AnswersFL-1205010-MJ Grade 6 Mathematics B -GFRelating Relationships Shown in Tables to Equations

Relating Relationships Shown in Tables to Equations — Cumulative exam Answers

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The table shows the number of passengers that can be transported in a company’s vans. How many passengers can be transported in five vans?VansPassengers1122243364485?672

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3

The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which represents the perimeter, the distance around the triangle, is . What is the value of this expression if ?

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4

Chris is checking to determine if the expressions and are equivalent. When , he correctly finds that both expressions have a value of 8. When , he correctly evaluates the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

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A
The value of the second expression is 8, so the expressions are equivalent.
B
The value of the second expression is 10, so the expressions are equivalent.
C
The value of the second expression is 12, so the expressions are not equivalent.
D
The value of the second expression is 16, so the expressions are not equivalent.
5

Which expression is equivalent to when ?

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A
2 (3)
Option A
B
5 (3)
Option B
C
2 (3) + 3
Option C
D
2 (3) + 6
Option D
7

When plotted on a grid, the paths between four neighborhood houses form the shape of a kite as shown. The distance from House B to House D is 50 feet. The distance from House A to House C is 40 feet. What is the area of the figure created by the four houses?

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8

The high temperatures in Montana are recorded for a week. High TemperaturesSunday46°FMonday52°FTuesday51°FWednesday54°FThursday49°FFriday51°FSaturday61°FWhat is the mean, or average, high temperature for the week?

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9

Write and solve the equation and then check your answer. Which statements are true about the equation and its solution? Check all that apply.A number decreased by thirty-one is fifty-two.

A
The correct equation is .
Option A
B
The correct equation is .
Option B
C
To check the solution, substitute 83 for the variable in the equation.
D
To check the solution, substitute 21 for the variable in the equation.
E
This is an addition problem.
F
This is a subtraction problem.
G
To solve the equation, subtract 31 from both sides.
H
To solve the equation, add 31 to both sides.
11

Denise is checking to determine if the expressions and are equivalent. When , she correctly found that both expressions have a value of 14. When , she correctly evaluated the first expression to find that .What is the value of the second expression when , and are the two expressions equivalent?

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A
The value of the second expression is 2, so the expressions are equivalent.
B
The value of the second expression is 4, so the expressions are not equivalent.
C
The value of the second expression is 8, so the expressions are not equivalent.
D
The value of the second expression is 10, so the expressions are equivalent.
12

Which is true of the infinite solutions of the inequality ?

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A
The solutions will contain an infinite amount of whole numbers.
B
The solutions will contain an infinite amount of integers.
C
The solutions will contain an infinite amount of negative numbers.
D
The solutions will contain an infinite amount of negative numbers and zero.
14

Michael spends $24 each week on private swimming lessons. The two variables are:d = total amount Michael has spentw = number of weeksWeeks (w)Dollars (d)124248372496Which statements are correct about the table? Check all that apply.

A
The dependent variable causes a change in the independent variable.
B
The independent variable causes a change in the dependent variable.
C
The equation is d = 24w.
D
The equation is w = 24d.
E
As the number of weeks increases, the total amount Michael spends increases.
F
As the number of weeks increases, the total amount Michael spends decreases.
15

The number of boxes of food that six volunteers collected for the food drive is given in the table below.Number of Boxes323520162813What is the mean absolute deviation? Round to the nearest tenth.

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16

Marissa claims that stacking 6 blocks with dimensions of will give the same volume as stacking 9 blocks with dimensions of . Which statements about her claim are true? Check all that apply.

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A
Six of the one-half cubes would have a volume of 3 cubic units.
B
Nine of the one-third cubes would have a volume of 6 cubic units.
C
Since and do not have common factors, stacks of one-half cubes and stacks of third-cubes could never have the same volume.
Option C
D
Three of the one-third cubes will make 1 unit cube.
E
Two of the one-half cubes will make 1 unit cube.
F
Both stacks will have a volume of 3 cubic units.
18

This net will be folded to form a solid.Which statements are true about the model created? Check all that apply.

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A
Each face will be a rectangle.
B
The solid will be a triangular prism.
C
The solid will be a rectangular pyramid.
D
Each face will be a triangle.
E
The solid will have some faces that are rectangles and some faces that are triangles.
F
The solid will have five faces.
G
The solid will have three faces.
H
The solid will have two faces.
19

What is the solution to the equation?

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20

Which inequality is represented by the graph below? Check all that apply.

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A
x greater-than 9
Option A
B
x less-than 9
Option B
C
any rational number greater than or including 9
D
any rational number less than or including 9
E
any rational number greater than 9
F
any rational number less than 9

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