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Equations Word prob
Coin & CI Formula& Function
Rate, Ratio& %
500
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100
2002 ft
These 2 triangles are similar. Write and solve an equation to
find the length of the side
called x
300X = -22.29
Solve for x. Round your answer to the nearest
hundredth.
2(.78 + .04x) = .01x
Solve for v:
-(11 – 2v) = 5(v + 8)
400v = -17
Solve for y:
500v = 1/2
A local computer center charges non members $5 per session to use the media center. If you pay a membership fee of $25, you pay only $3 per session. Write an equation that can help you decide whether to become a member. Then solve the equation.3x + 25 = 5x; 12.5 sessions 100
If one side of a square is represented by 2x + 4. If the perimeter of the square is 56 in, find x.
5 200
The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is 6 more than three times the first number. Find the three numbers.
21, 33, 69 300
3 pm400
Two trains are 515 miles apart. At 10 AM they start traveling toward each other at average rates of 48 and 55 mph. At what time will they pass each other?
Mr. Fields spent 6 hours on a trip out into the country and back. He walked out at a rate of 4 mph and walked back at a rate of 2 mph. How far out into the country did he go?
8 miles
500
Mr. Boyce deposited $170 in his bank. The number of $5 bills was three times the
number of $10 bills, and the number of $1 bills was thirty more than
the number of $5 bills. How many bills of each type did he deposit?
5, 15, 45 100
200
A purse contains $4.70 in nickels and
quarters. There are 30 coins in all. How many of each kind are there?
16 quarters and 14 nickels
Find three consecutive even integers whose sum is -18
-4, -6, -8 300
the greater of two consecutive even integers is six less than twice the smaller find both
8, 10 400
Jane has $2.80 in quarters and dimes. The number of dimes is 7 less than the number of quarters. Find the number of each. Use algebra!
500Quarters:10 , dimes 3
Solve the formula
S = B + ½ Pl
for l.
l = (2S – 2B)/P 100
Rewrite the equation
4x – 3(y – 2) = 15 + y
So that y is a function of x.
y = x – 9/4 200
Solve the Formula for Area of a trapezoid
A = ½ h(b1 + b2)
for h.
h = 2A/(b1 + b2) 300
Rewrite the equation
5y – 2(x – 7) = 20
So that x is a function of y.
x = 5/2 y - 3 400
Solve for p:
p + dp = c
p = c / (1 + d) 500
The price of gas is currently $3.59/gal. If price of gas was $3.90 last year, find the percent decrease to the nearest 10th of a percent.
7.9% decrease 100
51 200
30051
A salesperson made $900 last week in commission. If they receive a 2.5% commission rate, how much did they sell last week?
$36,000
400
Joe paid $36 for a pair of jeans that were on sale for 40% off the original price. What was the original cost of the jeans?
$60
500