Track quiz
Ten questions, one for each idea. Read the table first.
| Move | How it goes |
|---|---|
| Split a term | Coefficient in front, then a letter part if there are letters. |
| Join same kinds | Add the coefficients. The letter part does not change. |
| Term times term | Multiply coefficients, write letters side by side. |
| Into a bracket | The term outside reaches every term inside. |
| Bracket times bracket | Every term of one meets every term of the other. |
| Square a sum | a² + 2ab + b². The two rectangles are real pieces. |
| Difference of squares | (a + b)(a − b) = a² − b². |
| Take a factor out | Divide by what every term shares. Write it outside. |
| Put a number in | Work both forms out and compare. |
| A trick as a line | Name the number. Write each step. Join like terms. |
What is the coefficient of the term −7m?
Four dates in a calendar square add to 4a + 16. What is the sum when a = 12?
What does 4b × 5b come to?
What does 3y(2y + 7) open out to?
What does (x + 4)(x + 6) come to?
A square is drawn on a side of 8 + 1. What is its area?
What is the quickest route to 101 × 99?
What is the largest thing that can be taken out of 9t² + 15t?
You open an expression out. Both forms give 9 when the letter is 3. What has that shown?
Think of a number x. Multiply by 5. Add 15. Divide by 5. Take away x. What is left?
Your book calls this Part II, Chapter 6. Its name is Algebra Play. Use the checking habit there.
Next: Area. It measures shapes, and it asks which length is the real height.