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16 Cards in this Set
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My mom bought 5 packs of markers, with 4 markers in each package. She spent $15. Write an equation to find the cost per marker, then calculate the cost per marker.
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let t= total cost, m= number of markers per package, c= cost per marker and p= number of packages bought.
c=t/mp c=($15)/(4)(5) c= $15/20 c=$0.75 |
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A friend told you she paid $16,368 total for her car, including taxes. In order to compare with other dealerships, you want to know the car's list price (price before taxes). Write an equation to find the list price of the car, then find the price of the car in a state where sales tax is 8.25%.
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let p= list price, r=rate of tax t= total cost
t=p+rp t=p(1+r) t/(1+r)=p $16,368/(1+0.0825)=p $16,368/1.0825=p $15,120.55=p |
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Sara's doctor told her she needs between 400 and 800 milligrams of folate per day, with part coming from her diet and part coming from a multi-vitamin. Each multi-vitamin contains 50 mg of folate, and Sara can only take a maximum of 8 tablets per day. What are the possible combinations of n (number of vitamin tablets taken) and a (amount of dietary folate) which will give Sara the minimum of 400 mg folate each day? Present your answers in a table.
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Sara's doctor told her she needs between 400 and 800 milligrams of folate per day, with part coming from her diet and part coming from a multi-vitamin. Each multi-vitamin contains 50 mg of folate, and Sara can only take a maximum of 8 tablets per day. What are the possible combinations of n (number of vitamin tablets taken) and a (amount of dietary folate) which will give Sara the maximum of 800 mg folate each day? Present your answers in a table.
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Using the tables showing the combinations for minimum and maximum folate intake, express your answers as a system of three inequalities and create a graph of a vs. n.
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50n+a ≥400
50n+a≤800 0≤n≤8 |
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If chicken costs $1.29/lb and steak costs $3.49/lb, and you have $100 to spend on a BBQ, write a constraint equation showing the relationship between quantity of chicken and quantity of steak.
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let c= number of lbs of chicken bought, s= number of lbs of steak bought
1.29c+3.49s=100 |
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Use your constraint equation (1.29c+3.49s=100) to find two solutions. (chicken costs $1.29/lb and steak costs $3.49/lb, and you have $100 to spend on a BBQ)
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Solution 1: 10 lbs of chicken
1.29(10)+3.49s=100 12.9+3.49s=100 3.49s=87.1 s=24.96 approx 25, so, 10 lbs chicken, 25 lbs steak. Solution 2: 25 lbs of chicken 1.29(25)+3.49s=100 32.25+3.49s=100 3.49s=67.75 s=19.4lb, so 25 lbs chicken, 19.4 lb steak |
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Graph your constraint equation (1.29c+3.49s=100) and mark the solutions you found on the graph. (chicken costs $1.29/lb and steak costs $3.49/lb and you have $100 to spend on a BBQ)
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Of the two solutions you marked on the graph, which is more reasonable if most of the people at the party like steak?
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10lb of chicken and 25lb of steak is more reasonable.
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Ohm's law (V=IR) is used to find voltage. Rearrange this formula to show how to solve for Resistance (R).
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V=IR
V/I=R |
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Solve the equation ax+c=R for a.
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ax+c=R
ax=R-c a=R-c/x |
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Solve the equation 2h=w-3p for p.
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2h=w-3p
2h-w=-3p (2h-w)/-3=p |
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Solve the equaiton F=Gmx/r² for G.
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F=Gmx/r²
Fr²=Gmx Fr²/mx=G |
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Rearrange the distance formula (d=rt) to solve for time.
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d=rt
d/r=t |
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Rearrange the linear equation to solve for x.
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y=mx+b
y-b=mx y-b/m=x |
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Rearrange the quadratic equation to solve for a.
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y=ax2+bx+c
y-c=ax²+bx y-c-bx=ax² (y-c-bx)/x²=a |
