 # Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Linear Brackets (Questions)

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You need to 'get-rid' of two sets of adjoining brackets so that you can work out the values of the terms within the brackets. Each term in the first bracket needs to be multiplied by each term in the second bracket. Try this Math quiz on Linear Brackets.

1. What is a times a?
 [ ] a2 [ ] a2 [ ] 2a [ ] a x 2
2. What is x3 times x5?
 [ ] 15x [ ] 8x [ ] x3 + 5 [ ] x8
3. What is x8 / x6?
 [ ] 2x [ ] x2 [ ] x4 [ ] x6
4. How else could you represent x6 + x8?
 [ ] x14 [ ] x6 [ ] x8 [ ] None of the above
5. What are the four terms derived from the following linear brackets (x + 3)(x - 4)?
 [ ] x2 - 4x - 3x - 12 [ ] x2 - 4x + 3x - 12 [ ] x2 - 4x + 3x + 12 [ ] x2 + 4x + 3x - 12
6. What are the 4 terms derived from the following linear brackets (x - 3)(x - 4)?
 [ ] x2 - 4x - 3x - 12 [ ] x2 - 4x - 3x + 12 [ ] x2 - 4x + 3x + 12 [ ] x2 + 4x - 3x + 12
7. What are the 4 terms derived from the following linear brackets (a - 1)(a - 6)?
 [ ] a2 - 6a - a - 6 [ ] a2 - 6a + a + 6 [ ] a2 + 6a - a + 6 [ ] a2 - 6a - a + 6
8. What are the 4 terms derived from the following linear brackets (x - 7)(x + 9)?
 [ ] x2 + 9x - 7x + 63 [ ] x2 + 9x + 7x - 63 [ ] x2 + 9x - 7x - 63 [ ] x2 - 9x - 7x - 63
9. The anwer to question 5 above was x2 - 4x +3x - 12. How could this be simplified?
 [ ] 2x - 7x - 12 [ ] x2 - x - 12 [ ] x2 - 7x + 12 [ ] x2 + 7x - 12
10. The answer to question 8 above was x2 + 9x - 7x - 63. How could this be simplified?
 [ ] 2x + 2x - 63 [ ] x2 - 2x - 63 [ ] x2 + 2x - 63 [ ] x2 + 2x + 63 Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Linear Brackets (Answers)
1. What is a times a?
 [x] a2 [ ] a2 [ ] 2a [ ] a x 2
A letter multiplied by itself gives us the square of the letter
2. What is x3 times x5?
 [ ] 15x [ ] 8x [ ] x3 + 5 [x] x8
When multiplying powers, we add them together
3. What is x8 / x6?
 [ ] 2x [x] x2 [ ] x4 [ ] x6
When dividing powers we take one from the other
4. How else could you represent x6 + x8?
 [ ] x14 [ ] x6 [ ] x8 [x] None of the above
If you add powers together you multiply and if you deduct powers you divide. You would need to know the value of x in order to represent it in another way after adding or subtracting
5. What are the four terms derived from the following linear brackets (x + 3)(x - 4)?
 [ ] x2 - 4x - 3x - 12 [x] x2 - 4x + 3x - 12 [ ] x2 - 4x + 3x + 12 [ ] x2 + 4x + 3x - 12
Two like terms (+ and + or - and -) will equal a plus; two unlike terms (+ and -) will equal a minus
6. What are the 4 terms derived from the following linear brackets (x - 3)(x - 4)?
 [ ] x2 - 4x - 3x - 12 [x] x2 - 4x - 3x + 12 [ ] x2 - 4x + 3x + 12 [ ] x2 + 4x - 3x + 12
Don't forget a minus times a minus equals a plus but a minus times a plus equals a minus
7. What are the 4 terms derived from the following linear brackets (a - 1)(a - 6)?
 [ ] a2 - 6a - a - 6 [ ] a2 - 6a + a + 6 [ ] a2 + 6a - a + 6 [x] a2 - 6a - a + 6
8. What are the 4 terms derived from the following linear brackets (x - 7)(x + 9)?
 [ ] x2 + 9x - 7x + 63 [ ] x2 + 9x + 7x - 63 [x] x2 + 9x - 7x - 63 [ ] x2 - 9x - 7x - 63
9. The anwer to question 5 above was x2 - 4x +3x - 12. How could this be simplified?
 [ ] 2x - 7x - 12 [x] x2 - x - 12 [ ] x2 - 7x + 12 [ ] x2 + 7x - 12
'Simplifying' an expression means 'gathering together' all the 'like units'. For instance x + 2x becomes 3x; 4a - 5a becomes -a etc.
10. The answer to question 8 above was x2 + 9x - 7x - 63. How could this be simplified?
 [ ] 2x + 2x - 63 [ ] x2 - 2x - 63 [x] x2 + 2x - 63 [ ] x2 + 2x + 63