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Algebra Test Questions
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| Below are sample questions from the
TIMSS achievement tests in Science administered to twenty-six countries.
TIMSS is a research project sponsored by the International Association for
the Evaluation of Educational Achievement (IEA). These questions may be
used in the classroom, as a tool for evaluation, or to provide examples
of test-question writing. |
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| Grades
7 and 8 |
| 1. Brad wanted to find three consecutive
whole numbers that add up to 81. He wrote the equation (n-1)+n+(n=1)=81.
What does the n stand for? |
| A. The least of the three whole numbers |
| B. The middle whole number |
| C. The greatest of the three whole
numbers |
| D. The difference between the least
and the greatest of the three whole numbers |
| |
| Answer: B |
|
| 2. The numbers in the sequence 2,
7, 12, 17, 22, ...increase by fives. The numbers in the sequence 3, 10,
17, 24, 31,...increase by sevens. The number 17 occurs in both sequences.
If the two sequences are continued, what is the next number that will be
seen in both sequences? |
| Answer: |
| |
| Answer: 52 |
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3. The table represents a relation between x and y.
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| What is the missing number in the
table? |
| A. 2 |
| B. 3 |
| C. 4 |
| D. 5 |
| E. 6 |
| |
| Answer: B |
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| 4. x/2 < 7 is equivalent to |
| A. x<7/2 |
| B. x<5 |
| C. x<14 |
| D. x>5 |
| E. x>14 |
| |
| Answer: C |
|
| 5. A rubber ball rebounds to half
the height it drops. If the ball is dropped from a rooftop 18m above the
ground, what is the total distance traveled by the time it hits the ground
the third time? |
| A. 31.5 m |
| B. 40.5 m |
| C. 45 m |
| D. 63 m |
| |
| Answer: C |
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| 6. Find x if 10x-15=5x+20 |
| |
| Answer: __________________ |
| |
| Answer: 7 |
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| 7. If x=2, what is the value of 7x+4
divided by 5x-4? |
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| Answer: |
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| Answer: 3 |
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| 8. If 3(x+5)=30, then x= |
| A. 2 |
| B. 5 |
| C. 10 |
| D. 95 |
| |
| Answer: B |
|
| 9. If m represents a positive number,
which of these is equivalent to m+m+m+m? |
| A. m+4 |
| B. 4m |
| C. m to the forth power |
| D. 4(m+1) |
| |
| Answer: B |
|
| 10. Which of these expressions is
equivalent to y to the power of 3? |
| A. y+y+y |
| B. y times y times y |
| C. 3y |
| D. y squared +y |
| |
| Answer: B |
|
| 11. Juan has 5 fewer hats than Maria,
and Clarissa has 3 times as many hats as Juan. If Maria has n hats, which
of these represents the number of hats that Clarissa has? |
| A. 5-3n |
| B. 3n |
| C. n-5 |
| D. 3n-5 |
| E. 3(n-5) |
| |
| Answer: E |
|
| 12. Subtract: 2x/9 - x/9= |
| A. 1/9 |
| B. 2 |
| C. x |
| D. x/9 |
| E. x/81 |
| |
| Answer: D |
|
| 13. P=LW. If P=12 and L=3, then W
is equal to |
| A. 3/4 |
| B. 3 |
| C. 4 |
| D. 12 |
| E. 36 |
| |
| Answer: C |
|
| 14. Which one of the following is
FALSE when a, b, and c are different real numbers? |
| A. (a+b)+c = a+(b+c) |
| B. ab=ba |
| C. a+b=b+a |
| D. (AB)c=a(bc) |
| E. AB=BA |
| |
| Answer: E |
|
| 15. A group of students has a total
of 29 pencils and everyone has at least one pencil. Six students have 1
pencil each, 5 students have 3, and the rest have 2. How many students have
only 2 pencils? |
| A. 4 |
| B. 6 |
| C. 8 |
| D. 9 |
| |
| Answer: A |
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| 16. There are 54 kilograms of apples
in two boxes. The second box of apples weighs 12 kilograms more than the
first. How many kilograms of apples are in each box? Show your work. |
| |
| Answer: |
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| Answer: 33 kg and 21 kg. |
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