If and bc= 7, which of the following statements must be true?
(A) a and bare directly proportional.
(B) aand care inversely proportional.
(C) aand d are inversely proportional.
(D) band care directly proportional.
(E) cand dare inversely proportional.
For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?
(F) -4
(G) -1
(H) 0
(J) 4
(K) There is no value of x for which the equation is true.
Correct Answer: J
The expression (5x + 2)(x-- 3) is equivalent to:
(A)5x2 + 13x - 6 (B) 5x2 - 13x - 6 (C) 5x2 - 4x + 5 (D) 5x2 - 6 (E) 5x2 - 5
Correct Answer: B
Pat's Pastries baked 80 apple pies and 50 loaves of apple bread to be sold at a 2-day Fall Festival. The pies were sold for $25 each and the loaves of bread were sold for $10 each. Which of the following expressions gives the total amount of money, in dollars, collected from selling all of the apple pies and B of the loaves of bread?
(A) 35B (B) 1,570B (C) B + 80 (D) 10B + 1,250 (E) 10B + 2,000
Correct Answer: E
More ACT Math Exam Questions
- 1Two contractors bid on a job to build a brick wall in a yard. Contractor A charges a flat fee of $1,600 plus $2 per brick. Contractor B charges a flat fee of $400 plus $8 per brick. If x represents the number of bricks in the wall, which of the following equations could be solved to determine the number of bricks which would make B's charge to build the wall equal to A's charge?
- 2For real numbers x and y, when is the equation |2x + 3y| = |2x - 3y| true?
- 3
If a sphere is cut by two different planes, dividing it into sections, how many sections is it possible to end up with?
- 4
For θ, an angle whose measure is between 270° and 360°, cos θ = . Which of the following equals tan θ?
- 5
In the figure below, the circle with center O is tangent to , , , and . The measure of angle BDE is 75° and the measure of DEA is 105°.
The lines in which of the following pairs of lines are necessarily parallel?
I. and
II. and
III. and