Prealgebra: Variables

Problem : Identify the variable(s) in the following expressions:
a) 5k + 1
b) 7b ² - (6×5)
c) 19 - y
d) 2×(h + w)

a) k
b) b
c) y
d) h , w

Problem : If m represents the number of miles Katy ran, write an expression for:
a) The distance Katy ran plus 3 miles
b) Half of the distance Katy ran

a) m + 3
b) m/2

Problem : If b represents the number of hours Becky spent painting, write an expression for:
a) Twice the time Becky spent painting
b) Twice the time Becky spent painting, plus 8 more hours

a) 2b
b) 2b + 8

Problem : If s represents the number of shots Jeff made on the basketball court, write an expression for:
a) The number of shots Jeff would have made if he had made 4 fewer shots
b) The number of shots Jeff would have made if he had made 3 times as many shots

a) s - 4
b) 3s

Problem : If k represents the amount of money (in dollars) Kara spent at a thrift shop, write an expression for:
a) The amount of money she would have spent if she had spent 3 more dollars
b) The amount of money she would have spent if she had spent 8 times as much, plus 6 more dollars

a) k + 3
b) 8k + 6