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Algebraic Notation | Say |
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is equal to | |
is not equal to | |
is less than | |
is greater than | |
is less than or equal to | |
is greater than or equal to |
Order of Operations When simplifying mathematical expressions perform the operations in the following order:
Use Variables and Algebraic Symbols
In the following exercises, translate from algebraic notation to words.
3 times n equals 24, the product of three and n equals twenty-four
y minus 1 is greater than 6, the difference of y and one is greater than six
2 is less than or equal to 18 divided by 6; 2 is less than or equal to the quotient of eighteen and six
a is not equal to 7 times 4, a is not equal to the product of seven and four
Identify Expressions and Equations
In the following exercises, determine if each is an expression or an equation.
Simplify Expressions with Exponents
In the following exercises, write in exponential form.
In the following exercises, write in expanded form.
Simplify Expressions Using the Order of Operations
In the following exercises, simplify.
Basketball In the 2014 NBA playoffs, the San Antonio Spurs beat the Miami Heat. The table below shows the heights of the starters on each team. Use this table to fill in the appropriate symbol
Spurs | Height | Heat | Height | |
---|---|---|---|---|
Tim Duncan | Rashard Lewis | |||
Boris Diaw | LeBron James | |||
Kawhi Leonard | Chris Bosh | |||
Tony Parker | Dwyane Wade | |||
Danny Green | Ray Allen |
Elevation In Colorado there are more than mountains with an elevation of over The table shows the ten tallest. Use this table to fill in the appropriate inequality symbol.
Mountain | Elevation |
---|---|
Mt. Elbert | |
Mt. Massive | |
Mt. Harvard | |
Blanca Peak | |
La Plata Peak | |
Uncompahgre Peak | |
Crestone Peak | |
Mt. Lincoln | |
Grays Peak | |
Mt. Antero |
Explain the difference between an expression and an equation.
Why is it important to use the order of operations to simplify an expression?
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ If most of your checks were:
…confidently. Congratulations! You have achieved the objectives in this section. Reflect on the study skills you used so that you can continue to use them. What did you do to become confident of your ability to do these things? Be specific.
…with some help. This must be addressed quickly because topics you do not master become potholes in your road to success. In math, every topic builds upon previous work. It is important to make sure you have a strong foundation before you move on. Who can you ask for help? Your fellow classmates and instructor are good resources. Is there a place on campus where math tutors are available? Can your study skills be improved?
…no—I don’t get it! This is a warning sign and you must not ignore it. You should get help right away or you will quickly be overwhelmed. See your instructor as soon as you can to discuss your situation. Together you can come up with a plan to get you the help you need.
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