Susie has three T-shirts: one red, one blue, and one black. She also has three pairs of shorts: one red, one blue, and one black. How many different combinations are there for Susie to wear exactly one T-shirt and one pair of shorts?
(F) 3
(G) 6
(H) 8
(J) 9
(K) 27
In the rhombus below, diagonal AC = 6 and diagonal BD = 8. What is the length of each of the four sides?
(A) (B) (C) 5 (D) 7 (E) 10
Correct Answer: C
Which of the following is a possible value of xif 5x2– 10x+ 4 = 0?
(F) (G) (H) (J) (K)
Correct Answer: H
When f(a) = a2 + 2a + 5, what is the value of f(a + b)?
(A)a2 + b2 + 2ab + 5 (B) a2 + b2 + 2a + 2b + 10 (C) a2 + b2 + 2a + 2b + 5 (D) (a + b)2 + a + b + 5 (E) (a + b)2 + 2a + 2b + 5
Correct Answer: E
More ACT Math Exam Questions
- 1
In the qualifying rounds for a race, Rusty and Dale drive their cars around a 6,000-foot oval track. Rusty and Dale each drive 8 laps in the qualifying rounds in lanes of identical length.
In the qualifying rounds, Rusty averages 180 seconds per lap until he begins the last lap. He then goes into a lower gear. He averages 190 seconds per lap for this qualifying round. How many seconds does Rusty take to drive the final lap?
- 2What value must be added to 9x2 - 30x in order to complete the square (that is, make it a perfect square trinomial)?
- 3William earned $3,200 per month as a teacher for the ten months from September to June. Then he took a job as a barista at a local café, where he earned $2,000 per month during July and August. What was his average monthly pay for the 12 months?
- 4
If x = - and x = are the roots of the quadratic equation ax2 + bx + c = 0, then which of the following could represent the two factors of ax2 + bx + c?
- 5A carpet company uses the following formula for estimating the number of square feet, a, of carpeting needed for a room x feet by y feet, containing a stairway w feet by z feet, with n stairs: a = xy + w[z(2n - 1) + 2n] What is the company's estimate for the number of square feet of carpeting needed for a room that is 15 feet by 18 feet, containing a stairway that is 6 feet by 6 feet with 8 stairs?