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

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Algebra often substitutes letters for numbers. Where we could put a number we put a letter instead. Most advanced math relies on algebra so think of this quiz as a springboard into other exciting things!

Try your hand at Getting Started in Algebra.

1. Which of these is a single 'term'?
[ ] 2a
[ ] 2a + b2
[ ] 3a + 2b
[ ] 3a + b + c
2. Which of these is an 'expression'?
[ ] 3x
[ ] 3x + 4y
[ ] 3x + 4y2
[ ] All of the above
3. Which of these is not an 'equation'?
[ ] 3x = 7
[ ] 4x2 - 6 = 28
[ ] 4x + 5y + 6z
[ ] 5x = 6y
4. What is the meaning of 4x
[ ] 4 divided by x
[ ] 4 minus x
[ ] 4 plus x
[ ] 4 times x
5. One of the following would never be written - which one?
[ ] x + y
[ ] 1x + y
[ ] 3x + 2y
[ ] 4x - 6y
6. Peter has x oranges and Joe has three more oranges than Peter. How would we write the number of oranges that Joe has?
[ ] 3x
[ ] x + 3
[ ] x + x + x + x
[ ] x3
7. Jane has y candies and Lisa has two candies less than Jane. How would we write the number of candies that Lisa has?
[ ] 2y
[ ] -2y
[ ] y - 2
[ ] y - y - y
8. There are n boys in a football team. How would we write the number of boys in four football teams?
[ ] n x n x n x n
[ ] 4 + n
[ ] n + 4
[ ] 4n
9. Sam has x guinea pigs, Paul has y guinea pigs and Joseph has z guinea pigs. We know that Sam and Paul together have the same number of guinea pigs as Joseph. How would we write this?
[ ] x + y = z
[ ] xyz
[ ] 2x + y
[ ] x - y = z
10. Thomas has x marbles and Richard has only one third as many. How would we write the number of marbles that Richard has?
[ ] x + 3
[ ] x - 3
[ ] x / 3
[ ] 3x
Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Getting Started (Answers)
1. Which of these is a single 'term'?
[x] 2a
[ ] 2a + b2
[ ] 3a + 2b
[ ] 3a + b + c
2a is a 'term', the other answers contain more than one 'term'
2. Which of these is an 'expression'?
[ ] 3x
[ ] 3x + 4y
[ ] 3x + 4y2
[x] All of the above
An 'expression' contains one or more terms
3. Which of these is not an 'equation'?
[ ] 3x = 7
[ ] 4x2 - 6 = 28
[x] 4x + 5y + 6z
[ ] 5x = 6y
An 'equation' always contains an = sign
4. What is the meaning of 4x
[ ] 4 divided by x
[ ] 4 minus x
[ ] 4 plus x
[x] 4 times x
Numbers and letters 'joined together' means multiply them together
5. One of the following would never be written - which one?
[ ] x + y
[x] 1x + y
[ ] 3x + 2y
[ ] 4x - 6y
Instead of writing '1x' you would write 'x' instead
6. Peter has x oranges and Joe has three more oranges than Peter. How would we write the number of oranges that Joe has?
[ ] 3x
[x] x + 3
[ ] x + x + x + x
[ ] x3
7. Jane has y candies and Lisa has two candies less than Jane. How would we write the number of candies that Lisa has?
[ ] 2y
[ ] -2y
[x] y - 2
[ ] y - y - y
8. There are n boys in a football team. How would we write the number of boys in four football teams?
[ ] n x n x n x n
[ ] 4 + n
[ ] n + 4
[x] 4n
The correct answer means the same as n + n + n + n
9. Sam has x guinea pigs, Paul has y guinea pigs and Joseph has z guinea pigs. We know that Sam and Paul together have the same number of guinea pigs as Joseph. How would we write this?
[x] x + y = z
[ ] xyz
[ ] 2x + y
[ ] x - y = z
10. Thomas has x marbles and Richard has only one third as many. How would we write the number of marbles that Richard has?
[ ] x + 3
[ ] x - 3
[x] x / 3
[ ] 3x