Order of Operations
Use the order of operations:
10 - 3 ⋅ 2
6
Solve for when a = 12 and b = 3:
a - b
9
Use the distributive property to write an equivalent expression:
6(v + 4)
6v + 24
Simplify by combining the like terms:
3a + 5b + 7a
10a + 5b
Use the order of operations:
17 - 5 ⋅ 3 + 8 ÷ 2
6
Solve for when m = 2 and n = 6:
3m + 4n
30
Use the distributive property to write an equivalent expression:
-9(2s + 4)
-18s - 36
Simplify by combining the like terms:
42x + 6 - 12x + 2
30x + 8
Use the order of operations:
42 + (7 - 3 x 1)2
32
Solve for when x = 5:
2x + 7x - 4x - 15
10
Use the distributive property to write an equivalent expression:
(5x + 8 -3p)4
20x + 32 - 12p
Simplify by combining the like terms:
8u2 - 4u + 7u + 6u2 - 9
14u2 + 3u - 9
Use the order of operations:
10 - (9 ⋅ -6)
64
Solve for when x = 3, y = 2, and z = 1:
8 + (2x - y) - 3z
9
Use the distributive property to write an equivalent expression:
-7(-3x - 2y + 4z + 12)
21x + 14y - 28z - 84
Simplify by distributing and then combining the like terms:
8(a + b) + 4(3a - 2b)
20a
Use the order of operations:
8 – 2(2 + 62) ÷ 4 + (-6 x -2)
1
Solve for when a = 5, b = -4, and c = 8
(5a + 4b)2 - 4(2c + 2a)
-23
Use the distributive property to write an equivalent expression:
9(-4f + 19g - 3h + 14j - 7k - 12m + 11)
-36f + 171g - 27h + 126j - 63k - 108m + 99
Simplify by distributing and then combining the like terms:
4(5x - 6y + 3) + 3x - 4 - 2(x + 2y)
21x - 26y + 8