Number Sense - Polynomials
1) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expressions.6x
- Number of terms = 1 Coefficient of x = 6 Constant =Nil
- Number of terms = 1 Coefficient of x = Nil Constant =Nil
- Number of terms = Nil Coefficient of x = 1 Constant = 6
- Number of terms =1 Coefficient of x = Nil Constant = 6
Answer: Number of terms = 1 Coefficient of x = 6 Constant =Nil
2) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expressions. 3x +5y
- Number of terms = 2 Coefficient of x = 3 Constant = Nil
- Number of terms =Nil Coefficient of x = 2 Constant = Nil
- Number of terms =1 Coefficient of x = 3 Constant = Nil
- Number of terms =2 Coefficient of x = Nil Constant = 3
Answer: Number of terms = 2 Coefficient of x = 3 Constant = Nil
3) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 4x² - 7x +5
- Number of terms = 3 Coefficient of x = -7 Constant = 5
- Number of terms =3 Coefficient of x = Nil Constant = Nil
- Number of terms =2 Coefficient of x = 4 Constant = 2
- Number of terms =Nil Coefficient of x = 4 Constant = Nil
Answer: Number of terms = 3 Coefficient of x = -7 Constant = 5
4) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 16 +5x
- Number of terms = 3 Coefficient of x = 7 Constant =6
- Number of terms = 4 Coefficient of x = 5 Constant = 6
- Number of terms = 2 Coefficient of x =5 Constant =16
- Number of terms =1 Coefficient of x = 5 Constant = 6
Answer: Number of terms = 2 Coefficient of x =5 Constant =16
5) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 4x³ -7x + 2x² - 8
- Number of terms = 2 Coefficient of x =-9 Constant =-4
- Number of terms = 4 Coefficient of x =-7 Constant =-8
- Number of terms = 5 Coefficient of x =-4 Constant =NIL
- Number of terms = 2 Coefficient of x =-7 Constant =-7
Answer: Number of terms = 4 Coefficient of x =-7 Constant =-8
6) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 2x – 3y + 7
- Number of terms = 2 Coefficient of x = 3 Constant = -3
- Number of terms = Nil Coefficient of x = 4 Constant = Nil
- Number of terms = 3 Coefficient of x = 2 Constant = 7
- Number of terms = 2 Coefficient of x = 3 Constant = 2
Answer: Number of terms = 3 Coefficient of x = 2 Constant = 7
7) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 7x² – 6x + 5
- Number of terms = 2 Coefficient of x = 5 Constant = -6
- Number of terms = 3 Coefficient of x = Nil Constant = Nil
- Number of terms = 3 Coefficient of x = -6 Constant = 5
- Number of terms = 2 Coefficient of x = -6 Constant = Nil
Answer: Number of terms = 3 Coefficient of x = -6 Constant = 5
8) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 3x - 5 + 7y
- Number of terms = 5 Coefficient of x = -5 Constant = -5
- Number of terms = 2 Coefficient of x = 2 Constant = 7
- Number of terms = 3 Coefficient of x = Nil Constant = Nil
- Number of terms = 3 Coefficient of x = 3 Constant = -5
Answer: Number of terms = 3 Coefficient of x = 3 Constant = -5
9) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 7x² – 2y² – 2
- Number of terms = 4 Coefficient of x = Nil Constant = 7
- Number of terms = 3 Coefficient of x = Nil Constant = -2
- Number of terms = 3 Coefficient of x = Nil Constant = Nil
- Number of terms = 4 Coefficient of x = 7 Constant = -2
Answer: Number of terms = 3 Coefficient of x = Nil Constant = -2
10) Write down the number of terms, coefficient of x (if any) and constant (if any) of the following expression. 9 - 2x
- Number of terms = 1 Coefficient of x = -2 Constant = 9
- Number of terms = 1 Coefficient of x = Nil Constant = Nil
- Number of terms = 2 Coefficient of x = -2 Constant = 9
- Number of terms = 9 Coefficient of x = Nil Constant = Nil
Answer: Number of terms = 2 Coefficient of x = -2 Constant = 9
11) Simplify the following expression : -3p + 6p
- 3p
- 1p
- -3p
- 6p
Answer: 3p
12) Simplify the following expression : b - 3 + 6 - 2b
- -b + 3
- -2 + 3b
- b + 3
- b² + 3
Answer: -b + 3
13) Simplify the following expression : 7p - 10p
- p² - 3
- 3p
- 7p
- -3p
Answer: -3p
14) Simplify the following expression : - 10v + 6v
- -4v
- 4v
- 6v
- -10v
Answer: -4v
15) Simplify the following expression : - 9r + 10r
- 10r
- -1r
- r
- r²
Answer: r
16) Simplify the following expressions: 9 + 5r - 9r
- 4r -9
- r(4-9)
- -4 +9
- -4r +9
Answer: -4r +9
17) Simplify the following expressions: 1 - 3v + 10
- 2v +10
- 2v -9
- v +10
- -3v + 11
Answer: -3v + 11
18) Simplify the following expressions: 4b + 6 - 4
- b +2
- 10b -4
- 4b + 2
- 4b -2
Answer: 4b + 2
19) Simplify the following expressions: 35n - 1 + 46
- 36n + 45
- 35n + 45
- 34n + 46
- 35n - 45
Answer: 35n + 45
20) Simplify the following expressions: -33v - 49v
- -82v
- -49v
- 33v
- 8v
Answer: -82v
21) Expand and simplify where ever necessary: -5(-4 + 8m) - 13
- 5 + 41m
- 9 + 19m
- 9 + 18m
- 7 - 40m
Answer: 7 - 40m
22) Expand and simplify where ever necessary: 17 - 8(-11 + 4b)
- 105 - 32b
- 85 + 11b
- 95 + 30b
- 10 - 11b
Answer: 105 - 32b
23) Expand and simplify where ever necessary: -9(7k -19) + 11k
- 51k +170
- -52k +171
- k +11
- 7k +18k
Answer: -52k +171
24) Expand and simplify where ever necessary: 4x + 12(-17x + 8)
- 150x + 93
- 90x + 85
- 85x + 70
- -200x + 96
Answer: -200x + 96
25) Expand and simplify where ever necessary: 13 + 4(-3m + 14)
- 10m + 93
- -10m + 83
- -20m + 70
- -12m + 69
Answer: -12m + 69
26) Expand and simplify where ever necessary: -2m + 3(6m - 16)
- 15m + 40
- 13m - 48
- 17m - 40
- 16m - 48
Answer: 16m - 48
27) Expand and simplify where ever necessary: 6(-5h - 13) + 2
- -30h - 76
- 30h + 73
- 32h + 76
- 25 h - 70
Answer: -30h - 76
28) Expand and simplify where ever necessary: -10(4n - 3) + 13
- 20n + 45
- 35n + 40
- 23n + 36
- -40n + 43
Answer: -40n + 43
29) Expand and simplify where ever necessary: 18(13 - 2z) + 11z
- 230 - 27z
- 200 - 24z
- 234 - 25z
- 223 - 25z
Answer: 234 - 25z
30) Expand and simplify where ever necessary: 16 - 4(-18 - 2p)
- 83 + 3P
- 82 + 7P
- 88 + 8p
- 80 + 5p
Answer: 88 + 8p