AnswersFL-1205040-MJ Grade 7 Mathematics A -GFCross Products

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1
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Why are the solutions to the proportions and the same?

Question illustration
A
because both result in the equation , which simplifies to
Option A
B
because both result in the equation , which simplifies to
Option B
C
because both result in the equation , which simplifies to
Option C
D
because both result in the equation , which simplifies to
Option D
2
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Which equation could you use to solve for x in the proportion ?

Question illustration
A
4 x = 14
Option A
B
4 x = 45
Option B
C
5 x = 13
Option C
D
5 x = 36
Option D
3

Why can you use cross products to solve the proportion for x?

Question illustration
A
because 18 times 100 is equal to 5 times x, which means that x is equal to 36
B
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
C
because 18 times x is equal to 5 times 100, which means that x is equal to 36
D
because 18 times x is equal to 5 times 100, which means that x is equal to 360
4

Which is a valid proportion?

A
Three-fourths = StartFraction 21 over 28 EndFraction
Option A
B
StartFraction 5 over 6 EndFraction = StartFraction 29 over 30 EndFraction
Option B
C
StartFraction 4 over 7 EndFraction = StartFraction 16 over 49 EndFraction
Option C
D
Two-fifths = StartFraction 12 over 15 EndFraction
Option D
5

What is the value of x in the proportion ?

Question illustration
A
2 and two-fifths
Option A
B
5 and two-fifths
Option B
C
8 and StartFraction 1 over 10 EndFraction
Option C
D
12 and StartFraction 3 over 20 EndFraction
Option D
6

Javed downloaded from the Internet two files that had a combined size of 696 megabytes. The size of the first file was 290 megabytes, and it took 5 minutes to download. Assuming that the files downloaded at a constant speed, how long did it take for the second file to download?

A
2 minutes
B
4 minutes
C
7 minutes
D
12 minutes
7

Joanie believes that you cannot use cross products to solve the proportion for x. She says that if you multiply both sides of the equation by x, you get . Then, if you multiply both sides of the equation by 3, you get , which is a different equation than you would get if you cross multiplied. What mistake did Joanie make in her reasoning?

Question illustration
A
She assumed that the multiplication property of equality allows her to multiply both sides of the equation by x.
Option A
B
She assumed that the multiplication property of equality allows her to multiply both sides of the equation by 3.
Option B
C
She assumed that is the equation that you get if you multiply both sides of the equation by 3.
Option C
D
She assumed that is the equation that you get if you multiply both sides of the equation by x.
Option D
8

Why are the solutions to the proportions and the same?

Question illustration
A
because both result in the equation , which simplifies to
Option A
B
because both result in the equation , which simplifies to
Option B
C
because both result in the equation , which simplifies to
Option C
D
because both result in the equation , which simplifies to
Option D
9

Setting equal to which ratio would result in a valid proportion?

Question illustration
A
StartFraction 9 over 49 EndFraction
Option A
B
StartFraction 18 over 42 EndFraction
Option B
C
StartFraction 42 over 18 EndFraction
Option C
D
StartFraction 49 over 9 EndFraction
Option D
10

If , what is the value of x?

Question illustration
A
4
B
8
C
18
D
24

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