| math_act.ppsx |
1.Carmen is playing with blocks. She arranges stacks of blocks so that each successive level of blocks has 1 fewer block than the level below it and the top level has 1 block. Such a stack with 3 levels is shown below. Carmen wants to make such a stack with 12 levels. How many blocks would she use to build this stack?
A. 66
B. 78
C. 132
D. 144
E. 156
2. To keep up with rising expenses, a motel manager needs to raise the $40.00 room rate by 22%. What will be the new rate?
F. $40.22
G. $42.20
H. $48.00
J. $48.80
K. $62.00
3. As a salesperson, your commission is directly proportional to the dollar amount of sales you make. If your sales are $800, your commission is $112. How much commission would you earn if you had $1,400 in sales?
A. $210
B. $196
C. $175
D. $128
E. $64
4. If 7 + 3x = 22, then 2x = ?
F.5
G. 10
H. 12
J. 14
K.5 8/3
5. The total cost of renting a car is $30.00 for each day the car is rented plus 28 ¢ for each mile the car is driven. What is the total cost of renting the car for 5 days and driving 350 miles? (Note: No sales tax is involved.)
A. $104.75
B. $159.98
C. $249.75
D. $300.00
E. $1,147.50
6. In any parallelogram ABCD, it is always true that the measures of ∠ABC and ∠BCD:
F. add up to 180°.
G. add up to 90°.
H. are each greater than 90°.
J. are each 90°.
K. are each less than 90°.
7. What is the least common denominator for adding the fractions 4/15, 1/12, 3/8 and ?
A. 40
B. 120
C. 180
D. 480
E. 1,440
8. The product (2x4y)(3x5y8) is equivalent to:
F. 5x9y9
G. 6x9y8
H. 6x9y9
J. 5x20y8
K. 6x20y8
9. It costs a dollars for an adult ticket to a reggae concert and s dollars for a student ticket. The difference between the cost of 12 adult tickets and 18 student tickets is $36. Which of the following equations represents this relationship between a and s ?
A. 12a/18s=36
B. 216as =36
C. ⎪12a – 18s⎪ = 36
D. ⎪12a + 18s⎪ = 36
E. ⎪18a + 12s⎪ = 36
10. If x > 1, then which of the following has the LEAST value?
F. x
G. 2x
H. x ·x
J. xx
K. x ·x
11.Charles defined a new operation, ♦, on pairs of ordered pairs of integers as follows: (a,b) ♦ (c,d) = ac+bd/ab-cd. What is the value of (2,1) ♦ (3,4) ?
A. –2
B. –1
C. 2
D.5
E. 10
12. In the figure below, ∠BAC measures 30°, ∠ABC measures 110°, and points B, C, and D are collinear. What is the measure of ∠ACD ?
F. 150°
G. 140°
H. 130°
J. 120°
K. 110°
13. In the isosceles right triangle below, AB = 10 feet. What is the length, in feet, of AC ?
A.5
B. 10
C. 20
D. 20
E. 10
14. In a bag of 400 jelly beans, 25% of the jelly beans are red in color. If you randomly pick a jelly bean from the bag, what is the probability that the jelly bean picked is NOT one of the red jelly beans?
F. 1/2
G. 1/4
H. 3/4
J. 1/16
K. 15/16
15. What polynomial must be added to x2 – 2x + 6 so that the sum is 3 x2 + 7x ?
A. 4x2 + 5x + 6
B. 3x2 + 9x + 6
C. 3x2 + 9x – 6
D. 2x2 + 9x – 6
E. 2x2 – 5x + 6
16. What is the slope of any line parallel to the line 8x+9y= 3 in the standard (x,y) coordinate plane?
F. –8
G.–8/9
H.8/3
J. 3
K. 8
17. In the standard (x,y) coordinate plane, a line segment has its endpoints at (3,6) and (9,4). What are the coordinates of the midpoint of the line segment?
A. (3,–1)
B. (3, 1)
C. (6, 2)
D. (6, 5)
E. (12,10)
18. When y =x2, which of the following expressions is equivalent to –y?
F. (–x)2
G. –x2
H. –x
J. x–2
K. x
19. For the function h(x) = 4x2 – 5x, what is the value of h (–3) ?
A. –93
B. –9
C. 21
D. 51
E. 159
20. For all triangles XYZ where side XZ is longer than side YZ, such as the triangle shown below, which of the following statements is true?
F. The measure of ∠X is always less than the measure of ∠Y.
G. The measure of ∠X is always equal to the measure of Y.
H. The measure of ∠X is always greater than the measure of ∠Y.
J. The measure of ∠X is sometimes less than the measure of ∠Y and sometimes equal to the measure of ∠Y.
K. The measure of ∠X is sometimes greater than the measure of ∠Y and sometimes equal to the measure of ∠Y.
