ACT Math Latest Exam With
Verified Solutions 2025/2026
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
Verified Solutions 2025/2026
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
