Study Guide for Opposites and Addition

From a ledge on a rock wall, George climbs 30 feet. From there, he climbs -30 feet. What conclusion can you draw?

• He is below the ledge because -30 feet represents going down.

• He is above the ledge because he started by going up 30 feet.

• He can be either above or below because the size of the ledge is unknown.

On Monday, Hailey spends $14. After babysitting she is paid $14. What conclusion can you draw?

• The amounts cannot be compared since the amount of money she had to start is unknown.

• She has more money that she had to start because 14 + 14 = 28.

• She has less money than she had to start because -14 + (-14) = -28.

For which situation do the quantities combine to make 0?

• A football team gains 36 yards and then gains 36 more yards.

• A football team gains 10 yards and then loses 10 yards.

• A football team gains 12 yards and then loses 18 yards.

• A football team gains 17 yards and then loses 2 yards.

Which scenario matches the sum -3 + 11 = 8?

• A football team gained 3 yards and then lost 11 yards for a net gain of 8 yards.

• A football team gained 3 yards and then lost 11 yards for a net loss of 8 yards.

• A football team lost 3 yards and then gained 11 yards for a net gain of 8 yards.

• A football team lost 3 yards and then gained 11 yards for a net loss of 8 yards.

Which scenario matches the sum 26 + (-35) = -9?

• The temperature increased by 26 degrees during the day, but fell 35 degrees during the night for a net increase of 9 degrees.

• The temperature increased by 26 degrees during the day, but fell 35 degrees during the night for a net decrease of 9 degrees.

• The temperature decreased by 26 degrees during the day, and fell 35 degrees during the night for a net decrease of 9 degrees.

• The temperature increased by 26 degrees during the day, and increased 35 degrees during the night for a net increase of 9 degrees.

Which number line represents the following expression? (9) + (-6)

• 
• 
• 
• 

Which expression is represented by the model?

• 4 + (-3) = 1

• (-3) + 4 = 1

• 7 - 3 = 4

• (-3) + 7 = 4

A shark is swimming under the water at a depth of -25 feet. It swims 15 feet up toward the surface. Which equation represents the new depth of the shark?

• -25 + (-15) = -10

• -25 + 15 = 10

• -25 + 15 = -10

• -25 + (-15) = -40

Trinh has $14.44 in her school lunch account. She spends $7.75 on lunches and deposits $6.50. What is her new balance?

• $28.69

• $13.81

• $13.19

• $0.19

During one week, Brittney made several changes to her bank account. She made two withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375. How much did her bank account change during that week?

• It increased $139.

• It decreased $139.

• It increased $451.

• It decreased $451.