Exercises: Introduction To the Language of Algebra (1.2)
Exercises: Use Variables and Algebraic Symbols
Instructions: For questions 1-14, translate from algebra to English.
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Solution
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Solution
fourteen is less than twenty-one
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Solution
thirty-six is greater than or equal to nineteen
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Solution
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Solution
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Exercises: Expression or Equation
Instructions: For questions 15-20, determine if each is an expression or an equation.
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Solution
equation
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Solution
expression
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Solution
expression
20.
Exercises: Simplify Expressions Using the Order of Operations
Instructions: For questions 21-24, simplify each expression.
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Solution
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Solution
24.
Exercises: Simplify Using Order of Operations
Instructions: For questions 25-46, simplify using the order of operations.
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Solution
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Exercises: Evaluate an Expression
Instructions: For questions 47-60, evaluate the expressions.
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Exercises: Simplify Expressions by Combining Like Terms
Instructions: For questions 61-64, identify the coefficient of each term.
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64.
Exercises: Identify Like Terms
Instructions: For questions 65-68, identify the like terms.
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Exercises: Identify Terms in an Expression
Instructions: For questions 69-72, identify the terms in each expression.
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Exercises: Simplify by Combining Like Terms
Instructions: For questions 73-82, simplify the expressions by combining like terms.
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Exercises: Translate an English Phrase to an Algebraic Expression
Instructions: For questions 83-94, translate the phrases into algebraic expressions.
83. the difference of
Solution
84. the difference of
85. the product of
Solution
86. the product of
87. the quotient of
Solution
88. the quotient of
89. the sum of
Solution
90. the sum of
91. the quotient of
Solution
92. the quotient of
93. eight times the difference of
Solution
94. seven times the difference of
Exercises: Word Problems
Instructions: For questions 95-98, write an expression for the given word problems.
95. Eric has rock and classical CDs in his car. The number of rock CDs is 3 more than the number of classical CDs. Let
Solution
96. The number of girls in a second-grade class is 4 less than the number of boys. Let
97. Greg has nickels and pennies in his pocket. The number of pennies is seven less than twice the number of nickels. Let
Solution
98. Jeannette has
Exercises: Everyday Math
Instructions: For questions 99-100, answer the given everyday math word problems.
99. Car insurance. Justin’s car insurance has a
a. how much will he pay?
b. how much will his insurance company pay?
Solution
a.
b.
100. Home insurance. Armando’s home insurance has a
a. how much will he pay?
b. how much will the insurance company pay?
Exercises: Writing Exercises
Instructions: For questions 101-104, answer the given writing exercises.
101. Explain the difference between an expression and an equation.
Solution
Answers may vary
102. Why is it important to use the order of operations to simplify an expression?
103. Explain how you identify the like terms in the expression
Solution
Answers may vary
104. Explain the difference between the phrases “4 times the sum of