AnswersPre-Algebra - MA3119 A Distance LearningSolving Two-Step Equations

Combining Like Terms to Solve Equations Answers

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Consider the following equations and name the property of equality used to solve for the variable.

Answers:
Consider the following equations and name the property of equality used to solve for the variable.:subtraction property of equality with 3.75
Consider the following equations and name the property of equality used to solve for the variable.:division property of equality with –3
Consider the following equations and name the property of equality used to solve for the variable.:multiplication property of equality with 5
Consider the following equations and name the property of equality used to solve for the variable.:addition property of equality with 4
2
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B. –3b = 18 addition property of equality with –3subtraction property of equality with –3X multiplication property of equality with –3✔ division property of equality with –3

A
addition property of equality with –3
B
subtraction property of equality with –3
C
X multiplication property of equality with –3
D
✔ division property of equality with –3
3

C. StartFraction m Over 5 EndFraction = negative 25 addition property of equality with 5X subtraction property of equality with 5✔ multiplication property of equality with 5division property of equality with 5

Question illustration
A
addition property of equality with 5
B
X subtraction property of equality with 5
C
✔ multiplication property of equality with 5
D
division property of equality with 5
4

D. m – 4 = 9 ✔ addition property of equality with 4X subtraction property of equality with 4multiplication property of equality with 4division property of equality with 4

A
✔ addition property of equality with 4
B
X subtraction property of equality with 4
C
multiplication property of equality with 4
D
division property of equality with 4
5

Which would be used to solve this equation? Check all that apply. [image 1] [image 2] [image 3] [image 4]

Question illustration
A
subtracting 3 from both sides of the equation
B
multiplying both sides of the equation by 3
C
dividing both sides of the equation by 3
D
substituting 4 for p to check the solution
E
substituting 36 for p to check the solution
6

Which is an equivalent equation after combining like terms?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Analyze the steps Emeril used to solve for the variable to determine if he made an error. In which step did Emeril make an error?

A
Step 1: He didn’t combine like terms correctly.
B
Step 2: He should have added 3 to, rather than subtracting 3 from, both sides.
C
Step 3: He should have gotten a positive answer when dividing -24 by 6.
D
There is no error.
8

Let x represent the number of students in Janelle’s group.

A
3x = 23 + 5
B
3x = 23
C
3x – 5 = 23
D
3x + 5 = 23

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