Questions 1-10 : Write the given verbal phrase as mathematical expression.
1) The sum of five times a number and eight.
2) Ztwo2 times the sum of 7 times a number and 4.
3) 7 less than 4 times a number.
4) One fifth of sum of 3 times a number and 9.
5) One seventh of 3 less than 4 times a number.
6) 5 times of a number is decreased by 8.
7) 6 times of a number is increased by 15.
8) 7 less than 3 times the sum of a number and 6.
9) 3 times the difference between a number and 8.
10) One fourth of 3 times the difference between a number and 6.
11. Evaluate the following expression for x = 3 and y = 5.
3x + 2y
12. Evaluate the following expression for m = 5 and n = 2.
m^{2} + 2mn^{2}
13. Evaluate the following expression for s = 5.
s^{2} + 7s - 2
14. Evaluate the following expression for m = 1/3.
18m^{2} + 3m + 7
15. Evaluate the following expression for m = 13.
m^{2} + m - 54
16. Evaluate the following expression for x = 3 and y = 5.
x^{2} + y^{2}
17. Evaluate the following expression for m = 5 and n = 2.
5m^{2} + 2m^{2}n
18. Evaluate the following expression for s = 6.
s^{2} - 3s + 10
19. Evaluate the following expression for x = 2 and y = -5.
x^{2} - 3y^{2}
20. Evaluate the following expression for m = 3.
(2m^{2} + 5m - 7)/2
1. Answer :
5x + 8
2. Answer :
2(7x + 4)
3. Answer :
4x - 7
4. Answer :
(3x + 9) / 5
5. Answer :
(4x - 3) / 7
6. Answer :
5x - 8
7. Answer :
6x + 15
8. Answer :
3(x + 6) - 7
9. Answer :
3(x - 8)
10. Answer :
3(x - 6) / 4
11. Answer :
3x + 2y
Substitute 3 for x and 5 for y into the given expression.
3x + 2y = 3(3) + 2(5)
= 9 + 10
= 19
m^{2} + 2mn^{2}
12. Answer :
m^{2} + 2mn^{2}
Substitute 5 for m and 2 for n into the given expression.
m^{2} + 2mn^{2 }= 5^{2} + 2(5)(2)^{2}
= 25 + 40
= 65
13. Answer :
s^{2} + 7s - 2
Substitute 5 for s into the given expression.
s^{2} + 7s - 2 = 5^{2} + 7(5) - 2
= 25 + 35 - 2
= 58
14. Answer :
18m^{2} + 3m + 7
Substitute 1/3 for m into the given expression.
18m^{2} + 3m + 7 = 18(1/3)^{2} + 3(1/3) + 7
= 2 + 1 + 7
= 10
15. Answer :
m^{2} + m - 54
Substitute 13 for s into the given expression.
m^{2} + m - 54 = 13^{2} + 13 -54
= 169 + 13 - 54
= 128
16. Answer :
x^{2} + y^{2}
Substitute 3 for x and 5 for y into the given expression.
x^{2} + y^{2 }= 3^{2} + 5^{2}
= 9 + 25
= 34
17. Answer :
5m^{2} + 2m^{2}n
Substitute 5 for m and 2 for n into the given expression.
5m^{2} + 2m^{2}n = 5(5)^{2} + 2(5)^{2}(2)
= 5(25) + 2(25)(2)
= 125 + 100
= 225
18. Answer :
s^{2} - 3s + 10
Substitute 6 for s into the given expression.
s^{2} - 3s + 10 = 6^{2} - 3(6) + 10
= 36 - 18 + 10
= 28
19. Answer :
x^{2} - 3y^{2}
Substitute 2 for x and -5 for y into the given expression.
x^{2} - 3y^{2 }= 2(2)^{2} - 3(-5)^{2}
= 2(4) - 3(25)
= 8 - 75
= -77
20. Answer :
(2m^{2} + 5m - 7)/2
Substitute 3 for m into the given expression.
(2m^{2} + 5m - 7)/2 = [2(3)^{2} + 5(3) - 7]/2
= [2(9) + 15 - 7]/2
= (18 + 15 - 7)/2
= 26/2
= 13
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