Question 1 :
Evaluate :
[(72 - 9) ÷ 8]2
Question 2 :
Evaluate :
{11 - 20 ÷ [(52 - 13)/3] + 8} ⋅ 2
Question 3 :
Evaluate :
19 - 3{20 - [(24 - 7)/4] x 8}
Question 4 :
Evaluate :
[72 ÷ 32 ⋅ 2]/6
Question 5 :
Evaluate :
53 - (1/2)(12 + 12 ÷ 3)
Question 6 :
Evaluate the following expression if a = -2, b = 3 and c = 5.
(2c/a)2 - 10[(a + b)/a)]
Question 7 :
Evaluate the following expression if x = 4, y = 1 and z = -3.
9 - 2x ÷ (z + y)3
Question 8 :
Evaluate the following expression if a = 4, b = -3 and c = 7.
a3 - [(b2 + c)/a) + (ab + c)
1. Answer :
= [(72 - 9) ÷ 8]2
Evaluate power inside grouping symbols.
= [(49 - 9) ÷ 8]2
Evaluate expression inside grouping symbols.
= [40 ÷ 8]2
Divide 40 by 8.
= [5]2
Multiply 5 and 2.
= 10
2. Answer :
= {11 - 20 ÷ [(52 - 13)/3] + 8} ⋅ 2
Evaluate power inside grouping symbols.
= {11 - 20 ÷ [(25 - 13)/3] + 8} ⋅ 2
Evaluate expression inside grouping symbols.
= {11 - 20 ÷ [12/3] + 8} ⋅ 2
Evaluate expression inside grouping symbols.
= {11 - 20 ÷ 4 + 8} ⋅ 2
Divide 20 by 4.
= {11 - 5 + 8} ⋅ 2
Subtract 5 from 11.
= {6 + 8} ⋅ 2
Evaluate expression inside grouping symbols.
= 14 ⋅ 2
Multiply.
= 28
3. Answer :
= 19 - 3{20 - [(24 - 7)/4] x 8}
Evaluate power inside grouping symbols.
= 19 - 3{20 - [(16 - 7)/4] x 8}
Evaluate expression inside grouping symbols.
= 19 - 3{20 - [9/4] x 8}
Multiply 9/4 and 8.
= 19 - 3{20 - 72/4}
Divide 72 by 4.
= 19 - 3{20 - 18}
Evaluate expression inside grouping symbols.
= 19 - 3{2}
Multiply 3 and 2..
= 19 - 6
= 13
4. Answer :
= [72 ÷ 32 ⋅ 2]/6
Evaluate power inside grouping symbols.
= [72 ÷ 9 ⋅ 2]/6
Divide 72 by 9.
= [8 ⋅ 2]/6
Multiply 8 and 2.
= 16/6
= 8/3
5. Answer :
= 53 - (1/2)(12 + 12 ÷ 3)
Evaluate power.
= 125 - (1/2)(12 + 12 ÷ 3)
Evaluate expression inside grouping symbols (divide 12 by 3).
= 125 - (1/2)(12 + 4)
Evaluate expression inside grouping symbols.
= 125 - (1/2)(16)
Multiply 1/2 and 16.
= 125 - 16/2
Divide 16 by 2.
= 125 - 8
= 117
6. Answer :
= (2c/a)2 - 10[(a + b)/a)]
Substitute a = -2, b = 3 and c = 5.
= (2 ⋅ 5/(-2))2 - 10[(-2 + 3)/(-2)]
Evaluate expression inside grouping symbols.
= (10/(-2))2 - 10[(1/(-2)]
= (-5)2 - 10[-1/2]
Evaluate power.
= 25 - 10[-1/2]
Multiply 10 and -1/2.
= 25 + 10/2
= 25 + 5
= 30
7. Answer :
= 9 - 2x ÷ (z + y)3
Substitute x = 4, y = 1 and z = -3.
= 9 - 2 ⋅ 4 ÷ (-3 + 1)3
Evaluate expression inside grouping symbols.
= 9 - 2 ⋅ 4 ÷ (-2)3
Evaluate power.
= 9 - 2 ⋅ 4 ÷ (-8)
Multiply 2 and 4.
= 9 - 8/(-8)
Divide 8 by -8.
= 9 - (-1)
= 9 + 1
= 10
8. Answer :
= a3 - [(b2 + c)/a) + (ab + c)
Substitute a = 4, b = -3 and c = 7.
= 43 - [((-3)2 + 7)/4) + (4(-3) + 7)
Evaluate 43, (-3)2 and 4(-3).
= 64 - [(9 + 7)/4)] + (-12 + 7)
Evaluate expression inside grouping symbols.
= 64 - [16/4] + (-5)
Divide 16 by 4.
= 64 - 4 + (-5)
= 64 - 4 - 5
= 60 - 5
= 55
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