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Winter Interim Retake 22-23

Last updated over 2 years ago
26 questions

7.RP.1

Calculate unit rates associated with ratios of fractions

1

Lucy is a dress maker. She sews \frac{4}{7} of a dress in \frac{3}{4} hour. Lucy sews at a constant rate.


At this rate, how many dresses does Lucy sew in one hour?

1

Robert climbed 775 steps in 12 \frac{1}{2} minutes

How many steps did he average per minute?

1

Charlie reads quickly. He reads 1\frac{3}{7} page every \frac{2}{3} minutes. Charlie reads at a constant rate.

How many pages does he read per minute?

1

In 2009, Usain Bolt set the world record for sprinting 100m in approximately 9\frac{3}{5} seconds.

How many meters did Usain Bolt run in 1 second?

1

Darcy harvests 8\frac{3}{4} acres of corn every \frac{5}{6} of an hour. Darcy harvests corn at a constant rate.

How many acres does she harvest per hour?

7.RP.2a

Proportional relationships

1

Mikel gave a $1.32 tip for an order that cost $8.80.

Determine whether or not each tip below is proportional to Mikel's tip.

Proportional to Mikel's Tip
Not Proportional to Mikel's Tip
$2.22 tip for a $14.80 Order
$1.86 tip for a $10.50 Order
$0.78 tip for a $5.20 Order
1

The table shows a proportional relationship between the mass, in kilograms (kg) of a dog and the milliliters (mL) of flea medicine a veterinarian prescribes.


A row of values is missing in the table.

Which of the following numbers of kilograms and milliliters could be used as the missing values in the table? [hint: which answers are proportional relationships]

Choose 2 answer:

1

Anita's favorite book is about Johnny Appleseed, the American pioneer who planted apple trees all across the country. Inspired by the story, Anita plants an apple seed in her backyard and tends the seed as it slowly grows into a tree.

There is a proportional relationship between the age of Anita's apple tree (in years), x, and the height of the tree (in feet), y.


What is the constant of proportionality? Write your answer as a whole number or decimal.

_________ feet per year?

1

Use the equation to complete the table.

y =3x

7.NS.1

Add and subtract rational numbers

2

7.NS.1

Ms. Paul and Mr. Kovalik are playing the Integer Card Game where they add up points from cards. The cards in their hands are shown below:


What is the score in Ms. Pauls hand? Show/explain how you found your answer.

"Ms. Pauls score is..."

2

7.NS.1
What is the score in Mr. Kovaik's hand? Show/explain how you found your answer.

"Mr. Kovalik's score is..."

1

7.NS.1
Select the expression that is equal to -7-(-12)

1

7.NS.1
-4/5 + 50/54 -.25=

1

7.NS.1
–3/10 + –1/2 =

7.NS.2A

Rules for multiplying rational numbers

1

Evaluate the following expression.

10 - 9 x (-6)

1

Evaluate the following expression.

\frac{136}{-10-7} =

1

Evaluate the following expression.

-8+ \frac{70}{-7}=

1

Evaluate the following expression.

10 - 9 (5) + 6 (-2)=

7.NS.3

Real-world math with rational numbers

2

Derrick is making handmade birdhouses for a science project. He paid $26 for wood at the store to get started.
Each bird house he makes costs $3.00 for materials and he can sell each birdhouse for $6.

Derrick says that if he sells 8 bird houses, he covers his expenses and does not lose any money.
Do you agree? Explain how you know and provide mathematical evidence.

"I (agree / disagree) with Derrick because..."

1

Steve went to the grocery store. His original bill was $105.23. Steve then used 5 coupons of the same value. If he had to pay $101.48 after using the coupons, how much was each coupon worth?

2

The water level in Lugo Lake changes by -\frac{2}{5} inches after three years.

b) How much would you predict the water level to change over 7 years? Explain and show calculations.

"After 7 years, the water level..."

1

Ben and Cam are scuba diving. Ben is 15.8 meters below the surface of the water. Cam is 4.24 meters above Ben.

What is Cam's position relative to the surface of the water?

7.EE.1

Properties of operations

1

Combine the like terms to create an equivalent expression:

−5r+8r+5

1

Combine the like terms to create an equivalent expression:

8t+1+(−4t)+(−6)

1

Select ALL of the expressions are equivalent to {22c + 33d}?

1

Apply the distributive property to create an equivalent expression.

5×(−2w−4)=