iCoachMath.com: Examples on Solving Linear Equations - Equations and Inequalities - (AL)
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Solved Examples

Curriculum: Alabama Course of Study   Click to change Curriculum

Topic: Equations and Inequalities  Click to change Topic

Lesson: 7: Solving Linear Equations  Click to change Lesson

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eee Kelsey is 7 times as old as Hanna. 15 years hence, she will be 2 times as old as Hanna. Find their ages. eee View Solution
eee Mike does two part time jobs. He earns $8.75 per hour for the first job and $10 per hour for the second job. He works for 16 hours in a week on the first job. He can work as many hours as he can on the second job. How many hours he has to work on the second job, if he wants to earn $280 per week totally?
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eee John is a marketing person with a basic salary of $44000 per annum. He gets 4% commission on sales. How much he has to sell in a year to earn $72000 ?
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eee Solve for v in terms of the other variables from the equation: b(v + g) = i(v - g)
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eee Solve for y in terms of the other variables from the equation y5a = b6 + cy -d7.
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eee A fence is built in the shape of a circle with a radius of 37.1 meters. If the material used to build the fence costs $2 per meter, then find the cost of the material used. [Use π = 227.]
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eee The following equation has no solution. Whether the statement is correct or not?
2(x + 3) = 2x - 6
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eee Determine whether the following equation is an identity or not.
44(6 + x) = 288 + 48x - 24 - 4x eee
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eee The perimeter of the rectangle shown is 152 cm and its width is x cm. Find the length of the rectangle.[Given x = 18.]
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eee The repairing charges for the repair of David's car was $336 and the cost for parts used was $48. The cost of the labor is $12 per hour. How many hours did the repair work take?
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eee Solve the equation: 3 = - x - 3
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eee Solve the equation 5(3 - 3x) = - 29(x - 2) - 3x. eee View Solution
eee Solve the equation: - 5(6 + x) + 6 = 2 (x + 3) eee View Solution
eee The dimensions (in inches) of a rectangular metal sheet are in the ratio 3 : 2. Due to the heat the sheet expanded as shown. Perimeter of the sheet after the expansion is 110 inches. What is the percent increase in the perimeter of the sheet? eee View Solution
eee Solve the equation (195) x - (95) = - x5 + 158 .
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eee Solve the equation 2.6n - 7.8 = 13 eee View Solution
eee Determine whether the following equation has a solution or not.
- 5(2 - 2x) - 3 = 2x - 4 + 8x
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eee Solve the equation 3.4(x + 5) - 0.5x = 9.3(x - 2).
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eee Find the value of m, if m + 415 = 617.
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eee A number decreased by 6 equals 4 times the number. Find the number.
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eee What is the value of x, if 3(x - 2) + 13 = 4x + 22? eee View Solution
eee Which of the following choices is the solution for the equation n(-5) = 6? eee View Solution
eee The circumference of a circle is given by C = 2πr. Solve the equation for radius r, and then determine the radius of the circle with circumference 16.
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eee The dimensions (in inches) of a rectangular metal sheet are in the ratio 5 : 4. Due to the heat the sheet expanded as shown. Perimeter of the sheet after the expansion is 218 inches. What is the percent increase in the perimeter of the sheet? eee View Solution
eee The base angles in an isosceles triangle are both 4 times as large as the third angle. Find the measure of all the three angles.
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eee The perimeter of the rectangle shown is 190 cm and its width is x cm. Find the length of the rectangle.[Given x = 16.]
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eee The repairing charges for the repair of David's car was $1190 and the cost for parts used was $238. The cost of the labor is $34 per hour. How many hours did the repair work take?
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eee The following equation has no solution. Whether the statement is correct or not?
5(x + 7) = 5x - 35
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eee Solve the equation: 9 = - x - 4
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eee Solve the equation 4(5 - 4x) = - 23(x - 3) - 5x. eee View Solution
eee A number decreased by 8 equals 5 times the number. Find the number.
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eee Which of the following choices is the solution for the equation n(-4) = 9? eee View Solution
eee Find the value of m, if m + 213 = 415.
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eee Solve the equation: - 6(8 + x) + 9 = 3 (x + 2) eee View Solution
eee Solve the equation (53) x - (95) = - x3 + 137 .
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eee Solve the equation 4.9n - 14.7 = 14.7 eee View Solution
eee Solve the equation 5(x + 5) - 0.7x = 9.6(x - 5).
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eee The circumference of a circle is given by C = 2πr. Solve the equation for radius r, and then determine the radius of the circle with circumference 14.
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eee Solve for x in terms of the other variables from the equation: i(x + h) = c(x - h)
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eee Solve for y in terms of the other variables from the equation y6a = b4 + cy -d5.
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eee Find the values of x that satisfy yz = a2, zx = b2, xy = c2.
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eee A fence is built in the shape of a circle with a radius of 37 meters. If the material used to build the fence costs $7 per meter, then find the cost of the material used. [Use π = 227.]
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eee Determine whether the following equation is an identity or not.
9(5 + x) = 70 + 14x - 25 - 5x eee
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eee The equation 2x - 8 = 69 has a solution in which of the following number systems? eee View Solution
eee The equation x + 39 = 12(78 - 4x) has no solution in which of the following number systems? eee View Solution
eee What is the value of x, if 2(x - 4) + 13 = 3x + 20? eee View Solution
eee What is the value of x, if 5x + 12 = 2x + 21?
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eee If the sum of a positive integer a and the next 13 consecutive numbers is 203, then find a. The formula used for sum of n consecutive numbers is S = n2(First number + Last number). eee View Solution
eee If the sum of a positive integer a and the next 5 consecutive numbers is 273, then find a. The formula used for sum of n consecutive numbers is S = n2(First number + Last number). eee View Solution
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