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

This Math quiz is called 'Algebra - Formulae' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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There are many different definitions for the word formula but the one we like best is: 'two mathematical expressions connected by an equals sign'.

This Algebra quiz allows you to dip your Math toe in the formulae water.......off you go!

1. What is the plural of formula?
 [ ] Formulants [ ] Formulas and formulae [ ] Formulents [ ] Formuleses
2. What is a 'variable'?
 [ ] A division sign [ ] A letter or symbol representing a varying quantity [ ] A multiplication sign [ ] An equals sign
3. Which sign must be contained in a formula?
 [ ] + [ ] - [ ] x [ ] =
4. You are given the formula a = 2b and you are told that the value of b is 4. What is the value of a?
 [ ] 2 [ ] 4 [ ] 6 [ ] 8
5. You are given the formula x - 2 = c and you are told that the value of c is 28. What is the value of x?
 [ ] 26 [ ] 28 [ ] 30 [ ] 32
6. a2 + b2 = 25. If a = 3 then what is the value of b?
 [ ] 4 [ ] 5 [ ] 6 [ ] 7
7. If a2 = 6b and a has the value of 6, what is the value of b?
 [ ] 3 [ ] 6 [ ] 9 [ ] 12
8. If a = 2 and b = 5, which of the following formula is correct?
 [ ] 2a + 6b = 31 [ ] 3a + b2 = 31 [ ] 4a + 6b - 2b = 31 [ ] 5a x 2b = 31
9. The perimeter of a rectangle is twice its length plus twice its width; this can be represented as p = 2l + 2w. What is the perimeter if l = 12cm and w = 6cm?
 [ ] 18 cm [ ] 24 cm [ ] 36 cm [ ] 48 cm
10. A cyclist travels at a constant m miles per hour. How far has he traveled in 4 hours?
 [ ] 4m [ ] 6m [ ] 8m [ ] 10m Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Formulae (Answers)
1. What is the plural of formula?
 [ ] Formulants [x] Formulas and formulae [ ] Formulents [ ] Formuleses
Either can be used
2. What is a 'variable'?
 [ ] A division sign [x] A letter or symbol representing a varying quantity [ ] A multiplication sign [ ] An equals sign
3. Which sign must be contained in a formula?
 [ ] + [ ] - [ ] x [x] =
Remember that all formulae contain an equals sign
4. You are given the formula a = 2b and you are told that the value of b is 4. What is the value of a?
 [ ] 2 [ ] 4 [ ] 6 [x] 8
2b = 2 x 4. We have been told that a = 2b and therefore a must be 8
5. You are given the formula x - 2 = c and you are told that the value of c is 28. What is the value of x?
 [ ] 26 [ ] 28 [x] 30 [ ] 32
30 - 2 = c. Sometimes you have to work backwards in order to find the answer
6. a2 + b2 = 25. If a = 3 then what is the value of b?
 [x] 4 [ ] 5 [ ] 6 [ ] 7
7. If a2 = 6b and a has the value of 6, what is the value of b?
 [ ] 3 [x] 6 [ ] 9 [ ] 12
In this case you have two variables (a and b) and there is no reason why they cannot both have the same value - in this case 6
8. If a = 2 and b = 5, which of the following formula is correct?
 [ ] 2a + 6b = 31 [x] 3a + b2 = 31 [ ] 4a + 6b - 2b = 31 [ ] 5a x 2b = 31
Don't worry, you will NOT normally be presented with formulae that don't add up!
9. The perimeter of a rectangle is twice its length plus twice its width; this can be represented as p = 2l + 2w. What is the perimeter if l = 12cm and w = 6cm?
 [ ] 18 cm [ ] 24 cm [x] 36 cm [ ] 48 cm
Perimeter means 'all the way around the outside'
10. A cyclist travels at a constant m miles per hour. How far has he traveled in 4 hours?
 [x] 4m [ ] 6m [ ] 8m [ ] 10m