Basic Math Exercises

Basic Math Exercises

Give your answer as a fraction. Reduce as much as possible.

Exercise 1: (1)/(4 + 7) = ?
Exercise 2: (4 + 7)/(5) = ?

Exercise 3: (1)/(2) + (1)/(2) = ?

Exercise 4: (1*4)/(28) = ?

Exercise 5: (3)/(6 + 3) = ?
Exercise 6: (9)/(3*6) = ?

Exercise 7: (1)/(2) + (1)/(3) = ?

Exercise 8: (4)/(28)*(1)/(3) = ?

Exercise 9: (1)/(7) − (2)/(9) = ?
Exercise 10: (7)/(5) + 2 = ?

Exercise 11: (3)/(4)÷(5)/(2) = ?
Exercise 12: (3)/(28) + (2)/(3) = ?

Exercise 13: (3 + 6)/(6 + 3) = ?
Exercise 14: (9)/(3*6) + (1)/(2) + (2)/(3) = ?
In the following exercises, solve for the variable:
Exercise 15: x*5 = 5

Exercise 16: y − 7 = 12
Exercise 17: (1)/(x) + (1)/(2) = (1)/(4)
Exercise 18: x2 = 4

Exercise 19: y2 − 7 = 2
Exercise 20: 3g2 = 75
Exercise 21: xy = 25 if y = 5

Exercise 22: y − 7 = z if z = 19
Simplify:
Exercise 23: x*x2 = ?
Exercise 24: x2*x2 = ?

Exercise 25: y5 ⁄ y3 = ?

Exercise 26: y5 − y3 = ?
Complete the following conversions:
Exercise 27: 5kg = ___g
Exercise 28: 580mg = ___kg

Exercise 29: 5m = ___cm
Exercise 30: 5m = ___mm
Exercise 31: 454, 000mg = ___g
Exercise 32: 0.00009cL = ___mL

Exercise 33: 5mm = ___cm
Exercise 34: 5.5mm = ___cm
Exercise 35: 5kZ = ___Z
Exercise 36: 580mQ = ___kQ

Exercise 37: 5P = ___cP
Exercise 38: 5F = ___mF
Exercise 39: 454, 000mA = ___A
Exercise 40: 0.00009cV = ___mV

Exercise 41: 5mm = ___cm
Exercise 42: 5.5mΩ = ___cΩ

Exercise 43: 5kΩ = ___Ω
Exercise 44: 580mA = ___kA

Exercise 37: 5Ω = ___cΩ
Exercise 45: 5F = ___nF
Exercise 46: 454, 000μA = ___A
Exercise 47: 0.00009V = ___nV

Exercise 48: 5mm = ___cm
Exercise 49: 5.5mΩ = ___cΩ
Solve for the unknown variable:
Exercise 50:
x + y = z
Find z if x = 5and y = 3
Exercise 51:
x*y = z
Find z if x = 5 and y = 3
Exercise 52:
x2 + y3 = z
Find z if x = 5 and y = 3
Exercise 53:
I*R = V
Find V if I = 5 and R = 3
Exercise 54:
I*R = V
Find I if V = 6 and R = 3
Exercise 55:
I*R = V
Find R if I = 5 and V = 325
Exercise 56:
I*R = V
Find I if V = 6 and R = 3000
Solve for the variable:
Exercise 57: (1)/(x) = (1)/(2) + (1)/(2)
Exercise 58: (1)/(x) = (1)/(2) + (1)/(3)
Change the following fractions to decimals. You may use a calculator or computer:
Exercise 59: (1)/(2)
Exercise 60: (1)/(4)
Exercise 61: (1)/(8)
Exercise 62: (3)/(8)
Exercise 63: (1)/(222)
Exercise 64: (1)/(2700)
Exercise 65: (22)/(7)
Exercise 66: (9)/(2)
Solve for the variable. You may express the answer as a decimal. You may use a calculator or computer:
Exercise 67: (1)/(x) = (1)/(20) + (1)/(30)
Exercise 68: (1)/(x) = (1)/(270) + (1)/(330)
Exercise 69: (1)/(x) = (1)/(2200) + (1)/(980)
Exercise 70: (1)/(x) = (1)/(1500) + (1)/(2700)
Exercise 71: (1)/(x) = (1)/(20) + (1)/(30) + (1)/(25)
Exercise 72: (1)/(x) = (1)/(2.70) + (1)/(3.30)
Exercise 73: (1)/(x) = (1)/(27.3) + (1)/(33.2)
Exercise 74: x = y(3)/(33.2) if y = 7
Exercise 75: z = f(3 + 8.5)/(22.9) if f = 7.2
Exercise 76: vout = vin(3.3)/(3.3 + 2.2) if vin = 9
Exercise 77: vout = vin(3.3)/((9 + 16)) if vin = 9
Exercise 78: vout = vin(3.3)/((32 + 42)) if vin = 9

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