Ultimate Exam On Algebra! Trivia Quiz

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1. Evaluate: 24s - 12s

Explanation

The variables in this equation are both s. This means they are like terms and we are able to subtract like a normal subtraction.

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About This Quiz
Ultimate Exam On Algebra! Trivia Quiz - 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... see morefor 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! see less

2. Evaluate: 8y + 5y

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: 8p x 6k

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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4. Simplify: 15y ÷ 3

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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5. Evaluate: 7fg + 2gf

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

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

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

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)

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

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

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

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

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)

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

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

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

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

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)

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)

Explanation

3 x 6 = 18, 3 x 2k = 6k. Therefore the answer is 18 + 6k

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21. 7k + 2k ÷ 2

Explanation

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

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22. Factorise: 3k + 6

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.

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

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

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

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?

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.

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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Evaluate: 24s - 12s
Evaluate: 8y + 5y
Simplify: 8p x 6k
Simplify: 15y ÷ 3
Evaluate: 7fg + 2gf
Find the value of 3k + j when: k = 2, j = 3
Simplify: 8k - 2j + 2k + j
Simplify, where possible: 10k + 2k + 8
Expand the following: -(10 - 2k)
Factorise 9m + 12
4a + 6 -a
Find the value of x - y over k when: x = 20, y = 5, k = 3
Simplify: 3 x 3p
Expand the following: -(3+2m)
Find the value of 8j ÷ k when: j = 8, k = 6
4 over q + 5 over q
Evaluate: 9jk - kj + 5jk
6 x 5k - 2k
Expand the following: 3(t -3)
Expand the following: 3(6 + 2k)
7k + 2k ÷ 2
Factorise: 3k + 6
Simplify: w over 4 + 2w over 4.
P over 8 - 5 over 8
33kjp ÷ 11pj
 2 over x times 3 over x
What is the solution to the equation 3x + 5 = 14?
Simplify: d over e times e over g.
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