## In the figure below, the lengths of the sides of right triangle BAC are as shown. bisects side . What is the length of DC?

(A)

(B) 2

(C) 3

(D)

(E) 4

The day a clothing store puts out a batch of brand-name T-shirts it
sells 95 shirts at $4.10 per shirt. However, each day the shirts are on
the rack, the store reduces the price of the shirts by $0.02 and
consequently sells 1 additional shirt with each price reduction. If *x*
represents the number of $0.02 price reductions, which of the following
expressions represents the amount of money, in dollars, that the store
will take in daily in sales of these brand name T-shirts?

(A) (4.10 + 2x)(95 + x) (B) (4.10 - 2x)(95 + x) (C) (4.10 + 0.02x)(95 + x) (D) (4.10 - 0.02x)(95 + x) (E) (4.10-- 0.02x)(95 + 0.02x)

**Correct Answer: D**

What is the least integer value of x that makes the inequality true?

（A）7 （B） 8 （C） 9 （D） 10 （E） 11

**Correct Answer: C**

In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?

（A） （B） （C） （D） （E）

**Correct Answer: A**

### More ACT Math Exam Questions

- 1Given the equation - x + 6y = 18, which of the following equations is perpendicular to the given equation?
- 2If 9 - x
^{3}+ 2 = 19, what is the value of x? - 3Last week Dyson earned $8 per hour working at the local grocery store. This week his boss gave him a 10% raise. If he works 20 hours this week, what will his gross income be before taxes?
- 4
A function is defined for

*x*and*y*such that*f*_{(x, y)}= -2*xy*+*y*+*x*- 4. So, for*x*= 2 and*y*= 3,*f*_{(2, 3)}= -2 × 2 × 3 + 3 + 2 - 4 = -12 + 1 = -11. If*x*and*y*are to be chosen such that*f*_{(x,y)}=*f*_{(y,x)}, then which of the following restrictions must be placed on*x*and*y*? - 5If 2x + 3y = 55 and 4x = y + 47, find x − y