Tools of Algebra
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| What is a number's additive inverse? | Its opposite
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| What is an algebraic expression? | mathematical phrase that can include numbers, variables, and operation symbols. Also called variable expressions.
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| What is an equation? | a mathematical sentence that uses an equal sign
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| What is an open sentence? | an equation that contains one or more variables
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| How do you simplify a numerical expression? | you replace it with its simplest name
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| What is an exponent? | tells how many times a number is used as a factor.
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| What is a base? | The number being used as a factor in a power.
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| What is a power? | has two parts, a base and an exponent
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| How do you evaluate an algebraic expression | you substitute a given number for each variable/ Then simplify the numerical expression using the order of operations.
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| What is a natural number? | a number above 0 that does not have a decimal or fraction
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| What is a whole number? | a positive number (that includes 0) that does not have a decimal or a fraction.
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| What is an integer? | Any number, positive or negative, that does not have a fraction or decimal.
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| What is a rational number? | A number whose decimal, if any, terminates or repeats.
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| What is an irrational number? | A number whose decimal does not terminate or repeat.
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| What is a real number? | Any number known to mankind
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| What is a counterexample? | Any example that proves a statement is false
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| What is an inequality? | mathematical sentence that compares the value of two expressions using an inequality symbol.
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| What is a matrix? | rectangular arrangement of numbers in rows and columns.
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| What is an element? | Each item in a matrix
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| What is a term? | a number, a variable, or the product of a number and one or more variables
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| What is a coefficient? | numerical factor of a term
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| What are like terms | they have the same variable factors
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| What is a scatter plot? | graph that relates two sets of data
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| What is the commutative property of Addition? | a+b=b+a
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| What is the commutative property of Multiplication? | a*b=b*a
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| What is the associative property of addition? | d+(e+f)=(d+e)+f
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| What is the associative property of multiplication? | f*(g*h)=(f*g)*h
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| What is the identity property of addition? | a+0=a
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| What is the identity property of multiplication? | a*1=a
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| What is the Inverse Property of Addition? | a+(-a)=0
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| What is the inverse property of multiplication? | a * 1/a = 1
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| What is the Reflexive Property of Equality | a number equals itself a=a
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| What is the Symmetric Property of Equality? | If a=b, then b=a
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| What is the Transitive Property of Equality? | If a=b and b=c, then a=c
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| What is the distributive property? | a(b+c)= ab+ac
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| What is the Multiplication property of Zero? | For every real number n*0=0
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| Multiplication property of -1 | For every real number -1*n=(-n)
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
bookwormabbi
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