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##### 代數一 （時限：35分鐘）

##### 年終評估

#####

1. A fruit basket contains the same number of apples and pears. If Eric eats 5 apples and 1 pear, there will be twice as many pears as apples. How many pears remain in the basket?

8

9

4

10

2. At 2:00 P.M. a train A leaves a station traveling at 100 mi/hr. At 4:30 P.M. train B leaves the station on a parallel route and traveling at 150 mi/hr. How far away from the station will the second train overtake the first train?

500 mi

250 mi

750 mi

1000 mi

3. Which of the following lines is not perpendicular to the line with equation 2y + 5x = -11?

5y = 2x + 3/2

y = -5/2x + 6

10y – 5 = 4x

-5y = -2x -4

4. Solve 3(a−4)+2(a+1)=10−5a.

All real numbers

No solutions

0

2

5. Selena is buying folding chairs that are on sale for $10. If she has $50, which inequality can be solved to show the number of chairs c she can buy?

10c≤50

10c=50

c≤5

None of the above

6. One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What is the smaller of the two numbers?

15

5

10

25

7. Jenny and her sister are saving to buy an Airpod. Jasmine has $50 and plans to save $10 per week. Her sister has $80 and plans to save $7 per week. In how many weeks will Jasmine have more money saved than her sister?

10 Weeks

12 Weeks

8 Weeks

None of the above

8. Find the Value of a. 4x² +ax=2x(2x+1)

8

6

4

2

9. The ratio of boys to girls in your new class is 5 : 2. The sum of the kids in the class is 28. How many boys are in the class?

20

25

30

35

10. There were T people waiting for buses at the station. When the first bus arrived, n people boarded it. The remaining p people waited for buses to other places. Use the equation T − n = p, to find n, the number of people who boarded the first bus.

n=T+p

n=T−p

n+T=p

None of the above

11. Your little sister Molly is one third the age of your mom. In 12 years, Molly will be half the age of your mom. How old is Molly now?

20

29

24

18

12. A train and a car start at the same place. The train is going 40 miles per hour and a car is going in the opposite direction at 60 miles per hour. How long will it be until they are 100 miles apart?

1

1.5

2

0.5

13. 4/5 of a number is less than 2 less than the same number. Solve the inequality.

x<10

x>10

x>5

x<5

14. Erica must tutor at least 12 hour per week in order to be eligible for her work-study program at her university. She must also study 10 more hours than what’s she’s tutoring, so she can keep up her grades in the program. What is the minimum number of hours Erica must study in order to be eligible for her work-study program?

22 hours

24 hours

28 hours

26 hours

15. Katie and Beth had the same number of marbles on January 1st. By the end of the year, Katie's collection of marbles increased by 25% and Beth's decreased by 75%. On December 31st, the number of marbles Beth owned was what percent of the number of marbles Katie owned?

5%

50%

20%

2%

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