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Which sign makes the statement true? $\newline$ $\lvert -3 \rvert$ ? $-7$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$

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Math Problems

Grade 6

Integer inequalities with absolute values

Full solution

Q. Which sign makes the statement true?

\newline

\lvert -3 \rvert

-7

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Calculate absolute value: Calculate the absolute value of $-3$ . $\newline$ $|-3| = 3$
Compare values: Compare the values: $3 ? -7$ . Since $3$ is greater than $-7$ , the correct sign is ' $>$ '. $3 > -7$

More problems from Integer inequalities with absolute values

Question

Function

g

can be thought of as a scaled version of

f(x)=|x|

\newline

What is the equation for

g(x)

\newline

Choose

1

answer:

\newline

(A)

g(x)=-\frac{4}{3}|x|

\newline

(B)

g(x)=\frac{4}{3}|x|

\newline

(C)

g(x)=-\frac{3}{4}|x|

\newline

(D)

g(x)=\frac{3}{4}|x|

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Posted 2 months ago

Question

The graph of

y=|x|

is reflected across the

x

-axis and then scaled vertically by a factor of

\frac{5}{3}

\newline

What is the equation of the new graph?

\newline

Choose

1

answer:

\newline

(A)

y=-\frac{5}{3}|x|

\newline

(B)

y=\frac{3}{5}|x|

\newline

(C)

y=-|x-5|+3

\newline

(D)

y=|x-3|+5

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Posted 4 months ago

Question

Aiden has

\$ 200

with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get

40

hats. If Aiden purchases only

t

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80

\mathrm{t}

-shirts. Which of the following best models the relationship between the number of hats,

h

, and the number of

\mathrm{t}

-shirts,

t

, that Aiden could purchase with this money?

\newline

Choose

1

answer:

\newline

(A)

40 h+80 t=400

\newline

(B)

80 h+40 t=200

\newline

(C)

5 h+2.5 t=200

\newline

(D)

2.5 h+5 t=200

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Posted 4 months ago

Question

We want to find the intersection points of the graphs given by the following system of equations:

\newline

\left\{\begin{array}{l} x-y=-4 \\ y=5(x+1)^{2}-3 \end{array}\right.

\newline

One of the intersection points is

(-2,2)

\newline

Find the other intersection point. Your answer must be exact.

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Posted 4 months ago

Question

Derrick has

\mathbf{2 2}

dollars. Colleen has

x

dollars. Which of the following represents the total amount of money Derrick and Colleen have, in dollars?

\newline

Choose

1

answer:

\newline

(A)

x-22

\newline

(B)

x+22

\newline

(C)

22 x

\newline

(D)

22 x+22

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Posted 4 months ago

Question

Wilber wants to make the pond in his backyard bigger. It is currently a cone with a radius of

30

meters and a depth of

15

meters. He wants to increase the radius to

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meters and the depth to

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meters. How much more water will the pond hold, in thousands of cubic meters?

\newline

(Round to the nearest thousand cubic meters.)

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Posted 25 days ago

Question

Abby is buying a rectangular widescreen TV that she will hang on the wall between two windows such that the longer side of the TV is horizontal. The windows are

36

inches apart horizontally, and a widescreen TV is approximately twice as wide as it is tall. Which of the following could be the diagonal length of a widescreen TV that fits between the windows?

\newline

Choose

1

answer:

\newline

(A)

32

inches

\newline

(B)

42

inches

\newline

(C)

55

inches

\newline

(D)

60

inches

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Posted 18 days ago

Question

Ari thinks the perfect milkshake has

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spoonfuls of caramel.

\newline

What will Ari think about the amount of caramel in Freeze Zone's milkshakes?

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answer:

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(A) Freeze Zone's milkshakes have too much caramel.

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(B) Freeze Zone's milkshakes have too little caramel.

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Posted 2 months ago

Question

Nayeli lights a

4 \mathrm{~m}^{2}

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space with

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of the same type of candles.

\newline

Whose space is lit brighter?

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Choose

1

answer:

\newline

(A) Nayeli's area

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(B) Citlali's area

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Posted 4 months ago

Question

Lashawn makes scrambled eggs with

3

spoonfuls of salsa for every

2

eggs. Gilberta adds

7

spoonfuls of salsa for every

5

eggs.

\newline

Whose scrambled eggs have a stronger salsa taste?

\newline

Choose

1

answer:

\newline

(A) Lashawn's eggs

\newline

(B) Gilberta's eggs

\newline

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Posted 2 months ago

View all (41)

Which sign makes the statement true?\newline∣−3∣\lvert -3 \rvert ∣−3∣ ? −7-7−7\newlineChoices:\newline(A) >>>\newline(B) <<<\newline(C) ===

Which sign makes the statement true? $\newline$ $\lvert -3 \rvert$ ? $-7$ $\newline$ Choices: $\newline$ (A) $>$ $\newline$ (B) $<$ $\newline$ (C) $=$