Solving Real Word Problems UPDATED
ACTUAL Exam Questions and
CORRECT Answers
Students are given 3 minutes to complete each multiple-choice question on a test and 8
minutes for each free-response question. There are 15 questions on the test and the students
have been given 55 minutes to complete it.
Which value could replace x in the table? - CORRECT ANSWER✔✔- C. 8(15 - m)
Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry
seasoning. Oregano costs $4 per ounce, and garlic powder costs $3 per ounce. The table
shows the costs of the ingredients.
What is the value of y in the table? - CORRECT ANSWER✔✔- 6
A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael
went on the two rides a total of 10 times and spent a total of 37 tickets.
Which equation is true? - CORRECT ANSWER✔✔- D. 4r + 3(10 - r) = 37
Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a
salad blend containing 55% spinach. The resulting salad contains 50% spinach.
How many cups of salad are in the resulting mixture? - CORRECT ANSWER✔✔- C. 12
The hardcover version of a book weighs 7 ounces while its paperback version weighs 5
ounces. Forty-five copies of the book weigh a total of 249 ounces.
, Which value could replace x in the table? - CORRECT ANSWER✔✔- D. 5(45 - h)
A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a
30% acid solution. The table shows the amount of each solution used.
What is the value of x, the acid concentration of the first solution? - CORRECT
ANSWER✔✔- A. 0.05
Giuliana has 22 quarters and dollar coins worth a total of $10.75.
Which equation can be used to find d, the number of dollar coins Giuliana has? - CORRECT
ANSWER✔✔- C. 0.25(22 - d) + d = 10.75
Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint
color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A,
resulting in a paint that contains 25% black pigment.
Which equation can be used to solve for x, the total amount of paint in the mixture of the two
colors? - CORRECT ANSWER✔✔- B. 0.15(40) + 0.6(x - 40) = 0.25(x)
Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20%
bleach solution. The table shows the amount of each solution used.
What is the value of x? - CORRECT ANSWER✔✔- C. 10
It would take Marco 6 hours to paint a fence by himself. It would take Jaylyn 5 hours to paint
the same fence by herself. Marco is creating this table to help him determine how long it
would take them to paint the fence together. Which heading should be written above the first
column of numbers? - CORRECT ANSWER✔✔- A. Rate (part/hour)
ACTUAL Exam Questions and
CORRECT Answers
Students are given 3 minutes to complete each multiple-choice question on a test and 8
minutes for each free-response question. There are 15 questions on the test and the students
have been given 55 minutes to complete it.
Which value could replace x in the table? - CORRECT ANSWER✔✔- C. 8(15 - m)
Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry
seasoning. Oregano costs $4 per ounce, and garlic powder costs $3 per ounce. The table
shows the costs of the ingredients.
What is the value of y in the table? - CORRECT ANSWER✔✔- 6
A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael
went on the two rides a total of 10 times and spent a total of 37 tickets.
Which equation is true? - CORRECT ANSWER✔✔- D. 4r + 3(10 - r) = 37
Four cups of a salad blend containing 40% spinach is mixed with an unknown amount of a
salad blend containing 55% spinach. The resulting salad contains 50% spinach.
How many cups of salad are in the resulting mixture? - CORRECT ANSWER✔✔- C. 12
The hardcover version of a book weighs 7 ounces while its paperback version weighs 5
ounces. Forty-five copies of the book weigh a total of 249 ounces.
, Which value could replace x in the table? - CORRECT ANSWER✔✔- D. 5(45 - h)
A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a
30% acid solution. The table shows the amount of each solution used.
What is the value of x, the acid concentration of the first solution? - CORRECT
ANSWER✔✔- A. 0.05
Giuliana has 22 quarters and dollar coins worth a total of $10.75.
Which equation can be used to find d, the number of dollar coins Giuliana has? - CORRECT
ANSWER✔✔- C. 0.25(22 - d) + d = 10.75
Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint
color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A,
resulting in a paint that contains 25% black pigment.
Which equation can be used to solve for x, the total amount of paint in the mixture of the two
colors? - CORRECT ANSWER✔✔- B. 0.15(40) + 0.6(x - 40) = 0.25(x)
Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20%
bleach solution. The table shows the amount of each solution used.
What is the value of x? - CORRECT ANSWER✔✔- C. 10
It would take Marco 6 hours to paint a fence by himself. It would take Jaylyn 5 hours to paint
the same fence by herself. Marco is creating this table to help him determine how long it
would take them to paint the fence together. Which heading should be written above the first
column of numbers? - CORRECT ANSWER✔✔- A. Rate (part/hour)
