AnswersAlgebra ISolving Linear Equations: Distributive Property

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3

Solve for n. n plus 1 is equal to 4 times open paren n minus 8 close paren

A
n is equal to 16
B
n is equal to 11
C
n is equal to 8
D
n is equal to 1
4

Solve for x. 6 times open paren x minus 1 close paren is equal to 9 times open paren x plus 2 close paren

A
x is equal to negative 3
B
x is equal to 8
C
x is equal to 3
D
x is equal to negative 8
5

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
open paren n minus 1 close paren minus 3 is equal to 1 half times open paren 3 n minus 4 close paren
B
3 minus open paren 1 minus n close paren is equal to 1 half times open paren 4 minus 3 n close paren
C
open paren 1 minus n close paren minus 3 is equal to 1 half times open paren 4 minus 3 n close paren
D
3 minus open paren n minus 1 close paren is equal to 1 half times open paren 3 n minus 4 close paren
7

Which equation has no solution?

A
4 plus 6 times open paren 2 plus x close paren is equal to 2 times open paren 3 x plus 8 close paren
B
5 times open paren x plus 3 close paren plus x is equal to 4 times open paren x plus 3 close paren plus 3
C
4 times open paren x plus 3 close paren plus 2 x is equal to 6 times open paren x plus 2 close paren
D
5 plus 2 times open paren 3 plus 2 x close paren is equal to x plus 3 times open paren x plus 1 close paren
8

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 is equal to 0 .
B
The equation has infinite solutions.
C
The equation has one solution: x is equal to 1 .
D
The equation has no solution.

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