Unit 5 Review

Which scenario could be represented by the number line below?

• Joey is standing on a dock that is 7 feet above sea level

• Billy owes his mom $8

• A football team gained 8 yards on the last play, and their opponents lost 5 yards.

• The temperature was 8 degrees below zero

Answer explanation

It's important to look for key words.

"gained", "increase" and "above" indicate a positive number.

"Lost", "decrease", and "below" indicate a negative number.

Tags

CCSS.6.NS.C.5

Determine which expressions equal -20

• -(-20)

• (-20)

• -|-20|

• |-20|

• -|20|

Answer explanation

The parenthesis represent multiplication. The first option is representing a negative times a negative, which is a positive.

Absolute value will always represent in a positive number because distance is always positive, but if there is a negative outside the absolute value, the final answer will be negative.

Tags

CCSS.7.NS.A.1B

Jenn spent the day at camp. Use absolute value to determine at which part of her camp trip she was furthest from sea level.

• She dove 9 feet below sea level in the lake.

• She walked up a small hill to an elevation of 12 feet above sea level.

• She had lunch at sea level.

• She hiked down a canyon, which was 24 feet below sea level.

Answer explanation

You should have used absolute value here. Sea level is at 0 feet.

Tags

CCSS.7.NS.A.1C

Select the true statements:

• 4 < -5

• -5 > 5

• -15 < -12

• -8 > -10

Answer explanation

Positive numbers are always greater than negative numbers.

The further left on the number line, the smaller the number. The further right, the bigger the number.

You have to think backwards when comparing two negative numbers. Think about it in terms of debt.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Which of the following points are on the y-axis? Select all that apply.

• (5, 0)

• (0, -9)

• (6, 2)

• (4, -8)

• (0, 12)

Answer explanation

Any point with an x-value of 0 will be on the y-axis because it did not move left or right from the origin.

Tags

CCSS.6.NS.C.6B

Which ordered pair below is not located on the coordinate plane?

• (6, 5)

• (-6, 6)

• (-6, -6)

• (5, -6)

Tags

CCSS.6.NS.C.6C

Which of the statements below are not from least to greatest?

• -7, -3, -1, 0, 5

• -0.3, -0.35, -0.6, -0.9

• -2 and 2/3, -6/4, -4/5, 0

• -1 and 1/2, -2, -1/3

• -1.2, -1, -0.5, 0.7

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

The ordered pair (7, -2) is reflected over which axis on the coordinate plane to become (-7, -2)?

• a-axis

• b-axis

• x-axis

• y-axis

Answer explanation

Whatever coordinate stays the same, that is what axis it is reflecting over.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Jessica is traveling to visit her friend. She is located at (-2, 5) and her friend is located at (9, 5). How far away are each other?

Answer explanation

Draw a picture and count how far away the two points are.

Tags

CCSS.HSG.GPE.B.7

A quadrilateral has the vertices (4, 6), (7, 6), (7, 3), and (4, 3), What is the area of the figure in units squared?

Answer explanation

First, graph. Then, find that the length and width are both 3.

Area = length x width

Area = 3 x 3

Area = 9

Tags

CCSS.HSG.GPE.B.7