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Consider 4x^2-6x+2xy-5+x^2
Is this an equation or an expression?
How many terms does it contain?
State the coefficient of: (i) x (ii) ?^?
State the constant term.
a. Expression
b. 5
c. x = -6,x^2 = 1
d. =-5
Write expressions for the average of:
a. 4 and y
b. a, b and c
a. 4+y / 2
b. a+b+c / 3
Write expressions for the difference between:
a. 4 and y if 4 > y
b. (a+b) and c if (a+b) <c
a. 4 - y
b. c-(a+b)
Write down algebraic expressions for:
a. the sum of b and a squared.
b. the sum of b and a, all squared
c. the sum of the squares of b and a
a. b+a^2
b. (b+a)^2
c. b^2 +a^2
write down algebraic expressions for-
the product of the square of x and 9
9x^2
the sum of m and n cubed
(m+n)^3
Zane is now 14 years old. How old was he x years ago?
(14 -x ) years
Katia is climbing the stairs to the top of a 35 m tower. Each step is 21 cm high. If Katia has climbed x steps:
(a) how high has she climbed
(b) how much further must she climb to the top?
a. 21x cm
b. (35 - 21x/100)m
Su Lin travelled a km in 3 hours and then b km in 2 hours $85.
(a) the total distance Su Lin travelled
(b) the average speed for the whole trip.
(a) (a+b) km
(b) (a+b)/5 km per hour
Find:
a) the cost of m mandarins at 45 cents each
b) the change from $20 when buying n pens at $1.20 each.
a) 45m
b) 20 -1.2n pounds.
If p= 3, q =-2 and r=-4, evaluate:
(a) p - q / r
(b) q^2 +pr / p + r
(a) - 5/4
(b) 8
Simplify
(a) 2 + 3a- 3- 2a
(b) x^2 - 2x +3x - 2x^2
(a) a-1
(b) -x^2 + x
Simplify :
(a) 5x^2 x 4x (b) (-3x) x (-2x^2)
(a) 20x^3
(b) 6 x^3
Find:
the total cost in dollars of buying p pens at q cents each, and r rulers at s cents each.
$ (pq + rs )/100
If x =4, y=-3, and Z=-2, evaluate:
(a) y^3
(b) 2xy / z^2
(c) (x-y)^2
(a) -27
(b) -6
(c) 49
WRite down algebraic expressions for the sum of:
(a) one-third of the sum of r and s
(b) triple the sum of b and c
(a) (r+s)/3
(b) 3(b+c)
