary
Match each term to its meaning. Use each definition once.
1.Match each algebra term with the correct definition.
- Variable
- Constant
- Expression
- Term
- A single number, variable, or product of numbers and variables
- Numbers, variables and operations written together, without an equals sign
- A number that can change or stand for an unknown value
- A number whose value stays fixed
Spot variables and constants
Identify the letters and fixed numbers in each expression.
2.In 9 + m, name the variable and the constant.
3.In 6p − 4, name the variable and the constant.
4.In 2a + c + 11, list every variable and the constant.
5.In 8 − 3r, which part is the variable, and which number is the constant term?
6.Which group contains only variables?
- b, x, t
- 4, x, 9
- m, 3, n
- 7, 12, 15
7.Which group contains only constants?
- k, 2, 6
- 5, 13, 20
- a, d, 8
- y, z, w
Use algebra ideas
Apply what you know about variables and constants to these examples.
8.A bus has 12 passengers. Then some more passengers get on. Write an expression for the total number of passengers if n more people board.
9.In the expression 7 + q, is 7 a variable or a constant? Explain briefly.
10.A packet contains c cards. Write an expression for the number of cards in 4 identical packets.
11.Choose the expression with one variable and one constant: 3 + x, 4y + z, or 2a + 5b.
- 3 + x
- 4y + z
- 2a + 5b
12.Write an expression with one variable and one constant that represents a number of dollars, d, plus a $6 fee. State what the variable represents.
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