Concepts
Additive Inverse
Absolute Value
The change
Real Context
100

What is the additive Inverse?

The opposite of the number. What you add to the number to bring the value to 0.

100

What is the additive inverse of -23 3/4  written as a decimal?

23.75

100

A helicopter is flying 200 𝑓𝑑 above the ocean. It is directly above submarine that is 90 𝑓𝑑 below sea level. Which expression could be used to calculate how far apart the helicopter is from the submarine?

|200 - (-90)|

100

Ingvar is playing a video game that takes away points for losing treasures. His current score is -56.2, and then he loses a treasure worth 27.7 points. Write an expression and show his score.

-56.2 - 27.2 = -83.9

100

Describe a situation in which oppposite quantities combine to make 0.

varies

200

What symbol represents absolute value? 

|  |

200

Which situation represents the expression -10 + 10? Circle the letter of the correct answer.

A. Xander hikes 10 feet up a mountain and then comes back down.

B. Julia borrowed $10 from me and then paid me back.

C. Yolanda added 10 coins to a jar that already contained 10 coins.

B

200

| -1/2 - (-5) | 

4 1/2  or 4.5

200

The temperature in Canada is βˆ’2.1°𝐢 while the temperature in the Bahamas is 38.8°𝐢. How many degrees apart are the temperatures?

40.9 degrees

200

Savana walks 3 1/2 miles to the local park.  On her way  home, she stops at Randolph’s house after 1 2/3 miles  to pick up a book. Write and evaluate a subtraction  expression to find how much farther Savana must  walk to get home. Use decimals and estimate.

3.5 - 1.67 = 1.67 miles

300

a ratio is a....

fraction that can be writte as a decimal too!

300

βˆ’1/2 + 5/7 + 1/2 + (βˆ’5/7)

0

300

On the number line below, x and y are the same distance from 0. If x is positioned at 4, place y in its correct place on the number line. x + y = ?

                                                       X     ______________________________________

 -5   -4   -3   -2   -1    0    1    2    3    4    5

-4, 0.

300

Malik earns an average of 4 1/2 points on his daily quizzes. Near the end  of the quarter, his average decreases by 3/4 point. Write and evaluate a subtraction expression to find his current quiz grade average.

4 1/2 - 3/4 = 3 3/4 points

300

An architect plans a courtyard with a width of 16.4 yards, then learns its width must change by -2.3 yards. Write an expression and show the new width?

16.4 + (-2.3) = 14.1 yards

400

What is absolute value?

The distance from zero. 

400

Which expressions show a sum of 7?

A. -7 + 7

B. 15.2 + (8.2)

C. βˆ’3 1/2 + 10 1/2

D. βˆ’13.9 + 6.9

E. βˆ’1+8

C, E

400

Julio's football team gained 5 yards from their starting position on their first play. On the second play, his team lost 12 yards. On the third play, the team gained 9 yards. Is the team at their starting position? 

No they are at 2.

400

Jayvon has 33.6 points in a competition. He loses 5.5 points. Write and  evaluate an addition expression to determine Jayvon’s current points.

33.6 + (-5.5) = 28.1

400

Mr. Leander bought two shirts for a total of $46.72. He returned  one of the shirts for a refund of $24.61. Write and evaluate an addition  expression to show what Mr. Leander paid for the shirt he kept

46.72 + (-24.61) = $22.11

500

A football team loses 3.5 yards on their first play. On the next play, they gain 3 1/2 yards. What is the overall increase or decrease in yards ?

0

500

Joseph removes 5/8 gallon of white paint from a can.  Then he adds 5/8 gallon of blue paint to the can. Write and evaluate an addition expression to find the overall increase or decrease in the amount of paint in the can.

-5/8 + 5/8 = 0

500

A bird is flying 23 𝑓𝑑 above sea level while a dolphin follows the bird from 5 𝑓𝑑 below sea level. Write an equation to reflect the distance between the bird and the dolphin?

|23 - (-5)| = 28 feet apart

500

Scientists are studying the effects of  increased temperature, which causes bleaching  on coral reefs. A scientist dives at two different  reefs, one located 34 1/2 feet below sea level and one  at 26 1/4 feet below sea level. Write and evaluate  a subtraction expression to find the change in  elevation needed in order for the diver to reach the deeper reef.

34 1/2 - 26 1/4 = 8 1/4  

or -8 1/4 because diver is descending.

500

Brock rides a bike 22 1/8 miles to the nature preserve. On his way home, after 16 1/5 miles, he stops for lunch. How far is Brock from home? Write and evaluate an addition expression to solve the problem.

22 1/8 + (-16 1/5) = 5 37/40 = 5.925 miles away from home