Operations with Integers
5 x (-4)
-20
Jake is thinking of a number. He adds 3 to his number, and the result is 32. What was his number?
29
2x + 1 = 17
x = 8
2x + 3 + 4x + 8
6x + 11
2x + 3 + 5x = 31
x = 4
-7 + 13
6
Kelsey is thinking of a number. She doubles it, then adds 7. The result is 25. What was her original number?
9
3x - 8 = 28
x = 12
4(x + 3)
4x + 12
3(2x + 1) = 33
x = 5
-4 - (-9)
5
Livvy baked some cookies. She gave half to her brother Sam, then ate 3. Her dog Zeke snuck 2 off the counter. If there are 11 cookies left, how many did Livvy bake?
32 cookies
-4x + 5 = -7
x = 3
3 + 2(x + 4)
2x + 11
2(3x - 1) + 4x = 28
x = 3
(-5)2
25
The Cooking Club made some pies to sell as a fundraiser. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?
8 pies
x/3 + 6 = 1
x = -15
4x + 7(x - 1) - x
10x - 7
-4(2x + 2) - 4x + 7 = -73
x = 6
-4 - (9 - 12) + (-2)2
3
Jude earned some money mowing lawns over the summer. He put half into savings, then spent $40 on a new scooter. He earned an extra $20 babysitting, then spent $15 on lunch with his friends. If he ended up with $75, how much did he earn from mowing lawns?
$220
24 = -2(x + 7)
x = -19
-2(3x + 1) + 4x + 5 - 3x
-5x + 3
-6(4x - 3) + 2(3 + x) - 5x = -3
x = 1