In △VWY below, X lies on ; Z lies on ; and a, b, c, and d are angle measures, in degrees. The measure of Y is 45°. What is a + b + c + d?
(F) 315
(G) 270
(H) 225
(J) 135
(K) 90
Which of the following inequalities is represented by the following number line?
(A) –5 < x< 5(B) –5 ≤x< 5(C) –5 < x≤5(D) |x| < 5(E) 5 ≤|x|
Correct Answer: B
If , what is the value of cos a?
(F) (G) (H) (J) (K)
Correct Answer: H
A function f is defined by f(x,y) = x - (xy - y). What is the value of f(8,6)?
(A)-46 (B) -34 (C) 46 (D) 50 (E) 62
Correct Answer: B
More ACT Math Exam Questions
- 1
In the diagram below, ABC is isosceles and BCD is equilateral. = and the measure of ABC is half the measure of BAC. What is the measure of ABD?
- 2
The production cost of x computers for a company over one year is $175x + $150,000. To minimize production costs in a given year to $465,000, how many computers can the company make in that year?
- 3In the figure below, side of isosceles triangle NLM lies on the line y + x = 2 in the standard (x,y) coordinate plane, and side is parallel to the x-axis. What is the slope of ?
- 4In a complex plane, the vertical axis is the imaginary axis and the horizontal axis is the real axis. Within the complex plane, a complex number a + bi is comparable to the point (a, b) in the standard (x, y) coordinate plane. is the modulus of the complex point a + bi. Which of the complex numbers F, G, H, J, and K below has the smallest modulus?
- 5On his first day working out, Anthony did 30 push-ups. On each successive day, he did exactly 3 more push-ups than on the previous day. After completing his push-ups on the 30th day, how many push-ups had he completed on all 30 days?