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Expressions and Equations

Problems

Variables

Simplifying Expressions

Problem : Identify the variable(s) in the following expressions:
a) 6g + 12
b) 18y
c) +11 - 16 + (5—2)
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) x 3 + y 4 - 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.

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