Properties learned in Algebra 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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Addition Property of Equality | For every real number a, b, and c, if a = b, then a + c = b + c.
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Subtraction Property of Equality | For every real number a, b, and c, if a = b, then a - c = b - c.
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Multiplication Property of Equality | For every real number a, b, and c, if a = b, then a * c = b * c.
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Division Property of Equality | For every real number a, b, and c, where c is nonzero, if a = b, then a/c = b/c.
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Identity Property of Addition | For every real number a, a + 0 = a.
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Inverse Property of Addition | For every real number a, there is an additive inverse -a such that a + (-a) = 0.
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Identity Property of Multiplication | For every real number a, a * 1 = a.
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Inverse Property of Multiplication | For every nonzero real number a, there is a multiplicative inverse 1/a such that a(1/a) = 1.
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Distributive Property | For every real number a, b, and c,
a(b + c) = ab + ac
a(b - c) = ab - ac
(b + c)a = ba + ca
(b - c)a = ba - ca
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Multiplication Property of Zero | For every real number n, n * 0 = 0.
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Multiplication Property of -1 | For every real number n, -1 * n = -n
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Commutative Property of Addition | For every real number a and b,
a + b = b + a
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Commutative Property of Multiplication | For every real number a and b,
a * b = b * a
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Associative Property of Addition | For every real number a, b, and c,
(a + b) + c = a + (b + c)
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Associative Property of Multiplication | For every real number a, b, and c,
(a * b) * c = a * (b * c)
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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:
BNSAlgebra
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