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