Solve Proportions Using Cross Product Property
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- (Video) How to Solve Proportions Using Cross Products by eHow This quick video by eHow shows you how to cross multiply. Cross multiplication is done when you have two fractions …
By Alex Federspiel, Christine, Amy Feraco, Jonathan Heller, Anusha Rahman
- (Video) Proportions by Math Antics Here's a video by mathantics that explains proportions. Summary\large{\text{Summary}}Summary A proportion is two ratios that are equivalent. F…
By Alex Federspiel, Christine, Amy Feraco, Eunji Kwon, Jonathan Heller, Anusha Rahman
- Cross Product Property The cross product property is also called cross multiplication. It's an approach often used to solve equations involving ratios. It's very helpful in conv…
By Hannah Bonville, Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
- The Cross Product Property The Cross Product Property is one of the approaches to solving proportions. Let's look at what we can do with this property. This setup is especially …
By Anusha Rahman
Problems 32
- Solve for xxx. 38 =x7\frac{3}{8}\ =\frac{x}{7}83 =7x
- Solve for xxx. 45 =3x9\frac{4}{5}\ =\frac{3x}{9}54 =93x
- Solve for xxx. 106 =8x5\frac{10}{6}\ =\frac{8x}{5}610 =58x
- Solve for xxx. 48 =2x9\frac{4}{8}\ =\frac{2x}{9}84 =92x
- Solve for xxx. 102 =6x8\frac{10}{2}\ =\frac{6x}{8}210 =86x
- Solve for xxx. 210 =10x8\frac{2}{10}\ =\frac{10x}{8}102 =810x
- Solve for xxx. 25 =3x10\frac{2}{5}\ =\frac{3x}{10}52 =103x
- If 3x=105\frac{3}{x}=\frac{10}{5}x3=510, then how can we solve for xxx?
- The ratio of dogs to cats in the vet's office is 3 dogs:7 cats.3\text{ dogs} : 7 \text{ cats}.3 dogs:7 cats. There are 212121 dogs, how many cats are there?
- If ab=cd\frac{a}{b}=\frac{c}{d}ba=dc (and a,b,c,d≠0a,b,c,d \neq 0a,b,c,d=0), which of the following is also true?
- Calculate nnn using the cross product property: 6n+43=54\frac{6n+4}{3}=\frac{5}{4}36n+4=45
- Calculate xxx using the cross product property: −516=3x−24\frac{-5}{16}=\frac{3x-2}{4}16−5=43x−2
- Jacob is selling wrapping paper for 666 dollars per roll. To win a weekend trip to Yellowstone National Park, he needs to sell 612612612 dollars of wrapping paper. How many roll…
- If x10=y3\frac{x}{10}=\frac{y}{3}10x=3y, find the ratio of xxx to yyy.
- If 15x11=4y3\frac{15x}{11}=\frac{4y}{3}1115x=34y, find the ratio of xxx to yyy.
- Drew spends 64.80\64.8064.80 for 222 tanks of gas. If he goes through 6.26.26.2 tanks of gas, assuming the unit price doesn't change, how much does he spend?
- A recipe for three dozen biscuits needs 650650650 g of flour. How many whole biscuits can be made with 1,0201,0201,020 g of flour?
- Your teacher gives you two similar triangles. The first has a height of 121212 ft and a base length of 444 ft. The second has a height of 333 ft. What is the second's base length?
- A survey was taken in a town of 3,0253,0253,025 people. Of the 427427427 people surveyed, 400400400 had cell phones. Based on these results, how many people in the whole town di…
- A golf store is having a sale in which one club costs 42.50\42.5042.50. Rich has 450\450450 to spend. How many clubs can he buy?
- What is (2⋅x)=(7⋅10)\left(2\cdot x\right)=\left(7\cdot10\right)(2⋅x)=(7⋅10) equivalent to?
- A scout in a canoe can travel 121212 km/hr in still water. If the scout traveled 303030 km downstream in the same time that it took to travel 151515 km upstream, what was the ra…
- Theoretically, roughly how much time does she need to complete the 555 pages?
- Solve for xxx: ab=xc\begin{array}{rcl} \dfrac{a}{b} &=& \dfrac{x}{c} \\ \end{array}ba=cx
- Solve for xxx: 215=4x\dfrac{2}{15} = \dfrac{4}{x}152=x4
- Solve for xxx: 2x−5=4x+5\dfrac{2}{x-5} = \dfrac{4}{x+5}x−52=x+54
- Solve for xxx: abcx=bcad\dfrac{ab}{cx} = \dfrac{bc}{ad}cxab=adbc aaa, bbb, ccc, and ddd are non-zero constants.
- Solve for yyy: 7x23y=14x21\dfrac{7x^2}{3y} = \dfrac{14x}{21}3y7x2=2114x Given: x≠0x \ne 0x=0
- Find xy\frac{x}{y}yx if 36x=42y\frac{36}{x} = \frac{42}{y}x36=y42.
- Consider: ac=bd\dfrac{a}{c} = \dfrac{b}{d}ca=db If you were using the cross product property to solve for one of these variables, what would the next step look like?
- If 2y=7x2y = 7x2y=7x is true, and x,y≠0x,y\neq0x,y=0, what is also true? Check all that apply.
- If 3y2=103y^2 = 103y2=10 is true, what is also true? Check all that apply.