Math Problem Solving Quiz

How much more money does Elsa have than Jesse? Use the table to answer.

• -30 + 45 = $15

• 45 - 30 = $15

• 45 - (-30) = $75

• -30 - 45= -$75

Answer explanation

To find how much more money Elsa has than Jesse, we calculate 45 - (-30). This simplifies to 45 + 30, which equals 75. Thus, the correct choice is 45 - (-30) = $75.

How much do Sam and Ellis have combined? Use the table to answer.

Answer explanation

To combine means to add. Therefore, you should add Sam's bank balance of -$15 and Ellis's balance of $25. The calculation is: -15 + 25 = 10. Since one number is negative and the other is positive, you subtract and keep the sign of the number with the greater absolute value. In this case, the result is $10 or simply 10.

In a card game, the winner must have a sum greater than -3 in order to win. What is the sum of the four cards below?​​ (a)   Did they ​ win?​ (b)  

• -1

• 0

• -4

• -2

• 17

• Yes

• No

Answer explanation

The sum of the four cards is -1. Since -1 is greater than -3, the player wins. Therefore, the correct answers are -1 and Yes.

A scuba diver dove to 20 feet below the surface of the water. He then dove an additional 32 feet. What is the depth of the scuba diver?

Answer explanation

The diver first went 20 feet down, then an additional 32 feet. To find the total depth, add -20 + -32 = -52 feet. The correct answer is -52 feet, which can be expressed as '-52 ft', '-52feet', or '-52 ft'.

Alejandro has $18 dollars in his checking account. He then writes a check for $26. What is the balance of Alejandro’s bank account?

Answer explanation

Alejandro has $18 and writes a check for $26, resulting in a negative balance of $8. He made an overdraft.

A quarterback dropped back 10 yards behind the line of scrimmage. Then, he passed the ball 26 yards. How far past the line of scrimmage did the ball travel?

Answer explanation

The quarterback was 10 yards behind the line of scrimmage and passed the ball 26 yards forward. Therefore, the ball traveled 26 - 10 = 16 yards past the line of scrimmage.

Alexis owed her brother $30. After her birthday, she was able to pay him back and still have $35. How much money did Alexis receive for her birthday?

Answer explanation

Alexis owed $30 and had $35 left after paying her brother. This means she had $30 + $35 = $65 before paying him back.

At the beginning of the day, the temperature is -8°F. As the sun comes out, it warms to a high of 15°F.

Answer explanation

To find the difference in temperature, subtract the starting temperature from the highest temperature: 15°F - (-8°F) = 15°F + 8°F = 23°F.

For questions 9-13, match the cards A-E to the equation they represent, then solve the equation.

• 1 - 8 = -7

• 
• -5 + 3 = -2

• 
• -4 - 6 = -10

• 
• 8 + (-2) = 6

• 
• 2 - (-5) = 7

• 

Solve each of the following integer problems. Sketch a model if necessary. Drag and drop each solution to correct equation.

-8 + (-5) =​ (a)   -10 + 4 =​ (b)   2 - (-7) = ​ (c)   8 - (-15) = ​ (d)  

• -13

• -6

• 9

• 23

Answer explanation

For -8 + (-5), the result is -13. For -10 + 4, the result is -6. For 2 - (-7), it becomes 2 + 7, resulting in 9. For 8 - (-15), it becomes 8 + 15, resulting in 23. Thus, the correct answers are -13, -6, 9, and 23.