iCoachMath.com: Examples on Using Formulas to Solve Equations - Equations & Inequalities - (AL)
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Solved Examples

Curriculum: Alabama Course of Study   Click to change Curriculum

Topic: Equations & Inequalities  Click to change Topic

Lesson: 6: Using Formulas to Solve Equations  Click to change Lesson

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D   The average of 43 non-negative integers is 32.4. Find their sum.
   D
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D   The perimeter of a rectangular wallpaper is 38 inches and its width is 8 inches. Find the length of the rectangular sheet of wallpaper.
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D   A car travels at an average speed of 58 miles/hour for 300 minutes. Find the distance traveled by the car.   D View Solution
D   An airplane flew 1975 miles at an average speed of 395 miles/hour. How long does it take to fly the entire distance?   D View Solution
D   Brad left his house at 5:00 p.m. and drove directly to his aunt's house, which is 365 miles away. What was the average speed with which he drove, if he reached his aunt's house at 10:00 p.m.?   D View Solution
D   Find the celsius temperature that corresponds to a room temperature of 77oF by using the formula F = ( 95 ) C + 32.   D View Solution
D   Convert 15oC into Fahrenheit scale by using the formula, F = ( 95 ) C + 32.   D View Solution
D   The formula S = [n(n+1)]2 is used to find the sum of the first n natural numbers. Find the sum of the first 14 natural numbers.
   D
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f   The formula S = n(n+1)(2n+1)6 is used to find the sum of the squares of the first n natural numbers. Find the sum of the squares of the first 6 natural numbers.   f View Solution
f   The formula S = n2(n+1)2/4 is used to find the sum of the cubes of the first n natural numbers. Find the sum of the cubes of the first 12 natural numbers.
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f   Find the area of a rectangle, if its length is 4 cm and its width is 3 cm.   f View Solution
f   Find the area of a square, if side of the square is 0.3 cm.
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f   Find the perimeter of a square having side of length 2.5 cm.
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f   A bus travels at an average speed of 59 miles/hour for 300 minutes. Find the distance traveled by the bus.
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f   The L.C.M. and H.C.F. of two numbers are 80 and 4 respectively. If one of the numbers is 16, then find the other number.   f View Solution
f   The perimeter of a rectangular wallpaper is 50 inches and its width is 11 inches. Find the length of the rectangular sheet of wallpaper.
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f   A car travels at an average speed of 57 miles/hour for 240 minutes. Find the distance traveled by the car.   f View Solution
f   The formula for the volume of a rectangular pyramid is V = (13) lwh. Write a formula to find the height (h) of the pyramid.
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f   An airplane flew 1182 miles at an average speed of 394 miles/hour. How long does it take to fly the entire distance?   f View Solution
f   The L.C.M. and H.C.F. of two numbers are 150 and 5 respectively. If one of the numbers is 25, then find the other number.   f View Solution
f   Brian left his house at 5:00 p.m. and drove directly to his aunt's house, which is 146 miles away. What was the average speed with which he drove, if he reached his aunt's house at 7:00 p.m.?   f View Solution
f   The average of 22 non-negative integers is 23.2. Find their sum.
   f
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f   Find the area of the figure.   f View Solution
f   The formula F = (95) × C + 32 is used to convert temperature in Celsius (C) scale to that in Fahrenheit (F) scale. Which of the following best suits the conversion of temperature from Fahrenheit scale to Celsius scale?
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f   Find the perimeter of the figure.
   f
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f   Find the celsius temperature that corresponds to a room temperature of 68oF by using the formula F = ( 95 ) C + 32.   f View Solution
f   Find the area of a rectangle, if its length is 7 cm and its width is 4 cm.   f View Solution
f   Convert 10oC into Fahrenheit scale by using the formula, F = ( 95 ) C + 32.   f View Solution
f   The formula S = [n(n+1)]2 is used to find the sum of the first n natural numbers. Find the sum of the first 8 natural numbers.
   f
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f   The formula S = n(n+1)(2n+1)6 is used to find the sum of the squares of the first n natural numbers. Find the sum of the squares of the first 12 natural numbers.   f View Solution
f   Find the area of a square, if side of the square is 0.2 cm.
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f   Find the area of a trapezoid, if b1 = 7 in., b2 = 10 in. and h = 4 in.
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f   Total surface area of a cube is given by the formula, L = 6s2, where s is the side of the cube. Find the side of the cube, if the total surface area of the cube is known.
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f   Find the base of a triangle, if area of the triangle A and height h are known.
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f   Find the area of the square.   f View Solution
f   Find the perimeter of a square having side of length 3.5 cm.
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f   A truck travels at an average speed of 57 miles/hour for 240 minutes. Find the distance traveled by the truck.
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f   The formula S = n2(n+1)2/4 is used to find the sum of the cubes of the first n natural numbers. Find the sum of the cubes of the first 4 natural numbers.
   f
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f   The table shows the perimeter and side lengths of three equilateral triangles.
Perimeter of the triangle (P cm) Length of side 1 (cm)Length of side 2 (cm) Length of side 3 (cm)
9333
12444
15555
?sss

Which formula shows the relationship between the lengths of the sides and the perimeter of the triangle?
   f
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f   Find the area of a trapezoid, if b1 = 7 in., b2 = 9 in. and h = 4 in.
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