Math Mcqs
- If the length L of a rectangle is 3 meters more than twice its width and its perimeter is 300 meters, which of the following equations could be used to find L?
A) 3L + 3 = 300
B) 3L = 300
C) 3L - 3 = 300
D) 2L + 3 = 300
E) 4L = 300 - The average of two numbers is 50. Their difference is 40. Write an equation that may be used to find x the smallest of the two numbers.
A) x - 20 = 50
B) 2x + 20 = 50
C) x - 20 = 100
D) x + 20 = 40
E) x + 20 = 50 - Pump A can fill a tank in 2 hours and pump B can fill the same tank in 3 hours. If t is the time, in hours, that both pump take to fill the tank, which of these equations could be used to find t?
A) 2t + 3t = 1
B) t/2 + t/3 = 1
C) t / (2 + 3) = 1
D) (2 + 3) / t = 1
E) t + 2 + 3 = 1 - John drove for two hours at the speed of 50 miles per hour (mph) and another x hours at the speed of 55 mph. If the average speed of the entire journey is 53 mph, which of the following could be used to find x?
A) (55 + x) / 2 = 53
B) (50 + x) / 2 = 53
C) (55 + 53) / 2 = x
D) 100 + 55 x = 53 (2 + x)
E) 53 x = 2 - The sum of 3 consecutive even numbers is 126. Which of these equations could be used to find x, the largest of these 3 numbers?
A) 3x - 6 = 126
B) 3x + 6 = 126
C) 3x + 3 = 126
D) 3x - 3 = 126
E) 3x - 9 = 126 - The radius of a circle is 3 centimeters (cm) more than twice the side of a square. The circumference of the circle is 4 times the perimeter of the square. Write an equation that can be used to find the radius r of the circle.
A) 2 pi r = 16 (r - 3)
B) 2 pi r = 8 (r + 3)
C) 2 pi r = 16 (r + 3)
D) 2 pi r = 8 (r - 3)
E) 6 pi = 4r - The height of a trapezoid is 10 millimeters (mm). b is the length of one of the two bases of the trapezoid and is 2 mm longer than 3 times the length of the second base. The area of the trapezoid is 300 mm2. Write an equation to find b.
A) (h / 2) (4b - 2) = 300
B) (h / 2) (4b + 2) = 300
C) h (4b - 2) = 300
D) h (4b - 2) = 600
E) (h / 3) (4b - 2) = 600 - 25% of one third of the sum of twice x and 3 is equal to half of the difference of x and its tenth. Write an equation to find x.
A) 0.25(2x + 3) / 3 = 0.5 (x - 0.1)
B) 0.25(2x + 3) / 3 = 0.5 (x - 0.1 x)
C) 0.25(2x) / 3 + 3 = 0.5 (x - 10)
D) 0.25(2x + 3) / 3 + 3 = 0.5 (x - 10/x)
E) 0.25(2x) / 3 + 3 = 0.5 (x - 10 x) - The price x of a car was first decreased by 15% and decreased a second time by 10%. Write an equation to find x if the car was bought at $12,000.
A) (x - 0.15 x) - 0.1 (x - 0.15 x) = 12,000
B) x - 0.15x - 0.1 x = 12,000
C) x - 0.15x - 0.1 x = 12,000
D) (x - 0.15 x) - 0.1 x = 12,000
E) x = 12,000 - 15% - 10% - A company produces a product for which the variable cost is $6.2 per unit and the fixed costs are $22,000. The company sells the product for $11.45 per unit. Write an equation to find x, the numbers of units sold if the total profit made by the company was $45,000.
A) 45,000 = 11.45 x + (6.2 x + 22,000)
B) 45,000 - 22,000 = 11.45 x - 6.2 x
C) 45,000 = 11.45 x - (6.2 x + 22,000)
D) 45,000 = 11.45 x - 6.2 x + 22,000
E) 45,000 + 11.45 x = 6.2 x + 22,000
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Tags: Math Mcqs
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