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 = Nil Constant =Nil
•   Number of terms = Nil Coefficient of x = 1 Constant = 6
•   Number of terms = 1 Coefficient of x = 6 Constant =Nil
•   Number of terms =1 Coefficient of x = Nil Constant = 6

• 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 =1 Coefficient of x = 3 Constant = Nil
•   Number of terms = 2 Coefficient of x = 3 Constant = Nil
•   Number of terms =2 Coefficient of x = Nil Constant = 3
•   Number of terms =Nil Coefficient of x = 2 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 =Nil Coefficient of x = 4 Constant = Nil
•   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

• 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 = 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
•   Number of terms = 3 Coefficient of x = 7 Constant =6

• 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 = 4 Coefficient of x =-7 Constant =-8
•   Number of terms = 2 Coefficient of x =-9 Constant =-4
•   Number of terms = 2 Coefficient of x =-7 Constant =-7
•   Number of terms = 5 Coefficient of x =-4 Constant =NIL

• 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 = 3 Coefficient of x = 2 Constant = 7
•   Number of terms = Nil Coefficient of x = 4 Constant = Nil
•   Number of terms = 2 Coefficient of x = 3 Constant = 2

• 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 = -6 Constant = 5
•   Number of terms = 3 Coefficient of x = Nil Constant = Nil
•   Number of terms = 2 Coefficient of x = -6 Constant = Nil

• 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 = 2 Coefficient of x = 2 Constant = 7
•   Number of terms = 3 Coefficient of x = 3 Constant = -5
•   Number of terms = 5 Coefficient of x = -5 Constant = -5
•   Number of terms = 3 Coefficient of x = Nil Constant = Nil

• 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 = 3 Coefficient of x = Nil Constant = -2
•   Number of terms = 4 Coefficient of x = 7 Constant = -2
•   Number of terms = 4 Coefficient of x = Nil Constant = 7
•   Number of terms = 3 Coefficient of x = Nil Constant = Nil

• 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 = Nil Constant = Nil
•   Number of terms = 2 Coefficient of x = -2 Constant = 9
•   Number of terms = 1 Coefficient of x = -2 Constant = 9
•   Number of terms = 9 Coefficient of x = Nil Constant = Nil

• 11) Simplify the following expression : -3p + 6p

•   6p
•   1p
•   3p
•   -3p

• 12) Simplify the following expression : b - 3 + 6 - 2b

•   -2 + 3b
•   b² + 3
•   b + 3
•   -b + 3

• 13) Simplify the following expression : 7p - 10p

•   3p
•   7p
•   p² - 3
•   -3p

• 14) Simplify the following expression : - 10v + 6v

•   -10v
•   -4v
•   4v
•   6v

• 15) Simplify the following expression : - 9r + 10r

•   r²
•   r
•   10r
•   -1r

• 16) Simplify the following expressions: 9 + 5r - 9r

•   -4 +9
•   -4r +9
•   r(4-9)
•   4r -9

• 17) Simplify the following expressions: 1 - 3v + 10

•   2v -9
•   2v +10
•   v +10
•   -3v + 11

• 18) Simplify the following expressions: 4b + 6 - 4

•   b +2
•   4b -2
•   4b + 2
•   10b -4

• 19) Simplify the following expressions: 35n - 1 + 46

•   35n - 45
•   34n + 46
•   35n + 45
•   36n + 45

• 20) Simplify the following expressions: -33v - 49v

•   -49v
•   33v
•   8v
•   -82v

• 21) Expand and simplify where ever necessary: -5(-4 + 8m) - 13

•   9 + 19m
•   9 + 18m
•   5 + 41m
•   7 - 40m

• 22) Expand and simplify where ever necessary: 17 - 8(-11 + 4b)

•   105 - 32b
•   10 - 11b
•   95 + 30b
•   85 + 11b

• 23) Expand and simplify where ever necessary: -9(7k -19) + 11k

•   k +11
•   -52k +171
•   7k +18k
•   51k +170

• 24) Expand and simplify where ever necessary: 4x + 12(-17x + 8)

•   150x + 93
•   -200x + 96
•   90x + 85
•   85x + 70

• 25) Expand and simplify where ever necessary: 13 + 4(-3m + 14)

•   -20m + 70
•   10m + 93
•   -12m + 69
•   -10m + 83

• 26) Expand and simplify where ever necessary: -2m + 3(6m - 16)

•   16m - 48
•   17m - 40
•   15m + 40
•   13m - 48

• 27) Expand and simplify where ever necessary: 6(-5h - 13) + 2

•   32h + 76
•   25 h - 70
•   30h + 73
•   -30h - 76

• 28) Expand and simplify where ever necessary: -10(4n - 3) + 13

•   -40n + 43
•   35n + 40
•   23n + 36
•   20n + 45

• 29) Expand and simplify where ever necessary: 18(13 - 2z) + 11z

•   223 - 25z
•   234 - 25z
•   230 - 27z
•   200 - 24z

• 30) Expand and simplify where ever necessary: 16 - 4(-18 - 2p)

•   82 + 7P
•   80 + 5p
•   83 + 3P
•   88 + 8p