## When graphed in the standard (x, y) coordinate plane, the graphs of y = x^{2} - 5 and y = x + 1 intersect at which of the following points?

(A)(-3, 2) and (2, 3)

(B) (-3, 4) and (2, -1)

(C) (3, -4) and (-2, 1)

(D) (3, 4) and (-2, -1)

(E) The graphs do not intersect.

Given triangle CDE (shown below) with a right angle at point E, what is the length of leg DE?

(F) 8 (G) (H) 6 (J) (K) 16

**Correct Answer: H**

At Fatima's Fruits, a bag of eight grapefruits costs $4.40. At Ernie's Edibles, a bag of three grapefruits costs $1.86. How much cheaper, per grapefruit, is the cost at Fatima's Fruits than at Ernie's Edibles?

(A) $0.07 (B) $0.35 (C) $0.59 (D) $1.17 (E) $2.54

**Correct Answer: A**

What positive value of k would make the lines below parallel in the (x, y) coordinate plane? kx + 2y = 6 32x + ky = 18

（A）0 （B） 3 （C） 6 （D） 8 （E） 12

**Correct Answer: D**

### More ACT Math Exam Questions

- 1On the number line of all real numbers, what is the midpoint of –12 and 20?
- 2A poll of 200 students was taken before Center High School changed the name of its mascot. All 200 students indicated which 1 of the 4 mascot names they would vote for. The results of the poll are given in the table below. If the poll is indicative of how the 3,000 students at Center High School will actually vote, which of the following is the best estimate of the number of votes Knights will receive?
- 3Triangle XYZ is an equilateral triangle. YW‾ \overline{\rm YW} YW is an altitude of the triangle. If XY‾ \overline{\rm XY} XY is 10 in., what is the length of the altitude?
- 4In the figure below, D is a point on segment AB, and the segment CD is perpendicular to the segment AB. Based on this information, which of the following conclusions can be made?
- 5
In the following figure, line M and line N are parallel. Which of the answer choices does NOT necessarily add up to 180°?