Integer Word Problems
Hands on Equations Level 2
Hands on Equations Level 3
Integer Operations
Substitution and Integers
100

A deep sea diver descends 50 feet below the water’s surface each minute.  What is the depth of the diver after 6 minutes?  Write and solve a math sentence

(-50)x6=-300 feet

100

Solve for X and *.

 2X + * + 5=2X

X=5, * = -5

100

What is x? What is *?

2(x - 3) + 5* = 2* + 4

x= -10 and * =10

100

-7 - 8

-15

100

 x2 + 2 - 6x=?   When x=8 

18

200

Josh’s checking account claims he is $30 in debt. He babysits for 4 hours and makes $10 every hour and deposits this money into his checking account. What would Josh’s current balance be?

(-30) + 4x(10) = (-30) + 40 = $10

200

Solve for X and *.

3* + x + 2=2X + 10

X = -2, and * = 2

200

What is x? What is *?

2x - 3(-x) - 5 = 7 + (-x)

x = 2 and * = -2

200

-224 / 8

-28

200

-91 ÷ 7

-13

300

The temperature at 4:00 A.M. was -8 degrees Fahrenheit.  At 6:00 P.M. the temperature was 12 degrees Fahrenheit.  What was the change in temperature from 4:00 A.M. to 6:00 P.M.?   Write and solve a math expression.

12 - (-8) = 12 + (+8) = 20 degree temperature change

300

Solve for X and *.

2(-x + 3) + 5x = x + 20

x = 7, and -x = -7

300

What is x?  What is *?

3(-x) + 2 = -10 + x

x = 3 and -x = -3

300

-8 + 12

4

300

9x + 3y = ? when x=4 and y =3

45

400

Joe plays running back on the football team.  Sometimes he gains yardage (+5 means a 5-yard gain).  Sometimes he loses yardage (-3 means a 3-yard loss).  Determine Joe's total yardage in each game below.

play 1:    +4         

play 2:     - 6     

play 3:     +7     

play 4:     +1       

play 5:     - 8        

-2 yards lost in total

400


x/4=12

x=48

400

What is x?  What is *?

3x - 2(* + 4) = 2x + 1 

x = 3 and * = -3

400

-9 * -4

36

400

-13 * -24

312

500

The temperature each day is shown below.  What was the average (or mean) temperature?

Monday: 2

Tuesday:  -7

Wednesday: 8

Thursday: -4

Friday: -1


-2/5

500

Solve for x and (-x)

3x + 2(-x) + x + 3 = x + 9

x = 6, and (-x) = -6

500

What is x?

x + 4 = -6

x = -10

500

-4 - (-5)

1

500

16 + -22

-6

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