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Maths · Grade 6 · Set A
Terms, Factors, Coefficients
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A
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Remember: Terms are added. Factors are multiplied. A coefficient is the number factor that multiplies a letter.

Name the parts

1
A pen costs x dollars. The total for 8 pens and a card is 8x + 5. What is the coefficient of x? Answer:
2
How many terms does 9 + 4p have?
123
3
In 7y + 2, the number 7 is called the
variablesumcoefficientdifference
4
In 6 + 4k, the terms are 6 and 4k.
TrueFalse
5
Look at 4m + 7. Join each name to the part it names.
  1. 1the coefficient
  2. 2the letter
  3. 3the term with a letter
  4. 4the term that is only a number
  • A4
  • B7
  • C4m
  • Dm

Factors

6
The picture shows 3 × (4 + 8). Which numbers are the factors of this product?
3, 4 and 83 and (4 + 8)4 and 812 only
7
Circle both factors of the product (6 + 4) × 2. (circle every one)
264(6 + 4)
8
In 29 − 3 × 4, the terms are 29 and 3 × 4. What is the value of the term 3 × 4? Answer:
9
In 5 × 12 + 10, the 10 is a factor.
TrueFalse

Stretch

10
Which expression has exactly three terms?
5 + 3xx + 2x + 94(x + 1)8n
11
In 7(2n + 3), the second factor is 2n + 3. How many terms are in that factor? Answer:
12
Write an expression with two terms and a coefficient of 5.
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Answer key · Set A
Terms, Factors, Coefficients
18 The coefficient is the number factor that multiplies the letter. In 8x it is 8.
22 A term is added or taken away. 9 is one term and 4p is the other.
3coefficient The 7 multiplies the letter y, so it is the coefficient of y.
4True Terms are the parts that are added: 6 and 4k.
51-A, 2-D, 3-C, 4-B 4m is a term made of the factors 4 and m. The 7 is a term with no letter.
63 and (4 + 8) A sum in brackets counts as one factor. The factors are 3 and (4 + 8), which is 12.
72, (6 + 4) The times sign joins 2 and the whole sum (6 + 4). The 6 and 4 sit inside one factor.
812 3 × 4 = 12. It is one term, taken away from 29.
9False The 10 is added, so it is a term. The factors of the product 5 × 12 are 5 and 12.
10x + 2x + 9 x, 2x and 9 are added, so there are three terms. 4(x + 1) is one product.
112 2n and 3 are added, so the factor has two terms.
12Your own words: a grown-up reads it.
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