MCI Electronic Mathematics 2018-08

1) Find the result by dividing the following equation: 9a^3b^2/-3ab^2 = 2) Divide the following expressions: 44a^2b^3c - 28a^3b^2c^2 + 4a^2b^2c Dvided by 4abc =

1) 2) 11ab^2 - 7a^2 bc + ab

1) Factor the following: a^2 - 16b^2 2) Factor the following: a^2 - 25b^2

1) (a-4b) (a+4b) 2) (a-5b) (a=5b)

1) Subtract the following fractions: 1/2 - 2/4 - 6/12 = 2) subtract the following fractions: 3/5 - 4/6 - 3/9 =

1) -1/2 2) -6/15

1) The expression 48/-4 equals: 2) The expression 28/-4 equals:

1) -12 2) -7

1) Solve for x: (1.3x-1.5/30) = (.4x+3/5) 2) Solve for x: .6 - .4x = .4

1) -3 2) .5

1) Subtract the following and convert to an equivalent fraction: (2B/5) - (4B/8) 2) Subtract the following and convert to an equivalent fraction: (2E/8) - (3E/6) 3) Subtract the following and convert to an equivalent fraction: (7C/4) - (5C/9)

1) -B/10 2) -E/4 3) 43C/36

1) Any number raised to the zero power equals: 2) The expression xy^1-1 is equal to:

1) 1 2) 1

1) Find the square root of 144: 2) Find the square root of 81: 3) To remove a radical sign from a radicand or base number, you must _____________.

1) 12 2) 9 3) Make a fractional exponent

1) Add the following fractions: 5/16 + 3/8 + 1/4 = 2) Add the following fractions: 1/2 + 2/4 + 6/12 =

1) 15/16 2) 3/2

1) The expression (-2)*(-2)*(-2)*(-2) equals: 2) The expression (-4)*(-4)*(-4)*(-4) equals:

1) 16 2) 256

1) Show the greatest common factor of the following monomial: 10x + 7x = 2) show the greatest common factor of the following monomial: 6xy + 5xy =

1) 17x 2) 11xy

1) Convert the following improper fraction to a mixed number: 9/4 2) Convert the following improper fraction to a mixed number: 41/7 3) Convert the following improper fraction to a mixed number: 79/10

1) 2 1/4 2) 5 6/7 3) 7 9/10

1) Find the lowest common multiple of and combine the fractions: 2/4 , 1/5 , 1/6 2) Find the lowest common multiple of and combine the fractions: 2/4 , 5/25 , 6/36

1) 30 2) 20

1) Convert the following mixed number to an equivalent improper fraction: 6 1/5 2) Convert the following mixed number to an equivalent improper fraction: 3 1/8

1) 31/5 2) 25/8

1) The magnitude of a number 4 is _____________. 2) The magnitude of the number 3 is _________.

1) 4 2) 3

1) The expression 5 - 4 is the same as: 2) The expression 8 - 3 is the same as:

1) 5 + (-4) 2) 8 + (-3)

1) Subtract the following polynomials: 8xy^3 (-) 2xy^3. 2) Subtract the following polynomials: 10x-8xy^2 (-) 5x-xy^2.

1) 6xy^3 2) 5x-7xy^2

1) Multiply the following: (2.5*10^3)(3.10*10^5) 2) Multiply the following: (7.5*10^2)(.5*10^3)

1) 7.75*10^8 2) 3.75*10^5

1) Add the following and convert to an equivalent fraction: (2AB/8) + (2AB/6) 2) To compute the sum of literal fractions, the fractions must have ___________ denominators.

1) 7AB/12 2) Common

1) When a factor occurs one or more time in any numerator or denominator, when multiplying, it may be ____________. 2) The product of two or more fractions is the ________ of the _______ divided by the ___________ of the ___________.

1) Cancelled 2) Product, numerators, product, denominators

1) To factor trinomials, the first step is to _______. 2) Factor the following: 2a^2 - 2ab - 24b^2

1) Determine signs required to solve the trinomial. 2) 2(a+3b) (a-4b)

1) The expression 7(a+t) = 7a+7t is an example of the ____________. 2) The __________ property refers to regrouping of factors that does not affect the product for all real numbers in an expression.

1) Distributive property. 2) Associative

1) In the equation below, I is directly proportional to: I = E/R 2) In the equation below, I is directly proportional to: X = Y/Z

1) E 2) Y

1) When solving simultaneous linear equations that have three unknowns, you may use the _________ by ______________ method. 2) Solve for L1: 2L1 - 4L2 +6L3 =-8 & 10L1 - 5L2 + 3L3 = 8 & L1 + 2L2 + 4L3 = 17

1) Elimination , addition/ subtraction 2)

1) To multiply literal fractions, _____________ the numerators and denominators. 2) Multiply the following fractions: (4d/2e) * (6e/12)* (2/3d) =

1) Factor 2) 2/3

1) To raise a power of an exponent, keep the base and ___________ the powers. 2) To find the product of two or more powers with like bases, ________ the exponents. 3) To find the product of two or more like quantities containing ________, treat the __________ as exponents.

1) Multiply 2) Add 3) Powers of 10, Powers of 10

1) FOIL provides a four-step procedure to _________ more efficiently. 2) Find the product of the following equation: (x-y(4x-2y)=

1) Multiply binomials 2) 4x^2 - 6xy + 2y^2

1) ________, sometimes known as _________, are algebraic expressions consisting of two or more terms separated by a plus(+) and/or minus(-) sign. 2) What are expressions consisting of one term not separated by a plus(+) or minus (-) sign?

1) Polynomials, multinomials 2) Monomials

1) Which of the following signs or symbols is not a container of groups? 2) Remove the signs of grouping: 96-{10+4[-3+8-(11-15)(10-6)]}

1) Quotations " " 2) 2

1) The sign √ is called __________. 2) Select the radical that represents an irrational square root.

1) Radical sign 2) √5

1) A directed line segment showing magnitude and direction is known as a __________________. 2) The term "numerical expression" is defined as ________.

1) Vector 2) An expression consisting entirely of numbers separated by signs.

1) Assuming that neither a nor b equals zero, translate the following according to exponent law: ab/ab 2) Assuming that x does not equal zero, translate the following according to exponent law: 5x/5x

1) ab^1-1 2) 5x^1-1

1) Reduce the following fraction: x^2y/ xy^2 2) Any ______ of a fraction may be changed without changing its value. 3) Divide the following: a^2 - 11a + 30/ a- 5 =

1) x/y 2) Two signs 3) a - 6

Choose the set that contains only prime numbers.

2, 3, 5, 7, 11

Divide the following fractions: 10/20 divided by 2/5 equals.

5/4

Divide the following fractions: (25x^2 - y^2 / 9x^2z - 4z) Divided by (5x - y / 3xz - 2z)

5x + y / 3x + 2

Solve for Y: (5/Y+11) + Y/17 = (Y+5/Y+11)

6

Select the base expression where an exponent is understood to be 1.

8cd^2

Solve the following for x: (x-10/x) = 3/4

x = 40

Translate the following power of ten using the correct symbol 10^9.

Giga (G)

A mathematical truth that is self-evident and requires no proof is known as _______.

An axiom.

Solve the following for Q: P= QV / HE

PHE/V

Solve the linear equations for b using the addition/ subtraction method: 2a + b = 25 & 6a - 2b = 50

a = 10

Transfer the following fraction: 1/a^n

a^-n

If a = b, then the following must be true:

a^2 = b^2