Maths 7&8 Unit 2

Grade 7 2005 E.
C Unit Two Mathematics Unit 2
1
1. Which one of the following equations is not equivalent to (3x-2) =5?
2
A. 3x-2=10 B. 3x=12 C. 2x-1=9 D. 2x-8=0
2. What is the solution set of the equation 3(2x+1) – 2(3x-4) = 11 in the set of
rational number Q?
A. {0} B. {11} C. {∅ } D. {x: x∈Q}
Grade 8 2005 E.C Unit Two Mathematics Unit 2
3. Which of the following algebraic expressions is not a binomial?

A. 2a (1-a) B. (a-1) (a+1) C. (a+2) (a-1) D. 1+a2
4. Which one of the following is the highest common factor (HCF) of the terms
6x2y3, 9x3y2, and 18xy4?
A. 3xy2 B. 3x2y C. 6xy2 D. 6x2y2
5. A simplification of the expression (a+b) ÷ ( 1a + 1b ) gives

a 1
A. B. ab C. a+b D.
b ab
5. Which one of the following is the solution set of the equation

3(x−5) −5
=x ?
7 7
A. {25 } B.{52 } C. {−72 } D. {−52 }

6. The sum of the ages of a mother and her daughter is 60 years. The
mother is three times as old as her daughter .How old is the daughter?
A.15 Years B.12 years C.10 years D.18 years
2 5 8 1
7. What is the solution set of the inequality x− ≤ x− in the set of
3 6 9 3
negative integers?
A.{ 0 , 1 ,2 } B.{−2 ,−1 } C.{−3 ,−2,−1 } D.{−2 ,−1 , 0 , 1 … }

1
19. If √ 5=2.24 ,then what is√ 0.05?
A.22.4 B.0.224 C.224 D.0.0224
20. When √ 2( √ 40−√ 10) is simplified, it is equal to
A.6 √ 5 B.4 √ 5 C.2 √ 5 D.√ 5
21. Which one of the following numbersis neither a perfect square nor a
perfect cube?
A.36 B.-8 C.81 D.32
22. When Fourteen less than five times a number is translated in to an
algebraic expression it is equal to:
A.14-5x B.5x-14 C.5-14x D.5(x-14)
23. Which one of the following is equal to the product (2+3x) (3-x)?
A.6+7x-3x2 B.3x2-7x-6 C.6-7x-3x2 D.3x2+7x-6

6. Which one of the following equations is not equivalent to the equation 10-3
(5x+2)= -11?
A. x-1=0 B. 3x-1=4 C. -2x+3=5 D. 6x-12=6
7. What is the solution set of the equation 5{4+a) = 3 (3a-1)-9?
A. {-8} B. {4} C. {-2} D. {8}
8. If x is a rational number, what is the solution set of the inequality x-4>
2 (-2x+4)+5x?
A. { Χ ∈Q : x <2 } B. { Χ ∈Q : x >2 } C. ∅ D. Q

9. Which one of the following sets describes the set of odd natural numbers
using variables?
A. {2n-1:n∈ N } B. {2n:n∈ N } C. {2n+1:n∈ N } D. {2n-3:n∈ N }
10. When the expression 12ab3-15a2b2+2lab2 is factorized its HCF is equal to:
A. 2a2b B. 3ab2 C. 3a2b2 D. 2ab2
11. For non- zero rational number a, b and c, which of the following statement
is NOT true?
A. a÷ (b+c) = (a÷ b) + (a÷ c) C. (a-b)c= ac –bc
B. [a-(b)] – c= (a+ b)-c D. (a+ b) ÷ c= (a÷ c) + (b÷ c)
2
12. The sum of the ages of a father and his son is 74. Four years ago the
father’s age was twice as old as his son. How old is the father now?
A. 48 B. 44 C. 52 D. 40
3 x +1
13. What is the solution set of the inequality > x+4?
4
A. {x{x>11, x∈Q} C. {x: x<-14. x∈Q}
B. {x: x<-11, x∈Q} D. {x:x∈Q}
14. Which one of the following expression is the highest common factor (HCF)
of the terms 6x2y, 9xy2 and 15x3y2?
A. 6xy B. 3x2y C. 3xy D. 6x2y
1 2 x−5 y
15. If x= - and y= -, then what is the value of ?
2 4 x +15 y
2 1
A. B. 0 C. - D. 2
5 5
16. The solution set of the equation 3 ( x−2

5 ) 2
=x - is:
5
A. {−25 } B. {4} C. {15 } D. {-
2}
17. The perimeter of a rectangular field is 728 meters. If the length of the field
exceeds its width by 8 meters, then what is the length of the field?
A. 186 meters B. 144 meters C. 178 meters D. 182 metes
18. What is the solution set of the inequality -6x-4(x+5) < -8x-24, where x ∈Q +?
A. { } B. {x∈Q + x>2} C. {x∈Q + : x>4} D. {x∈Q + :x<4}
3
19. The following example shows adding and subtracting of algebraic
expression. Example 2(2x-3y) – (4y+2x) -5x
= 4x-6y-4y-2x-5x … (step 1)
=4x-2x-5x-6y-4y … (step 2)
=-3x-10y … (step 3)
hence, step (2) indicates
A. collecting like terms C. simplifying
B. removing brackets D. multiplying
20. Which one of the following expression is the highest common factor (HCF)
of the terms 14 a3b2, 21 ab3 and 35 a2b2?
A. 2 a2b B. 7 ab2 C. 5 a2b2 D. 14 a2b2
21. If x=1 and y=2, then what is the value of 4y (3x-y) +5(3x-y)?
A. 15 B. 9 C. 13 D. 22

22. 10 is added to three times a number. The result is multiplied by 2 and gave the product 50.
What was the original?
A. 6 B. 15 C. 5 D. 10
23. What is the solution set of the equation 2(3x+5)-30=8-2)(x-2)?
A. {3} B. {12 } C. {16 } D. {4}
24. A farmer has sheep and hen. The sheep and hens together have 100 heads and 288 legs. How
many sheep does the farmer have?
A. 44 B. 56 C. 36 D. 64
x+1 2 x
25. What is the solution set of the inequality > in the set of natural numbers?
3 5
A. {1,2} B. {1,2,3,4} C. {1,2,3,4,5} D. {1,2,3}

26. Which pair of algebraic expressions contain like terms?
1
A. -2a2b and 2ba2 C. x2y and -8xy2
2
B. 12p2q3 and –q2 p3 D. -6m3n2 and -4m2n2
27. What is the factorized form of the term: 4ax+12a+2bx+6b?
4
A. (x+4) (3a+2b) C. (3x+4) (a+2b)
B. X+3) (4a+2b) D. (4x+3) (a+2b)
6 x+3 y
28. The value of 2 2 when evaluated at x=2 and y=-1 is
x −y
9
A. B. 2 C. 3 D. 5
5

1. If 4u+5= 5u-30, then which one of the following is the value of u?
A. 145 B. 35 C. 25 D. 15
2. Which one of the following sets is the solution set of 10(x+4) <8x+23?
−17 −17
A. {x:x< } C. {x:x > }
2 2
17 17
B. {x:x> } D. {x:x< }
2 2

3. Which one of the following is the simplified form of the expression given by 4(5-c) -3[8-7(c-2)]?
A. 15-12c B. 13c+11 C. 14c+32 D. 17c-46
4. If the sum of three consecutive numbers is 129, then what is the smallest number from the
three consecutive numbers?
A. 41 B. 42 C. 43 D. 44
5. Which one of the following is equal to the product (x+2y) (x-2y)?
A. x2 – 2xy 4y2 C. x2 – 4xy+ 4y2
B. x2 – 4y2 D. x2 + 4y2
6. The highest common factor of 27a2 x b3 and 75a4 x b is
A. 32 a2 xb2 C. 32 a xb2
B. 3a2 x b D. 3a x b

1. The solution set of the equation 2 ( 2−3 x )=−2−2(x−3) is
A.{−1 } B.{ 1 }
5
C.{ 0 } D. {12 }
2. The cost of one pen and three exercise book is 82 birr. If the pen cost 16 birr lees than the
exercise book, then the price of the pen is
A.6.5 Birr B. 9.5 Birr
C. 8.5 Birr D. 7 Birr
3. The solution set of 3−x<2 x−3 is
A.{ x : x >2 } B.{ x : x ←2 }
C.{ x : x >3 } D.{ x : x <2 }

4. The simplified form of −3 ( x 2 y + x +2 ) + x (3 xy +3) is
A.4 x 2 y−3 x +3 B.4 x 2 y
C.−2 x 2 y + x−3 D.-6
5. Which one of the following is not equal to ¿)( x + xy ¿ ?
A.2 x 2 y−xy 2 +2 x 2 y 2−x y 3
B. x (2 xy− y 2 +2 xy 2− y 3)
C. x 2 y (2− y +2 xy− y 2 )
D. xy (2 x− y +2 xy− y 2 )
6. The highest common factor of 3 6 ( x 3 + x 2) ∧64 x 2 ¿ ?
A.4 ( x ¿ ¿ 3+ x 2) ¿ B.16 ¿
B.4 x 2 ¿ D.4 x 2

Maths 7&8 Unit 2

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Grade 7 2005 E.

C Unit Two Mathematics Unit 2

Grade 8 2005 E.C Unit Two Mathematics Unit 2

3. Which of the following algebraic expressions is not a binomial?

5. A simplification of the expression (a+b) ÷ ( 1a + 1b ) gives

Grade 7 2006 E.C Unit Two Mathematics Unit 2

5. Which one of the following is the solution set of the equation

A. {25 } B.{52 } C. {−72 } D. {−52 }

Grade 8 2006 E.C Unit Two Mathematics Unit 2

Grade 7 2007 E.C Unit Two Mathematics Unit 2

Grade 8 2007 E.C Unit Two Mathematics Unit 2

Grade 8 2008 E.C Unit Two Mathematics Unit 2

Grade 7 2009 E.C Unit Two Mathematics Unit 2

16. The solution set of the equation 3 ( x−2

A. {−25 } B. {4} C. {15 } D. {-

Grade 8 2009 E.C Unit Two Mathematics Unit 2

Grade 7 2010 E.C Unit Two Mathematics Unit 2

A. {3} B. {12 } C. {16 } D. {4}

Grade 8 2010 E.C Unit Two Mathematics Unit 2

Grade 7 2011 E.C Unit Two Mathematics Unit 2

Grade 8 2011 E.C Unit Two Mathematics Unit 2

Grade 7 2013 E.C Unit Two Mathematics Unit 2

Grade 8 2013 E.C Unit Two Mathematics Unit 2

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