ACT math exam questions and answer
408. 04 is the correct answer. If you divide 2,727 miles by 27 miles per gallon you will
get the number of gallons: = 101. Then, multiply the number of gallons by the cost per
gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical
miles. - correct Answers-A car averages 27 miles per gallon. If gas costs $4.04 per
gallon, which of the following is closest to how much the gas would cost for this car to
travel 2,727 typical miles?
14 is the correct answer. When you use x = 3 and y = 5 in the given expressions, 3x² -
2y = 3(3)² - 2(5) = 27 - 10 = 17 and 2x² - 3y = 2(3)² - 3(5) = 18 - 15 = 3. Then subtract 3
from 17 to get 14. - correct Answers-When x = 3 and y = 5, by how much does the value
of 3x² - 2y exceed the value of 2x² - 3y ?
The answer is 7. You can solve this problem by first subtracting 2x from each side of the
equation to get 3 = x - 4. Then add 4 to each side, so x = 7. - correct Answers-What is
the value of x when 2x + 3 = 3x - 4 ?
42 is the correct answer since it is the largest number that is a factor of all three
numbers given. You can find the greatest common factor by writing out the prime
factorization of all three numbers, and then taking each of the common prime factors to
the lowest power that appears for that factor: 42 = 2 × 3 × 7; 126 = 2 × 32 × 7; and 210
= 2 × 3 × 5 × 7. So the greatest common factor is 2 × 3 × 7 = 42. - correct Answers-
What is the greatest common factor of 42, 126, and 210 ?
16 is If x = sales for the first year, then x + 3 = sales for the second year. Since sales for
the third year were double the sales for the second year, sales for the third year = 2(x +
3). Sales for the third year were 38, so 2(x + 3) = 38. To solve this equation, you could
first divide each side by 2 to get x + 3 = 19. Then, by subtracting 3 from both sides, x =
16. - correct Answers-Sales for a business were 3 million dollars more the second year
than the first, and sales for the third year were double the sales for the second year. If
sales for the third year were 38 million dollars, what were sales, in millions of dollars, for
the first year?
The correct answer is 350.If you substitute D with 150 in the expression, you get +
4(150) - 250 = + 600 - 250 = 350. - correct Answers-Abandoned mines frequently fill
with water. Before an abandoned mine can be reopened, the water must be pumped
out. The size of pump required depends on the depth of the mine. If pumping out a mine
that is D feet deep requires a pump that pumps a minimum of + 4D - 250 gallons per
minute, pumping out a mine that is 150 feet deep would require a pump that pumps a
minimum of how many gallons per minute?
408. 04 is the correct answer. If you divide 2,727 miles by 27 miles per gallon you will
get the number of gallons: = 101. Then, multiply the number of gallons by the cost per
gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical
miles. - correct Answers-A car averages 27 miles per gallon. If gas costs $4.04 per
gallon, which of the following is closest to how much the gas would cost for this car to
travel 2,727 typical miles?
14 is the correct answer. When you use x = 3 and y = 5 in the given expressions, 3x² -
2y = 3(3)² - 2(5) = 27 - 10 = 17 and 2x² - 3y = 2(3)² - 3(5) = 18 - 15 = 3. Then subtract 3
from 17 to get 14. - correct Answers-When x = 3 and y = 5, by how much does the value
of 3x² - 2y exceed the value of 2x² - 3y ?
The answer is 7. You can solve this problem by first subtracting 2x from each side of the
equation to get 3 = x - 4. Then add 4 to each side, so x = 7. - correct Answers-What is
the value of x when 2x + 3 = 3x - 4 ?
42 is the correct answer since it is the largest number that is a factor of all three
numbers given. You can find the greatest common factor by writing out the prime
factorization of all three numbers, and then taking each of the common prime factors to
the lowest power that appears for that factor: 42 = 2 × 3 × 7; 126 = 2 × 32 × 7; and 210
= 2 × 3 × 5 × 7. So the greatest common factor is 2 × 3 × 7 = 42. - correct Answers-
What is the greatest common factor of 42, 126, and 210 ?
16 is If x = sales for the first year, then x + 3 = sales for the second year. Since sales for
the third year were double the sales for the second year, sales for the third year = 2(x +
3). Sales for the third year were 38, so 2(x + 3) = 38. To solve this equation, you could
first divide each side by 2 to get x + 3 = 19. Then, by subtracting 3 from both sides, x =
16. - correct Answers-Sales for a business were 3 million dollars more the second year
than the first, and sales for the third year were double the sales for the second year. If
sales for the third year were 38 million dollars, what were sales, in millions of dollars, for
the first year?
The correct answer is 350.If you substitute D with 150 in the expression, you get +
4(150) - 250 = + 600 - 250 = 350. - correct Answers-Abandoned mines frequently fill
with water. Before an abandoned mine can be reopened, the water must be pumped
out. The size of pump required depends on the depth of the mine. If pumping out a mine
that is D feet deep requires a pump that pumps a minimum of + 4D - 250 gallons per
minute, pumping out a mine that is 150 feet deep would require a pump that pumps a
minimum of how many gallons per minute?
