Solving Linear Equations: Distributive Property Answers
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Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution?
A
The equation has one solution: x = 0.B
The equation has one solution: x = 1.C
The equation has no solution.D
The equation has infinite solutions.2
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Solve for n.n + 1 = 4(n – 8)
A
n = 1B
n = 8C
n = 11D
n = 163
Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?
A
(1 – n) – 3 = (4 – 3n)
B
3 – (1 – n) = (4 – 3n)C
(n – 1) – 3 = (3n – 4)D
3 – (n – 1) = (3n – 4)4
How many solutions exist for the given equation?12x + 1 = 3(4x + 1) – 2
A
zeroB
oneC
twoD
infinitely many5
Which equation has no solution?
A
4(x + 3) + 2x = 6(x + 2)B
5 + 2(3 + 2x) = x + 3(x + 1)C
5(x + 3) + x = 4(x + 3) + 3D
4 + 6(2 + x) = 2(3x + 8)7
Karissa begins to solve the equation . Her work is correct and is shown below.
A
–1B
–C
0D
StartFraction one-half EndFraction.8
How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1
A
zeroB
oneC
twoD
infinitely many9
Solve for n.11(n – 1) + 35 = 3n
A
n = –6B
n = –3C
n = 3D
n = 610
Solve for x.5(x – 10) = 30 – 15x
A
x = 1B
x = 4C
x = 5D
x = 8Did you find these answers helpful?
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