One- & Two-Step Equations Unit Test
9 of 159 of 15 Items
Question
Which of the following equations has a solution of −7?(1 point)
Responses
−3x−8=−29
negative 3 x minus 8 equals negative 29
4x−23=5
4 x minus 23 equals 5
−x+3=−4
negative x plus 3 equals negative 4
5x+11=−24
5 x plus 11 equals negative 24
Skip to navigation
To find the equation that has a solution of -7, we need to substitute -7 for the variable in each equation and see which one results in a true statement.
Let's check each equation:
-3x - 8 = -29
Substituting -7 for x:
-3(-7) - 8 = -29
21 - 8 = -29
13 does not equal -29, so this equation does not have a solution of -7.
4x - 23 = 5
Substituting -7 for x:
4(-7) - 23 = 5
-28 - 23 = 5
-51 does not equal 5, so this equation does not have a solution of -7.
-x + 3 = -4
Substituting -7 for x:
-(-7) + 3 = -4
7 + 3 = -4
10 does not equal -4, so this equation does not have a solution of -7.
5x + 11 = -24
Substituting -7 for x:
5(-7) + 11 = -24
-35 + 11 = -24
-24 equals -24, so this equation has a solution of -7.
Therefore, the equation that has a solution of -7 is:
5x + 11 = -24.