Solve These Act Math Questions Quiz

1. 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?

275.19

305.93

357.48

The answer is 408.04
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.

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.

Explanation

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.

2. When x = 3 and y = 5, by how much does the value of 3x2 − 2y exceed the value of 2x2 − 3y?

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.

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When substituting x = 3 and y = 5 into the expressions, 3x2 − 2y = 17 and 2x2 − 3y = 3. Subtracting both values (17 - 3) gives us the correct answer of 14.

Explanation

When substituting x = 3 and y = 5 into the expressions, 3x2 − 2y = 17 and 2x2 − 3y = 3. Subtracting both values (17 - 3) gives us the correct answer of 14.

3. What is the value of x when 2x + 3 = 3x - 4?

The corect 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.

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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.

Explanation

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.

4. What is the greatest common factor of 42, 126, and 210?

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.

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The greatest common factor is the largest number that is a factor of all three numbers given. By finding the prime factorization of each number and identifying the common prime factors, the greatest common factor is determined to be 42.

Explanation

The greatest common factor is the largest number that is a factor of all three numbers given. By finding the prime factorization of each number and identifying the common prime factors, the greatest common factor is determined to be 42.

5. 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?

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16 is the correct answer. 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.

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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.

Explanation

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.