Algebra 1A Midterm Review PART 1

Owen borrowed a book with 462 pages from a public library. He read a few pages on day one. On day two, he read four times the number of pages than he read on day one. On the third day, he read six pages less than what he read on the first day. 

If Owen read the entire book in these three days, we can model this situation with the equation x+4x+(x−6)=462.

Solve the problem to find the number of pages Owen read on DAY 3.

• 78

• 72

• 117

• 156

Georgina wants to mail a package to her sister for her birthday who lives in another state . The cost to mail a package is based on weight.  UPS charges $6.50 for the first pound, then $1.40 for each additional pound. FedEx charges $4.50 per pound. 

 

We can use the equation 7.6+1.4(p−1)=4.5p to model the number of pounds, p, a package would have to weight for them to charge the same amount. Solve the equation to find the solution.

Enter your final numerical answer in the space provided. Do not include units ($) or a variable. 

Two rectangular fields, both measured in meters, are modeled.

 

PART A: What value of x, in meters, would cause the fields to have equal perimeters?

Identify the equation that would be used to model this real world situation.

     (This will be used in the next question)

Two rectangular fields, both measured in meters, are modeled.

 

What value of x, in meters, would cause the fields to have equal perimeters?

     

• 15 m

• 45 m

• 18 m

• 30 m

Robert bought 15 donuts from TrackSide Donuts to share with his sons, Abel and Garrett. Abel ate one-third of the number of donuts that Garrett ate, and Robert ate 3 donuts. How many donuts did Garrett eat?

Write a one-variable equation to determine how many donuts Garrett ate, using the variable g to represent this number. 

• x = 1

• x = 1, -15

• no solution

• x = 1, 15

A thermometer comes with a guarantee that the stated temperature will differ from the actual temperature by no more than 1.25 degrees Fahrenheit.

Identify an absolute value equation to find the minimum and maximum actual temperatures when the thermometer states the temperature is 94 degrees Fahrenheit.