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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Solve the system of equations Enter your answer as an ordered pair 4x plus 8y equals 16 4x minus 8y equals 0?
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3x plus 5y equals 48 -3x plus 5y equals 12Solve the system of equations Enter your answer as an ordered pair?

3x+5y=48 5y=48-3x-3x+5y=12 -3x+(48-3x)=12-6x=-36x=65y=48-3(6)5y=30y=6(6,6)


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Use the substitution method to solve the system of equations Enter your answer as an ordered pair 3x plus y equals 10 y equals x - 2?

3x+y = 10 y = x-2 Substitute the value of y into the top equation: 3x+x-2 = 10 => 4x = 10+2 => 4x = 12 => x = 3 Substitute the value of x into the original equations to find the value of y: So: x = 3 and y = 1


Enter the answer as an ordered pair 2y plus 2x equals 20 y - 2x equals 4?

2y + 2x = 20 y - 2x = 4 Add the two equations: 3y = 24 so that y = 8 Substitute this value of y in the second equation: 8 - 2x = 4 then 4 = 2x so that x = 2 Thus the ordered pair (y,x) = (8,2)


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Use the substitution method to solve the system of equations Enter your answer as an ordered pair y equals x - 7 x plus y equals 5?

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Where is the center of the circle given by the equation x plus 4 2 plus y -3 2 equals 4 Enter your answer as an ordered pair?

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Solve the system of equations using the elimination method Enter the answer as an ordered pair 2y equals x plus 2 x - 3y equals -5?

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From Equation 1: x = 3y - 23Substitute for x in equation 2: 5(3y - 23) + 6y = 74ie 15y - 115 + 6y = 74ie 21y - 115 = 74Add 115 to each side: 21y = 189Divide each side by 21: y = 9x = 3y - 23 ie 27 - 23 ie 4x = 4, y = 9


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4X + 7Y = 60 -4X + 7Y = - 4 -----------------------+ 14Y = 56 Y = 4 --------- insert back into one of these equations to find X 4X + 7(4) = 60 4X + 28 = 60 4X = 32 X = 8 ------------check 4(8) + 7(4) = 60 32 + 28 = 60 60 = 60 ----------------checks, now second equation -4(8) + 7(4) = -4 -32 + 28 = -4 -4 = -4 --------------checks solution set. X = 8 Y = 4 (8,4)


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Enter as an ordered pair 6x plus 2y equals 6 3x - y equals 9?

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16x - 2y = 74 (Eq 1) 2x - 2y = 4 (Eq 2) from Eq 2, 2y = 2x - 4 Substitute in Eq 1 16x - (2x - 4) =74 ie 16x - 2x + 4 = 74 ie 14x = 70 ie x = 5 2y = 2x - 4 = 10 - 4 = 6 y =3 Check 16 x 5 - 2 x 3 = 80 - 6 = 84 QED


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