Ultimate Exam On Algebra! Trivia Quiz

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  • 1/28 Questions

    Evaluate: 24s - 12s

    • 36s
    • 2
    • 2s
    • 12s squared
    • 12s
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About This Quiz

Can you pass the ultimate exam on algebra? Algebra is interesting because either you love it or hate it. It is a branch of mathematics that substitutes letters for numbers, and an algebraic equation represents a scale where what is accomplished on one side is done to the other side, and the numbers act like consonants. So have some Phi, take this quiz and see if you are an algebra whiz!

Ultimate Exam On Algebra! Trivia Quiz - Quiz

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  • 2. 

    Evaluate: 8y + 5y

    • 12y squared

    • -3y

    • 13y

    • 40y

    • 40y squared

    Correct Answer
    A. 13y
    Explanation
    When adding and subtracting in algebraic expressions, you are only able to add and subtract like terms. These are terms in which the variables are exactly the same. In this question, 8y + 5y, the variables are y and are both the same, therefore we can just add them together as a normal addition to get 13y.

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  • 3. 

    Simplify: 15y ÷ 3

    • 5

    • 45y

    • 18y

    • 5y

    • 3y

    Correct Answer
    A. 5y
    Explanation
    When dividing, the algebraic expression is usually written as a fraction. In this case, we put 15y over 3 and find that it cancels to 5y.

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  • 4. 

    Simplify: 8p x 6k

    • 48

    • 2kp

    • 14kp

    • 64kp

    • 48kp

    Correct Answer
    A. 48kp
    Explanation
    The 8 and six were multiplied together and then along with it the p and k. In algebra, when multiplying algebraic expressions, we use shorthand notation. So, instead of writing k x p, we write kp.

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  • 5. 

    Evaluate: 7fg + 2gf

    • 9gf

    • 14fg squared

    • 5gf

    • 3gf

    • 9

    Correct Answer
    A. 9gf
    Explanation
    The variables in this question are also the same, being g and f. It does not matter which way around the variables is written, as long as they are both there. We then add like normal to get 9gf - 9fg is also acceptable.

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  • 6. 

    Find the value of 3k + j when: k = 2, j = 3

    • 6

    • 11

    • 9

    • 5

    • 10

    Correct Answer
    A. 9
    Explanation
    The first thing you should be doing is substituting the given values into the expression. For this question, you say 3 x 2 + 3. This equals 9.

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  • 7. 

    Simplify: 8k - 2j + 2k + j

    • 7j + k

    • -16kj + 2kj

    • 10k - j

    • 12k - 2j

    • 7j

    Correct Answer
    A. 10k - j
    Explanation
    We need to collect like terms in this algebraic expression. We change the expression to suit us. This means it will look like 8k + 2k -2j + j. 8k + 2k = 10k. -2j + j = -j. Therefore the answer is 10k - j.

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  • 8. 

    Simplify, where possible: 10k + 2k + 8

    • 20k

    • 20k + 8

    • 12k + 8

    • 12k squared + 8

    • 26k

    Correct Answer
    A. 12k + 8
    Explanation
    First, we need to collect all our like terms. The only things we can add in this algebraic expression is 10k and 2k. This will leave us with the expression 12k + 8. Because 12k and 8 are not like terms, we cannot do anything else to simplify the answer.

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  • 9. 

    Expand the following: -(10 - 2k)

    • 12k

    • 10 + -2k

    • -10 + 2k

    • 20k

    • 5k

    Correct Answer
    A. -10 + 2k
    Explanation
    The expression can be written as -1(10 - 2k). -1 x 10 = -10, -1 x -2k = 2k (A negative number multiplyed by a negative number will equal a positive number). This gives us the answer -10 + 2k.

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  • 10. 

    Factorise 9m + 12

    • 3 (3m + 4)

    • 3 (3 + 4)

    • 1 (9m + 12)

    • 1 (9 + 12)

    • 4 (2m + 3)

    Correct Answer
    A. 3 (3m + 4)
    Explanation
    To be able to factorize algebraic expressions, you need to find the HCF (highest common factor) In this equation the highest common factor is 3, so you put it outside the brackets. You find 3 needs to be multiplied by to get to 9m. The answer is 3m, so you put that in the brackets. Now you find what you need to do to get from 3 to 12. The answer is multiplied by positive 4. Inside the brackets now is 3m + 4. C is not correct because 1 is NOT the HCF.

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  • 11. 

    4a + 6 -a

    • 3a + 12

    • 5a + 6

    • 3a + 6

    • 4a + -6

    • -4a + 6

    Correct Answer
    A. 3a + 6
    Explanation
    4a and -a are our like terms in this algebraic expression. You can reword the question so -a is -1a. You then subtract 1a from 4a, to give the expression 3a + 6. These terms are not like and you can not do anything to simplify it more.

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  • 12. 

    Find the value of x - y over k when: x = 20, y = 5, k = 3

    • 8

    • 7

    • 15

    • 5

    • 3

    Correct Answer
    A. 5
    Explanation
    The first thing you are doing is substituting the given values into the expression. This gives us 20 - 5 all over 3. This is equal to 15 ÷ 3, which gives us the answer 5.

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  • 13. 

    Simplify: 3 x 3p

    • 27p

    • 9p squared

    • 3p

    • 3p squared

    • 9p

    Correct Answer
    A. 9p
    Explanation
    The terms do not have to be like to be able to multiply in algebra.

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  • 14. 

    Expand the following: -(3+2m)

    • 3 + 2m

    • 2m

    • -3 -2m

    • 6m

    • -6m

    Correct Answer
    A. -3 -2m
    Explanation
    You can change the question so it reads -1(3+2m). -1 x 3 = -3 and -1 x 2m = -2m. This gives us the answer -3 -2m

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  • 15. 

    Find the value of 8j ÷ k when: j = 8, k = 6

    • 8

    • 11

    • 10

    • 10 and two thirds

    • 64

    Correct Answer
    A. 10 and two thirds
    Explanation
    First you must again subsititude the given values into the expression. This gives us 8 x 8 ÷ 6. 64 ÷ 6 is 10 and 2 thirds.

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  • 16. 

    4 over q + 5 over q

    • 9 over q

    • Q over 9

    • 20 over q

    • 20 over q squared

    • -1 over q

    Correct Answer
    A. 9 over q
    Explanation
    The denominators are the same, so we are able to simply add the numerators together.

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  • 17. 

    Evaluate: 9jk - kj + 5jk

    • 40jk

    • 13jk

    • 14jk

    • 46jk

    • 45kj

    Correct Answer
    A. 13jk
    Explanation
    If we look at the algebraic expression, we can see that they have all like terms. If there is no numeral in front of the variable, you know that it is 1. Therefore the algebraic expression changes to 9jk - 1kj + 5jk, giving us the answer of 13jk.

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  • 18. 

    6 x 5k - 2k

    • 20k

    • 18k

    • 30k

    • 2k

    • 28k

    Correct Answer
    A. 28k
    Explanation
    Using BODMAS, you multiply 5k by six, equalling 30k. 30k minus 2k = 28k.

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  • 19. 

    Expand the following: 3(t -3)

    • 3t - 3

    • 3t - 9

    • -6t

    • 3t + 3

    • 3t + 9

    Correct Answer
    A. 3t - 9
    Explanation
    The value outside the brackets needs to be multiplied by everything inside the brackets. 3 x t = 3t and 3 x -3 = -9. This gives the resulting answer 3t - 9.

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  • 20. 

    Expand the following: 3(6 + 2k)

    • 24

    • 12k

    • 18k + 6

    • 24k

    • 18 + 6k

    Correct Answer
    A. 18 + 6k
    Explanation
    3 x 6 = 18, 3 x 2k = 6k. Therefore the answer is 18 + 6k

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  • 21. 

    7k + 2k ÷ 2

    • 7k

    • 8k

    • 6k

    • 10k

    • 14k

    Correct Answer
    A. 8k
    Explanation
    Using BODMAS, you do 2k ÷ 2 first, which equals k. 7k + k = 8k.

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  • 22. 

    Factorise: 3k + 6

    • 3 (k + 6)

    • 1 (3k + 6)

    • 3 (k + 2)

    • 3 (k + 18)

    • 3 (2k + 2)

    Correct Answer
    A. 3 (k + 2)
    Explanation
    First, you find the highest common factor, which is 3. You then factorize by using the previous question's explanation.

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  • 23. 

    Simplify: w over 4 + 2w over 4.

    • 3w over 4

    • 4 over 3w

    • 3 over 4

    • 3 over 4w

    • 2w over 4

    Correct Answer
    A. 3w over 4
    Explanation
    The denominators are same, so we are able to add the two terms together.

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  • 24. 

    P over 8 - 5 over 8

    • P over 8 - 5 over 8

    • P - 5 over 8

    • 8 over p - 5

    • P + 5 over 8

    • 5p over 8

    Correct Answer
    A. P - 5 over 8
    Explanation
    The denominators are the same, so we are able to subtract the two, but since they are not like terms we leave it as p -5 over 8.

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  • 25. 

    33kjp ÷ 11pj

    • 3jkp

    • 11jkp

    • 3k

    • 3pj

    • 3k squared

    Correct Answer
    A. 3k
    Explanation
    When dividing, the algebraic expression is usually written as a fraction. This would be written as 33kjp over 11pj. You can instantly see that 33 ÷ 11 is 3, and the p and j cancel each other out. This leaves us with 3k.

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  • 26. 

     2 over x times 3 over x

    • X squared

    • 6

    • 3 x 2

    • 6 over x squared

    • 6 over x

    Correct Answer
    A. 6 over x squared
    Explanation
    We multiply 3 by 2 and x by x. This leaves us with 6 over x squared.

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  • 27. 

    What is the solution to the equation 3x + 5 = 14?

    • X = 1 

    • X = 3 

    • X = 6 

    • X = 9

    Correct Answer
    A. X = 3 
    Explanation
    To solve for 'x', we need to isolate it. First, subtract 5 from both sides of the equation: 3x + 5 - 5 = 14 - 5. This simplifies to 3x = 9. Next, divide both sides by 3: 3x / 3 = 9 / 3. This gives us x = 3. Therefore, the solution to the equation 3x + 5 = 14 is x = 3.

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  • 28. 

    Simplify: d over e times e over g.

    • De over eg

    • D over g

    • G over d

    • Eg over de

    • Ed over eg

    Correct Answer
    A. D over g
    Explanation
    We multiply d and e together, and e and g together. This gives us de over eg. We can cancel out the e's to give us d over g.

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  • Current Version
  • Jan 13, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • May 20, 2009
    Quiz Created by
    Shanecee
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