Algebra Chapter 1
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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| variable | a letter or symbol used to represent a value that can change.
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| coefficient | a number multiplied by a variable.
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| constant | a value that does not change
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| numerical expression | may contain only constants and operations
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| algebraic expression | may contain variables, constants, and operations.
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| power | an expression written with an exponent and a base or the value of such an expression.
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| square root | a number that is multiplied by itself to form a product
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| perfect square | a number whose positive square root is a whole number.
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| natural numbers | counting numbers: 1,2,3,...
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| whole numbers | Natural numbers and zero: 0,1,2,3...
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| integers | whole numbers and their opposites: -3, -2, -1, 0, 1, 2, 3....
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| rational numbers | can be expressed in the forms a/b where a and b are both integers and b is not equal to 0.
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| terminating decimals | rational numbers in decimal form that have a finite number of digits.
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| repeating decimals | rational numbers in decimal form that have a block of one or more digits that repeats continuously.
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| irrational numbers | cannot be expressed in the form a/b. They include square roots of whole numbers that are not perfect squares and nonterminating decimals that do not repeat.
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| additive inverse | A number and its opposite. Their sum is zero.
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| reciprocal | Two numbers whose product is 1.
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| absolute value | The distance of the number from zero on a number line.
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| evaluate | to find the value of an algebraic expression by substituting a number for a variable and simplifying.
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| opposite | The number that is the same distance from zero on the number line; the additive inverse.
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| multiplicative inverse | the reciprocal of a number
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| base | the number in a power that is used as a factor
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| exponent | the number in a power that tells how many times the base is used as a factor
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| order of operations | a process for evaluating expressions, sometimes referred to as PEMDAS
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| term | the part of an expression that is added or subtracted
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| like terms | terms with the same variables raised to the same exponents.
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| commutative property | For addition and multiplication, the order does not matter. For any numbers a and b, a+b = b+a and ab = ba.
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| associative property | For addition and multiplication, the grouping does not matter. For any numbers a, b, and c, (a+b)+c = a+(b+c) and (ab)c = a(bc).
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| distributive property | For all real numbers a, b, and c: a(b+c) = ab + ac
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| real numbers | every point on the number line, either a rational or irrational number
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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.
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.
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:
galbreath01
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