## Problems

**Problem : ** Identify the variable(s) in the following expressions:

a) 6*g* + 12

b) 18*y*

c) +11 - 16 + (5—2)

d) 13 + *w* - *j*

e) 2*sf*

f) 16*f* (*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) 5*r* + 6 = 11

b) = 7

c) 116♣ +423♥ = 209

d) 3·(*d* + 1) - 4·(*p* - 2) = 100

e) 14*u* = 28*v* + 7

f) 12 = 5*r* - 3

a)

*r*
b)

*v*
c)

♣,

♥
d)

*d*,

*p*
e)

*u*,

*v*
f)

*r*
**Problem : ** Are the following expressions or equations?

a) 34*x* + 6 = 19

b) *r* + 2*y*

c) *x*^{3} + *y*^{4} - 6

d) 13*p* = 106*q*

e) 3 + 2

f) 213 - 13 = 200

g) 16*x*

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"

2*k* + *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 = 2*s*, 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.*