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Laabri

CAASPP Grade 7 Math

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Last updated 10 days ago
67 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Enter the value of 5 \cdot (13.5-4.5).

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

The number line shows record low temperatures for four states.

Enter the different, in degrees, between the record low temperatures in Hawaii and South Dakota.

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3.

Select the expression equivalent to (4x+3)+(-2x+4).

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4.

Select all expressions that are equivalent to -3.75+2(-4x+6.1)-3.25x.

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5.

Enter the decimal equivalent of \frac{11}{8}.

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6.

Enter the value of c when the expression 21.2x+c is equivalent to 5.3(4x-2.6)

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7.

Select all values equivalent to -\frac{10}{7}.

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8.

A principal wants to know if students at a particular high school are in favor o a new dress code at their school.. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the student to represent the high school.

Select which sample of student the principal should choose.

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9.

Jenny has $25 and she earns $10 for each lawn that she mows Jenny wants to buy a concert ticket that costs $65.

Enter the minimum number of laws Jenny needs to mow to be able to buy the concert ticket.

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10.

This table shows a proportional relationship between the grams of peanuts and raisins in a bag of trail mix.

Enter the number of grams of peanuts in a bag for every 1 gram of raisins.

A bag contains 16 marbles. There are 5 blue, 9 yellow, and 2 red marbles. One marble is selected at random.

Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. Select True or False for each statement.

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Asemmisa {{asɛmmisaAhyɛnsode}}
15.

David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each, and some sour candies. Each sour candy costs $0.25.

Enter the maximum number of sour candies David can buy.

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16.

Sara buys a sweater at a department store. The sweater costs $30. The store is having a 25% off sale on everything in the store.

Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.

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17.

An electrician is hired to install outdoor lighting. The electrician claims that the relationship between the number of hours worked and the total work fee is proportional. The fee for 5 hours of work is $225.

Select all combinations of values for the electrician's work hours and total work fee that support the claim that the relationship between the two values is proportional.

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18.

Figure A is a scale image of Figure B, as shown.

The scale that maps Figure A onto Figure B is 1:7\frac{1}{4}.

Enter the value of x.

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19.

Lisa wrote the expression (3+6x)-2(x+1)+5. She simplified the expression using the following steps:

Step 1: 3(1+x)-2(x+ 1)+5

Step 2: 3(x+1)-2(x+1)+5

Step 3: (x+1)+5

Step 4: x+6

Lisa says that (3+6x)-2(x+1)+5=x+6. Lisa's statement is incorrect.

In which step did Lisa first make a mistake, and what is a correct expression for that step?

This graph shows a proportional relationship between the number of hours a factory is in operation and the number of gallons of water used.

Select True or False for each statement about the graph.

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20.

The factory uses 4 gallons of water when it is in operation for 4000 hours.

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23.

The figure shown is created by joining two rectangles.

Enter the area, in square inches, of the figure.

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24.

Alfonso went to Famous Sam's Appliance Store and purchased a refrigerator and a stove. The sale price of the refrigerator was 40% off the original price and the sale price of the stove was 20% off the original price.

Which statement must be true to conclude that Alfonso received a 30% overall discount on the refrigerator and the stove together?

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25.

Select all tables that represent a proportional relationship between x and y.

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26.

The circumference of a circle is approximately 37.7 centimeters.

Enter the radius of the circle, in centimeters. Round your answer to the nearest whole number.

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27.

Draw the correct arrow onto the number line to represent the solution of the inequality 6x-4<8.

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28.

Maria claims that any fraction located between \frac{1}{5} and \frac{1}{7} on a number line must have a denominator 6.

Enter a fraction that shows Maria's claim is incorrect.

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29.

A company makes two sizes of boxes shaped like rectangular prisms. The large box is 16 inches tall, 10 inches wide, and 10 inches long. The drawing shows the dimensions of the small box.

Part A

What is the maximum number of small boxes that can fit inside the large box?

Part B

The company plans to increase the width and length of the large box by 4 inches each to create a new larger box. How many more of the small boxes will be able to fit inside this new larger box compared to teh original large box?

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30.

Lenny bought a motorcycle. He paid 12.5% in tax. The tax added $1437.50 to the price of the motorcycle.

What was the price of the motorcycle, not including the tax?

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31.

These two maps show the same area at two different scales.

  • Columbus is not on Map A.

  • Map B does not have a scale written on it.

  • Riverside and Gladville are 6.8 cm apart on Map A.

  • Riverside and Gladville are 3.4 cm apart on Map B.

  • Gladville and Columbus are 1.8 cm apart on Map B.

Determine the straight line distance, in miles, from Gladville to Columbus.

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32.

Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures 2 feet by 3 feet by 1.5 feet. The delivery truck measures 11 feet by 8 feet and is 6 feet tall. Johnny puts planting soil in the delivery truck until the truck is 70% full.

What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% full?

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33.

This graph shows a proportional relationship between the number of gallons of gasoline used (g) and the total cost of gasoline (c).

Find the constant of proportionality (r). Using the value for r, enter an equation in the form of c = rg that represents the relationship between the number of gallons of gasoline used (g) and the total cost (c).

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34.

When playing basketball, Jan makes 4 out of every 10 shots she takes.

Select all the statements that describe Jan's situation.

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35.

Mary and Jerry are exercising on a track.

  • Mary is walking at a rate of 3 miles per hour.

  • Jerry starts jogging at a rate of 4 miles per hour after Mary has been walking for 15 minutes.

  • Jerry jobs 2 miles as Mary continues walking, and they both stop at the same time.

Enter the total distance, in miles, that Mary walks around the track.

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36.

Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute.

Enter an inequality that shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons. (Copy/paste the following symbols as needed: ≥ , ≤ )

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37.

Values for variables a, b, and c are graphed on the number line shown.

Use the graph to evaluate the expressions. Categorize each expression to indicate whether the expression is less than 0, equal to 0, or greater than 0.

  • a-b

  • a+b

  • b-c

  • c-a

  • a+c

  • < 0

  • =0

  • >0

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38.

Five students solve the following problem. Each student uses a different method.


A store offers a 15% discount on a bicycle. The discount price of the bicycle is $102.


What was the original price of the bicycle?


Select all the students who use a correct method to solve for the original price of the bicycle.

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39.

Beth solved the equation $2x - 9 + 3(5 - x) = 7$ using the steps shown.

Step 1: $2x - 9 + 15 - x = 7$

Step 2: $2x - 6 - x = 7$

Step 3: $x = 13$

Select the statement that is true about Beth’s work.

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40.

Emily leaves her house at exactly 8:25 a.m. to bike to her school, which is 3.42 miles away. When she passes the post office, which is $\dfrac{3}{4}$ mile away from her home, she looks at her watch and sees that it is 30 seconds past 8:29 a.m.

Diagram showing Emily biking from home past the post office at 8:29:30 a.m. along a 3.42 mile route to school.


If Emily's school starts at 8:50 a.m., can Emily make it to school on time without increasing her rate of speed? Show and/or explain the work necessary to support your answer.

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41.

The price of a pair of sneakers is $c$ dollars. The sneakers are on sale for 40% off the original price. Caroline uses the expression $c - 0.4c$ to determine the sale price of the sneakers.

She claims that the sale price can only be found by subtracting from the original price.

Select an expression that can be used to determine the sale price of the sneakers and proves that Caroline’s claim is not always true.

English glossary:
sneakers: shoes used for sports and activities

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42.

Meg is buying clothes at a store that is having a sale. She sees a shirt with an original price of $17.50. She says the sale price would be approximately $12.

Select all statements that are correct if Meg’s estimate is accurate.

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43.

Select all expressions equivalent to $\dfrac{2}{5}\left(0.25 + 2 \dfrac{3}{4} - 5\right)$.

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44.

The circumference of the circle is approximately $37.68$ centimeters.

The shaded region is $\frac{1}{4}$ of the whole circle.
Circle divided into four equal regions with the upper right region shaded.
Enter the area of the shaded region, in square centimeters. Round your answer to the nearest tenth.

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45.

In the diagram,

  • $m\angle ABD + m\angle DBC = 90^\circ$

  • $m\angle ABD + 30^\circ = m\angle DBC$

Diagram of points A, B, C, and D with rays forming angles ABD and DBC.
What is the measure, in degrees, of $\angle DBC$?

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46.

Look at this square pyramid.


Square pyramid
Which figure could not be formed by a horizontal or vertical slice of the pyramid?

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47.

A coin is flipped 4 times.

Enter the probability of the coin landing on “tails” all 4 times.

English glossary :
coin : metal money
flipped : to turn by tossing
“tails” : the side of a coin that has no head on it

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48.

A fair coin is flipped 10 times. It lands facing heads up 2 out of 10 times. The probability of a coin landing heads up on one flip is $\frac{1}{2}$.

Select the statement that best explains why the observed frequency is different from the predicted probability.

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49.

Jenny earns $140 for 8 hours of work. She receives a 12% pay increase.

Enter Jenny's hourly earnings, after the increase. Round to the nearest cent.

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50.

Enter the value of $b$ when the expression $9x + b$ is equivalent to $3(3x + 1)$.

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51.

The total cost for cans of soup is proportional to the quantity of cans purchased. This equation represents the proportional relationship between the numbers of cans $n$ purchased and the cost $c$, in dollars.


$4n = 9c$

Enter the cost of 1 can of soup, in dollars. Round to the nearest cent.

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52.

Select all tables that represent a proportional relationship between $x$ and $y$.

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53.

Which number line shows the solution to the inequality $6x + 4 \ge -20$?

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54.

Enter the value of $3.7 \times \left(2 \div \frac{1}{2}\right)$.

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55.

Right angle at V formed by rays VW and VZ. Ray VY is between them with angle x between VW and VY, and angle 2x between VY and VZ.
Enter the measure of $\angle WVY$, in degrees.

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56.

A triangle has a 35° angle, a 55° angle, and a side 6 centimeters in length.

Select True or False for each statement about this type of triangle.

True

False

The triangle might be an isosceles triangle.

The triangle might be an acute triangle.

The triangle must contain an angle measuring 90°.

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57.

This table shows a proportional relationship between $x$ and $y$.

$x$

$y$

$1$

$9$

$2$

$18$

$3$

$27$


Find the constant of proportionality ($r$). Using the value for $r$, enter an equation in the form of
$y = rx$.

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58.

Identify all expressions equivalent to $1\frac34(12-8)+4\frac12\cdot2$.

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59.

The figure shown is created by joining two cubes with a right rectangular prism.
Composite solid made by joining two cubes with a right rectangular prism, labeled with dimensions 3 in, 4 in, 8 in, and 5 in.
Enter the volume of the figure, in cubic inches.

English glossary :
Enter : Enter
shown : shown
by joining : by joining

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60.

Look at this inequality.
$-4x + 5 < 7$

Which number line shows the solution set to this inequality?

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61.

A clothing store marked down the price of shirts by 25%. The store also marked down the price of a pair of jeans by 30%.

  • Ben purchased a shirt whose original price was $32.

  • Ben purchased a pair of jeans whose original price was $40.

Enter the amount Ben saved.

English glossary :
clothing store : business that sells things you wear
marked down : reduced
shirts : pieces of clothing for the upper body that have sleeves and usually buttons down the front
pair : something that has two parts which are joined
purchased : bought
amount : how much
saved : to spend less money

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62.

Carol flips a fair coin. The coin lands on heads 5 times in a row.

Enter the probability that the next toss will land on tails.

English glossary :
flips : throws
lands : stops on
heads : the face showing
tails : the face not showing

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63.

The box plots show a summary of the number of students present in Mr. Cooper’s class and Mr. Parker’s class during the last month.

Box plots showing number of students present in Mr. Cooper's class and Mr. Parker's class.

Determine whether each statement is true based on the box plots. Select True or False for each statement.

True

False

The interquartile range of students present in Mr. Cooper’s class is less than the interquartile range of students present in Mr. Parker’s class.

The median number of students present in Mr. Parker’s class is less than the median number of students present in Mr. Cooper’s class.

The range of students present in Mr. Cooper’s class is less than the range of students present in Mr. Parker’s class.

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64.

Is the given expression equal to $7(9 + 4b)$?

Select Yes or No for each expression.

Yes

No

$28b + 63$

$63b + 28$

$63 + 4b$

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65.

Which could be the graph of a proportional relationship between $x$ and $y$?

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66.

Aaron, Dave, and Jeff are teammates on the school's basketball team. Aaron scored $x$ points in the last game. Dave scored 5 more points than Aaron. Jeff scored twice the number of points that Dave scored.

Select all of the expressions that represent the total number of points scored in the last game by all three boys.

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67.

The scale drawing of a lawn is shown.

Scale drawing of a lawn on grid paper with a key showing that one shaded square represents 400 square feet.

Enter the area, in square feet, of the actual lawn.

English glossary :
lawn : area with grass

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11.

It is impossible that a green marble will be selected.

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12.

It is unlikely that a yellow marble will be selected.

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13.

It is certain that a blue marble will be selected.

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14.

It is unlikely that a red marble will be selected.

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21.

Point W represents the number of gallons of water used when the factory is in operation for 7 hours.

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22.

The factory uses 9000 gallons of water when it is in operation for 9 hours.