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Chapter 2 Vocab

chapter 2 vocab

QuestionAnswer
addition property of equality adding the same number to each side of an equation produces an equivalent equation. x-3=2 x-3+3=2+3
conversion factor a ratio of two equivalent measures in different units. the ratio 1ft/12 in. is a conversion factor.
cross products in the proportion a/b=c/d the products ad and bc are called cross products. you can use following property of cross products to solve proportions.
cross products property the cross products of a proportion are equal. 3/4=9/12, so 3(12)=4(9), or 36=36
division property of equality dividing each side of an equation by the same nonzero number produces an equivalent equation. 5x=20 5x/5=20/5
equivalent equations equations that have the same solution. 9/3=3 and9/3 +a are equivalent equations
formula an equation that states a relationship among quantities the formula for the volume v of a cylinder is V=3.14^2h, where r is the radius of the cylinder and h is its height the formula for the volume V of a cylinder is V-3.14^2h, where r is the
identity an equation that is true for every value. 5-14x=(1-14/5x)
inverse operations operations that undo one another addition and subtraction are inverse operation.
isolate using properties of equality operations to get a variable with a coefficient of 1 alone on one side of the equation. x+3=7 x+3-3=7-3 x=4
literal equation A literal equation is an equation that involves two or more variables.
multiplication property of equality multiplying each side of an equation by the same nonzero number produces an equivalent equation. x/3=2 x/3.3=2.3
percent error the ratio of the absolute value of the difference of the measured value and an actual value compared to the actual value, expressed as a percent.
percent change the ratio of the amount of change to the original amount expressed as a percent. the price of a sweater was $20. the price increases $2. the percent change is 2/20=10%
percent decrease the percent change found when the original amount decreases the price of a sweater was $22. the price decrease $2. the percent change is 2/22~9%
percent increase the percent change found when the original amount increases.
proportion an equation that states that two ratios are equal 7.5/9=5/6
rate a ratio of a to b where a and b represent quantities measured in different units. 125 miles/ 2hours 0r 62.5 mi/h
ratio a ratio is the comparison of two quantities by division 7:3 5/7
relative error the ratio of the absolute value of the difference of a measured value and an actual value compared to the actual value. |5-5.5|=|-0.5|+0.5=1 5.5 5.5 11
scale the ratio of any length in a scale drawing to the corresponding actual length. the lengths may be in different units. the scale on the road map is 1.5 inches=12 miles
scale drawing an enlarged or reduced drawing similar to an actual object or place. a blue print is a scale drawing of a house or building.
similar figures similar figures are two figures that have the same shape, but not necessarily the same size. similar figures could be a big triangle and a smaller triangle that look just alike.
scale model a three-dimensional model that is similar to a three-dimensional object. a ship in a bottle is a scale model.
Subtraction property of equality subtracting the same number from each side of an equation produces an equivalent equation. x+3=2 x+3-3=2-3
Unit analysis including units for each quantity in calculation to determine the unit of the answer. to change 10ft to yards, multiply by the conversion factor 1yd/3ft. 10ft(1yd/3ft)=3 1/3yd
Unit rate a rate with a denominator of 1. the unit rate for 120 miles driven in 2 hours is 60 mi/h.
Created by: lazyperson