All of the following statements about rational and/or irrational numbers must be true EXCEPT:
(F) the sum of any two rational numbers is rational.
(G) the product of any two rational numbers is rational.
(H) the sum of any two irrational numbers is irrational.
(J) the product of a rational and an irrational number may be rational or irrational.
(K) the product of any two irrational numbers is irrational.
Hannah is 5 years younger than Nora, who is x years old. Which of the following is an expression for Hannah's age in 2 years?
(F) x - 3 (G) x + 3 (H) x + 7 (J) 2x - 3 (K) 3
Correct Answer: F
If 7x+ 4y= 18 and 3x+ y= –3, what is the value of x+ y?
(F) 9(G) 11(H) 12(J) 14(K) 15
Correct Answer: F
A size 8 dress that usually sells for $60 is on sale for 30% off. Victoria has a store credit card that entitles her to an additional 10% off the reduced price of any item in the store. Excluding sales tax, what is the price Victoria pays for the dress?
(A) $22.20(B) $24.75(C) $34.00(D) $36.00(E) $37.80
Correct Answer: E
More ACT Math Exam Questions
- 1What is the solution set for the equation |-x| = x?
- 2
The line with equation 5y - 4x = 20 does NOT lie in which quadrant(s) of the standard (x, y) coordinate plane below?
- 3
Point C (1,2) and point D (7,-10) lie in the standard coordinate plane. What are the coordinates of the midpoint of
? - 4As shown in the standard (x,y) coordinate plane below, A (2,4) lies on the circle with center L (10,-2) and radius 10 coordinate units. What are the coordinates of the image of A after the circle is rotated 90° counterclockwise (?) about the center of the circle?
- 5
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: