the study of numbers and the relationships between them.
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Literal Equation
Front
An equation involving two or more variables
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Dimensional Analysis
Front
changing from one unit to another via conversion factors
aka unit analysis
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Scale
Front
Specify a percentage of original size to enlarge or reduce the size of an object.
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Rate
Front
A ratio that compares two quantities measured in different units
a price of $9.99 for 10 songs is a rate
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Addition Property of Equality
Front
if you add the same number to each side of an equation, the two sides remain equal
For any real number a, b, and c, if a = b, then a + c = b + c.
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Solve an Equation
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to find the value of the variable that makes the equation true
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Multi-step Equations
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Equations that need more than one step to solve
3x-7=2
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Multiplication Property of Equality
Front
Multiplying the same number to each side of the equation produce an equivalent equation
For any real number a, b, and c, if a=b, then ca=cb
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Equivalent Equations
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equations that have the same solution
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Proportion
Front
An equation stating that two ratios are equal
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Formula
Front
a rule for the relationship between certain quantities.
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Scale Model
Front
A model of an object in which the dimensions are in proportion to the actual dimensions of the object.
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Weighted Averages
Front
multiplying each data value by its weight and then finding the mean of the new set of data
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Extremes
Front
In a proportion, the numerator of the first fraction and the denominator of the second fraction
in a/b=c/d a and d are extremes
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Unit Rate
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a ratio that compares a quantity to one unit of a different quantity
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Ratio
Front
a comparison of two numbers by division
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Identity
Front
an equation that is true for all values; infinity many solutions
3(2b-1)-7=6b-10
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Subtraction Property of Equality
Front
if you subtract the same number from each side of an equation, the two sides remain equal
For any real number a, b, and c, if a = b, then a - c = b - c
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Consecutive Integers
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integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.
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Percent of Change
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The ratio of the amount of change to the original amount expressed as a percent
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Percent of Increase
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the percent of change when the new amount is greater than the original
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Percent of Decrease
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Percent of change where the new number is less than the original number
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Means
Front
in a proportion they are the middle terms
in a/b=c/d b and c are means
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Division Property of Equality
Front
Dividing the same number to each side of the equation produce an equivalent equation
For any real number a, b, and c, If a=b and c≠0 then a/c = b/c.