Like Terms in Algebra

Grade 7 Maths Questions and Problems With Answers

Grade 7 maths multiple choice questions on like terms in algebra with answers are presented.

What are like terms in Algebra?
Like terms in algebra are terms containing the same variables raised to the same exponent (or power). Like terms may have different coefficients.
Example 1
2 x , -3 x , (1/2) x , 0.1 x are all like terms since they contain the same (one) variable x to the same power 1.(Remember x = x
1)
Example 2
2 x and -4 x
2 are not like terms since they contain the same (one) variable x but not to the same power: the power of x in the term 2 x is equal to 1 and the power of x in the term -4 x2 is 2.
Example 3
- (1/2) x y
2 and 8 x y2 are like terms since they contain the same variable x and y to the same power: the power of x is 1 in both terms and the power of y is 2 in both terms.
Example 4
5 x
3 y2 , -11 x y2 are not like terms since they contain the same variable x and y BUT not to the same power: the power of x in the term 5 x3 y2 is 3 and the power of x in the term -11 x y2 is 1.
Multiple Choice Questions

  1. Which of the lists below contains like terms only?
    1. 2x , -3x2 , -x y , 1/x
    2. - x , 3 x , 4
    3. -x , x , 4x , 0.2 x , (1/4) x
    4. x , -3 , 99 x , 9



  2. Which of the terms below is a like term to - 6 x y?
    1. - 6 x
    2. - 6 x y2
    3. - 6 x y-1
    4. - 10 x y



  3. Which of the lists below contains unlike (not like) terms?
    1. 2x , -3x , -x , 0.01 x
    2. x , 5x2 , 99 x y , 9
    3. -x , x , 4x , 0.2 x , (1/4) x
    4. - 2 , 7 , 4 , 89



  4. Which of the lists below contains like terms only?
    1. 6x , -3x2 , - 10 x y , 1/x
    2. - x , 3 x , 4
    3. x y , -3 x y , 0.002 x , (1/4) x y
    4. x y , -3 x y , 0.002 x y , (1/4) x y



  5. Which of the terms below is a like term to - x2 y?
    1. - 4 y x2
    2. - x y2
    3. - 8 y x-2
    4. - x y



  6. Which of the terms below is a NOT a like term to 3 x y2?
    1. - 4 y2 x
    2. - (1/6) x y2
    3. - 8 x y-2
    4. 0.00001 x y2



  7. Which of the lists below contains unlike (not like) terms?
    1. 2 y2 x2 , -3 x2 y2 , x2 y2 , 0.09 y2 x2
    2. x2 y2 , 7 x2 y, 99 x y , 11
    3. - 4 x , x , 4.5 x , 12 x , (1/8) x
    4. - 11 , 0.002 , 1/2 , 4.5



  8. Which of the lists below contains like terms only?
    1. 3 x2 y3 , -3 y2 x3 , - 10 y2 x3 , 1/y2 x3
    2. - x , 3 x2 , 4 y2 x2
    3. x y , -3 x2 y2 , 0.002 x , (1/4) x y
    4. - x3 y3 , -3 y3 x3 , 0.04 x3 y3 , 1.2 x3 y3



  9. Of the four terms below which is not a like term to the three others?
    1. - y4 x
    2. - (1/2) x y4
    3. - y4 x4
    4. - 12 y4 x



  10. Which of the terms below is a NOT a like term to -9?
    1. - 4.99 y0
    2. - (1/6)
    3. - 0.007
    4. - 9 x


Answers to the Above Questions

  1. C
  2. D
  3. B
  4. D
  5. A
  6. C
  7. B
  8. D
  9. C
  10. D
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