ACT Math - 10 questions

Front

What is the midpoint of the points (-3, 4) and (5, 0)?

Back

(1, 2) - The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the slope of a line perpendicular to y = (1/3)x + 4?

Back

-3 - The slope of a perpendicular line is the negative reciprocal of the original slope.

Front

What is the probability of drawing a number less than 9 from numbers 1 to 15?

Back

8/15 - There are 8 favorable outcomes (1 to 8) out of 15 total outcomes.

Front

How many students earned a C if 1/4 earned an A and 1/3 earned a B in a class of 180 students?

Back

75 - 1/4 of 180 is 45 (A), 1/3 of 180 is 60 (B), so 180 - 45 - 60 = 75 (C).

Front

What is the resulting function when y = 2x is shifted vertically 7 units upward?

Back

y = 2x + 7 - A vertical shift adds or subtracts from the y-value.

Front

What is the formula for the midpoint of two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the negative reciprocal of 1/3?

Back

-3 - The negative reciprocal is found by flipping the fraction and changing the sign.

Front

If a jar contains numbers 1 to 15, how many numbers are less than 9?

Back

8 - The numbers less than 9 are 1, 2, 3, 4, 5, 6, 7, 8.

Front

How do you calculate the total number of students who earned a grade in a class?

Back

Add the number of students in each grade category together.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.