Pre – alg rev order of operations 6a
1) Please evaluate the following expressions using order of operations
a) [44 ÷ (10 – 8)²] + 7
c) 3[2(13 – 9) + 8] + 2
b) 2[(9 + 5) – 12] ÷ 4
d) 8 + 4³ ÷ 8 – 3
e) 18 + 54 ÷ 6
f)
(37−26)2 −6
32÷22 −(42 −13)
2. Please evaluate the following expression using the given values
a) 24 – 3x³
when x = 2
b) a² - b ÷ 4 when a = 5 and b = 8
d) x² ÷ 5 • 3 when x = 5
e) 5x² - 6 when x = 3
c) 3y - x² • 4 when x = 2 and y = 6
f) 16y – y² when y = 6
3) Please evaluate the following expressions using order of operations
72 −(12−32 )²
a) [
[42 −(5+3)]
]²
b) 2 • 3² ÷ 3
c) 7 + 15 ÷ 3 – 4
e) 4 • 5² + 9
d) 30 – 20 ÷ 5 • 3
f) 12 + 36 ÷ 2² ÷ 3
4. Please evaluate the following expression using the given values
a)
2𝑎+3𝑏
𝑎2 −5
when a = 4 and b = 1
d) 4w² when w = 5
b) 6 + x⁴ ÷ x where x = 2
e) 2x² + (2y)² where x = 4 and y = 3
c) (4w)² when w = 5
f) 3x² - y ÷ 2 where x = 2 and y = 6
5. Please evaluate the following expressions using order of operations
A) 16 ÷ (8 – 4) + 9
c) 5(3)² - 6
e) [4 – 20 ÷ 10 + 7]²
b) [12 + (6² - 6)] ÷ 2
d) 2[(9 – 8)² + (12 – 5)²]
f) 10 – (2³ + 4) ÷ 3 - 1
6. Use grouping symbols to make each equation true:
a) 9 + 3 – 2+ 4 = 6
c) 16 – 4 ÷ 2 + 3 = 9
e) 30 – 20 ÷ 5 • 3 = 6
b) 4² - 5 • 2 + 1 = 1
d) 3 • 4 + 5 – 2 + 7 = 28
f) 4 • 5² + 9 = 409
7. Please evaluate the following expression using the given values
a) (2x)²y – 2z² where x = 2, y = 4 and z = 3
b) 3xy ÷ (xy) + 6 where x = 4 and z = 8
8. Evaluate using order of operations
a) (3³ - 4) + 5²
c) (2 • 4)²• 8
e) 4 + 7 • 2
b) 28 ÷ (3 + 2²)
d) 9(33 – 5²) ÷ 2
f) 4 + 10 ÷ 2 + 3
9. Evaluate the following using c = 3 and d = 5
a) d³ ÷ (15 – 2c)
c) cd² + 4
e) 3d • 2 ÷ c
b) (2 + d)² - 3²
d) (3c² - 3d)² - 21
f) (4c)² ÷ (d – 2)