P1.1 Summative Assessment Part 2

Mrs. Peterson is traveling to California for Thanksgiving to visit her family. On Tuesday, she traveled twice the amount of miles she did on Monday. On Wednesday, she traveled 75 miles less than she did on Tuesday.  Altogether, she traveled 1,875 miles. 

1

Write the expression for the amount of mile Mrs. Peterson traveled on Monday. Use x for the variable.

1

Write the expression for the amount of mile Mrs. Peterson traveled on Tuesday. Use x for the variable.

1

Write the expression for the amount of mile Mrs. Peterson traveled on Wednesday. Use x for the variable.

Uncle Hank went to Pumpkin Fest. The cost to ride the Ferris wheel is twice the cost of a pony ride. The cost to bungee jump is $5 more than the Ferris wheel. 

Uncle Hank went on three pony rides, two Ferris wheel rides, and bungee jumped once. If he spent $41, what is the cost of each ride?

Use the following expressions:
Cost of a pony ride: x
Cost of a Ferris Wheel ride: 2x
Cost of bungee jumping: x + 5

4

Write an equation to represent how much Uncle Hank spent on three pony rides, two Ferris wheel rides, and bungee jumping once.

A marble jar has twice as many blue marbles as red marbles , 16 more green marbles than blue marbles, and 10 fewer white marbles than red marbles. The jar has a total of 150 marbles. 

# of red marbles: m
# of blue marbles: 2m
# of green marbles: 2m +16
# of white marbles: m-10
m + 2m + (2m+16) + (m-10) = 150

Solve the equation. Determine how many marbles are in the jar. 

1

Solve the equation.

write your answer as m=

2

How many blue marbles are in the jar? Show your work.

2

How many red marbles are in the jar? Show your work.

2

How many green marbles are in the jar? Show your work.

2

How many white marbles are in the jar? Show your work.

In the following, a common mistake has been made. Identify and describe the mistake in words. Then, solve the equation correctly.

-2(y-3)+5=3      
-2y-6+5=3       Distribute the -2
-2y-1=3           Combine Like Terms
-2y=4               Add 1 to both sides
y=-2                  Divide both sides by -2

1

Identify what line the mistake was made.

1

Explain the mistake.

1

Write the expression for the amount of mile Mrs. Peterson traveled on Monday. Use x for the variable.

Write the expression for the amount of mile Mrs. Peterson traveled on Tuesday. Use x for the variable.

Write the expression for the amount of mile Mrs. Peterson traveled on Wednesday. Use x for the variable.

Write an equation to represent how much Uncle Hank spent on three pony rides, two Ferris wheel rides, and bungee jumping once.

Solve the equation.write your answer as m=

How many blue marbles are in the jar? Show your work.

How many red marbles are in the jar? Show your work.

How many green marbles are in the jar? Show your work.

How many white marbles are in the jar? Show your work.

Identify what line the mistake was made.

Explain the mistake.

Solve correctly. What is the correct answer?Use y= in your answer

Solve the equation.

write your answer as m=

Solve correctly. What is the correct answer?

Use y= in your answer