Math 1
Outcome 4: I can evaluate, solve and justify solutions for linear equations and inequalities in one variable.
Learning Targets
a. I can create equations and use them
to solve problems.
b. I can create inequalities and use them
to solve problems.
c. I can use and justify algebraic steps to
rearrange a linear equation to
highlight a quantity of interest.
d. I can defend the reasonableness of a
solution according to the context of a
problem.
HP: I can critique the reasoning of others
for solving a linear or inequality.
Can You Do This?
Mary and Jeff both have jobs with the Tourists baseball team selling bags of
peanuts. They get paid $12 per game plus $1.75 for each bag of peanuts they
sell.
a. Write a rule for pay earned as a function of number of bags of peanuts sold.
b. Write an equation that can be used to solve the following questions and
then solve:
 How many bags of peanuts does Jeff need to sell to earn $54?
 How much will Mary earn if she sells 70 bags of peanuts at a game?
(Continue with the context above)
c. Write an inequality that can be used to solve the following questions and
then solve:
 How many peanuts does Jeff need to sell to earn at least $68?
Solve each of the following equations for x.
 52 = 13y -3x
 2x +7y = 11
 3(x+2) +12y = 15
Pat bought some nuts as refreshments at a party. She bought some peanuts at
$3 per pound and some almonds at $5 per pound. She bought $60 worth of nuts
total. Jerry thinks Pat bought 10 pounds of peanuts and 8 pounds of almonds. Is
Jerry correct? Use the rule below to help justify your answer.
3p + 5a = 60
SelfReflection