Unit 7 Review

The diagram shows a lighthouse located on a 40-foot cliff and a sailboat floating on the surface of the water. The top of the lighthouse is approximately 135 feet above the surface of the water. Which statement correctly represents the meaning of 0 ft in this situation?

• It represents the surface of the water and the elevation of the cliff, which are both at sea level.

• It represents the surface of the water and the elevation that the sailboat is floating, which are both at sea level.

• It represents the surface of the water and the elevation that the sailboat is floating, which are both below sea level.

• It represents the surface of the water and the elevation of the cliff, which are both above sea level.

The lowest temperature ever recorded in the U.S. was −59.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following best explains what that temperature means?

• It means the temperature was 59.8 °F more than one.

• It means the temperature was 59.8 °F less than zero.

• It means the temperature was 59.8 °F less than one.

• It means the temperature was 59.8 °F more than zero.

Which point on the number line represents the opposite of 4?

• point P

• point Q

• point R

• point S

Which expression shows (40 + 16) in the form of c(a + b) , where c is the greatest common factor of 40 and 16?

• 4(10 + 4)

• 8(5 + 2)

• 16(5 + 1)

• 2(20 + 8)

Jasmine wants to apply the distributive property to simplify the addition problem shown so that the numbers left in the parentheses have the smallest common factor possible. (42 + 30) Which expression is equivalent and has numbers in the parentheses whose only common factor is 1?

• 6(7 + 5)

• 3(14 + 10)

• 2(21 + 15)

• 42(1 + 30)

Sarah has 5 less than 3 times the number of books that Tom has. If Tom has y books, which expression shows the number of books Sarah has?

• 3y - 5

• 5y - 3

• 3y + 5

• 7y

Point P is plotted on the coordinate grid below. What are the coordinates of point B?

• (−5.5, 4.5)

• (−6.5, 4.5)

• (4.5, −5.5)

• (−5.5, 5.5)

It is reported on the local weather broadcast that the day's temperatures will stay between −5° and 5°. Which of these represents a series of temperatures that could occur during the day? (Assume all temperatures are measured in degrees Fahrenheit.)

• −10°, −5°, 5°, 10°

• 4°, 5°, 6°, 7°

• −3°, −1°, 0°, 2°

• −10°, −9°, −7°, −5°

Which statement is true when x = – 4 and y = |–4|?

• x > y

• x = y

• |x| = y

• |x| > y

Which of the following is closest in value to 0?

• | – 5|

• | + 4|

• | – 1|

• | + 5|