ACT math practice questions &
Answers. 100% Accurate.
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. - ✔✔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. - ✔✔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. - ✔✔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. - ✔✔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. - ✔✔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. - ✔✔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
Answers. 100% Accurate.
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. - ✔✔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. - ✔✔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. - ✔✔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. - ✔✔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. - ✔✔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. - ✔✔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
