Handout M1 - Basic Math
3√7 − √5 − 5√7 + 2√20
1. Which of the following is the simplified form of expression given above?
A. 3√5 + 8√7
B. 3√5 + 2√7
C. 3√5 − 2√7
D. 8√5 − 2√7
(16 + 6÷2) − 2(2×3 − 4)2 + 1
2. Which of the following is equivalent to the expression given above?
A. 2
B. 4
C. 10
D. 12
3. An electrician is cutting a wire that is 10 feet long into three pieces. If each piece has to be 8 inches
longer than the previous one, what is the length, in inches, of the longest piece of wire?(1 foot = 12
inches).
A.
B.
C.
D.
32
40
48
56
4. If − a3 + b2 = − a3 + 9 , then b could be equal to which of the following?
A.
B.
C.
D.
-9
3
− √9
3
√9
3
7√x
5. If 2 = 14, then what is the value of x?
A.
B.
C.
D.
2
4
16
46
6. A chemistry lab lasts one hour. What fraction of the lab is completed 45 minutes after it begins?
A. 1/45
B. ¼
C. ¾
D. 1
7. If x2 = k , where x and k are integers, which of the following could be the value of k?
A. 13
B. 14
C. 15
D.16
8. w​hich of the following numbers is between 1 and 2?
A.
7
9
B.
7
3
C.
9
4
D.
10
7
9. If t is 5 more than s, and s is 3 less than r, what is t when r = 3?
A. – 5
B. – 2
C. 1
D. 5
10. If​ ab = 4, a = 8c, and c = 9, what is the value of b?
A. 2
B. 8
C. 18
D. 36
11. If 0.0013x = 0.013, then x =
A. 0.01
B. 0.1
C. 1
D.10
12. If you add some number j to 50, and then divide this sum by j, the result is 3. What is the value of j?
A. 25
B. 20
C. 15
D. 10
13. Which of the following represents the same value as 0.00326691?
A. 3.26691×10−3
B. 3.26691×10−2
C. 3.26691×10−1
D. 32.6691×10−2
14. What are the all values of x for which (x – 2)(x+5)=0?
A. – 5
B. – 2 and 5
C. 2 and 5
D. 2 and – 5
15. If a + 2 > 5 and a – 4 < 1, which of the following could be a value for a?
A. 2
B. 3
C. 4
D. 5
16. If a number is rounded to 16.8, which of the following could have been the original number?
A. 16
B. 16.704
C. 16.763
D. 16.873
17. 2y + 6x = 3; y + 3x = 2
How many solutions(x, y) are there for the system of equations given above?
A.
B.
C.
D.
Zero
One
Two
More than two
18. What percent of 3 is 6?
A. 50
B. 20
C. 200
D. ½
19. 3​2​ x 3​-2​ + 4​1​ + 6​0​ =
A.
B.
C.
D.
6
11
17
23
20. Which of the following is equal to sin (π/5)?
A. - cos (π/5)
B. - sin (π/5)
C. cos (3π/5)
D. sin (7π/10)
21. If the circle equation is given as (x - 3)​2​ + (y + 4 )​2​ = 169 then what is the diameter of the circle?
22. What is the slope of the line parallel to the line whose line equation is - y = -2x + 4?
23. ​The average (arithmetic mean) of 5, 8, 2, and ​k​ is 0. What is the median of this set?
24. ​A vendor sold 1,200 compact cars in May of last year, a 50% increase from April of last year. How
many cars did the vendor sell in April of last year?
25. ​A total of 140,000 votes were cast for two candidates, Skinner and Whitehouse. If Skinner won by a
ratio of 4 to 3, how many votes were cast for Whitehouse?