Problem : Identify the variable(s) in the following expressions:
a) 6g + 12
b) 18y
c)
+11 - 16 + (52)
d) 13 + w - j
e) 2sf
f) 16f (g + 1)2 + h
a)
g
b)
y
c)
d)
w,
j
e)
s,
f
f)
f,
g,
h
Problem : Identify the variable(s) in the following equations:
a) 5r + 6 = 11
b)
= 7
c) 116♣ +423♥ = 209
d) 3·(d + 1) - 4·(p - 2) = 100
e) 14u = 28v + 7
f) 12 = 5r - 3
a)
r
b)
v
c)
♣,
♥
d)
d,
p
e)
u,
v
f)
r
Problem : Are the following expressions or equations?
a) 34x + 6 = 19
b) r + 2y
c) x3 + y4 - 6
d) 13p = 106q
e) 3 + 2
f) 213 - 13 = 200
g) 16x
a) Equation
b) Expression
c) Expression
d) Equation
e) Expression
f) Equation
g) Expression
Problem : Translate the following word statement into an algebraic expression or equation:
"Twice the number of cookies Katie bakes plus the number of cookies Prisca bakes minus 6 cookies"
2k + p - 6, where
k = the number of cookies Katie bakes and
p = the number of cookies Prisca bakes.
Note: Any two variables are acceptable, as long as they are two different variables.
Problem : Translate the following word statement into an algebraic expression or equation:
"If Rob was half a foot taller, he would be six and one-quarter feet tall."
r +
= 6
, where
r = Rob's height in feet.
Again, any variable is acceptable.
Problem : Translate the following word statement into an algebraic expression or equation:
"If Ron had scored 15 more points, he would have scored twice as many points as Shawn."
r + 15 = 2s, where
r = the number of points Ron scored and
s = the number of points Shawn scored.
Any two different
variables are acceptable.
Problem : Translate the following word statement into an algebraic expression or equation:
"John's age divided by 3 is equal to John's age minus 14."
= j - 14, where
j = John's age.
Any one
variable is acceptable.