Act Math Practice Question 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?

$311.22

$600.00

$510.93

$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 travel2,727 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. 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?

24

11

21

16
-If x = sales for the first year, then x + 3 = sales forthe second year. Since sales for the third year were double the salesfor 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.

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.

3. In the figure below, ray was constructed starting from rays and . By using a compass, D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF:.

Are supplementary angles-DEF and GEF are supplementary angles due to the relationship between D, E, F, and G.

Are different-Even though D and G are equidistant from E, it does not guarantee that F will also be equidistant from D and G.

Cannot be determined-There is not enough information provided to determine the measures of DEF and GEF based on the construction steps.

Are equal
-If you draw line segments DF and FG, you can show DEF GEF by SSS (side-side-side congruence). So, DEF GEF because corresponding parts of congruent triangles are congruent.

The correct answer explains the concept of congruent triangles formed by SSS congruence based on the construction steps provided.

Explanation

The correct answer explains the concept of congruent triangles formed by SSS congruence based on the construction steps provided.