ACT MATH EXAM 2024/2025 WITH 100%
ACCURATE SOLUTIONS
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. - Precise Answer ✔✔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. - Precise Answer
✔✔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. - Precise Answer ✔✔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. - Precise
Answer ✔✔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. - Precise Answer ✔✔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. - Precise Answer ✔✔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 -
ACCURATE SOLUTIONS
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. - Precise Answer ✔✔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. - Precise Answer
✔✔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. - Precise Answer ✔✔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. - Precise
Answer ✔✔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. - Precise Answer ✔✔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. - Precise Answer ✔✔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 -
