Topics
>
Pre - Algebra>
Negative Numbers>
Negative Numbers with Variables>
Negative Numbers with Variables 2Negative Numbers with Variables 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
Evaluate`-8a-5a`- (-13a)
Hint
Help VideoCorrect
Correct!
Incorrect
Terms with the same variable can be added or subtracted.Both terms have `a` as their variable, meaning we can freely add or subtract them like integers.Since the signs are the same `(- -)` we will find the sum of the two numbers`8+5` `=` `13` Find the Sum `\text(Sum)` `=` `13` Insert the sign of the larger number `(-8)` to the difference as well as the variable `a`.`-8a-5a` `=` `-13a` Insert a negative sign since the larger number, `8` is negative `-13a` -
Question 2 of 4
2. Question
Evaluate`9x-(-3x)-16-(-7x)+24`- (19x+8, 8+19x)
Hint
Help VideoCorrect
Fantastic!
Incorrect
Terms with the same variable can be added or subtracted.First, solve for the values with an `x` variable.`9x``-``(``-``3x)``-``(``-``7x)` `=` `9x``+``3x``+``7x` Recall, 
`=` `19x` Next, solve for the values with no variables.Since the signs are the same `(- +)` we will find the difference of the two numbers`24-16` `=` `8` Find the Difference `\text(Difference)` `=` `8` Insert the sign of the larger number `(+24)` to the difference.`-16+24` `=` `8` Use a positive sign since the larger number, `24` is positive Finally, combine the terms.`19x+8` `19x+8` -
Question 3 of 4
3. Question
Evaluate`7x-(-x)-12-(+15x)+30`- (-7x+18, 18-7x)
Hint
Help VideoCorrect
Nice Job!
Incorrect
Terms with the same variable can be added or subtracted.First, solve for the values with an `x` variable.`7x``-``(``-``x)-(+15x)` `=` `7x``+``x-(+15x)` Recall, `7x+x``-``(``+``15x)` `=` `7x+x``-``15x` Recall, 
`=` `8x-15x` Since the signs are different `(+ -)` we will find the difference of the two numbers`15-8` `=` `7` Find the Difference `\text(Difference)` `=` `7` Insert the sign of the larger number `(-15)` to the difference as well as the variable `x`.`8x-15x` `=` `-7x` Insert a negative sign since the larger number, `15` is negative Next, solve for the values with no variables.Since the signs are different `(- +)` we will find the difference of the two numbers`30-12` `=` `18` Find the Difference `\text(Difference)` `=` `18` Insert the sign of the larger number `(+30)` to the difference.`-12+30` `=` `18` Use a positive sign since the larger number, `30` is positive Finally, combine the terms.`-7x+18` `-7x+18` -
Question 4 of 4
4. Question
Evaluate`-32y^3divide-8y`Hint
Help VideoCorrect
Exceptional!
Incorrect
Rules for Dividing Integers
Transform the expression into a fraction to make it easier to solve.`-32y^3divide-8y` `=` `(-32y^3)/(-8y)` Simplify the fraction$$\frac{\color{#CC0000}{-32}y^3}{\color{#CC0000}{-8}y}$$ `=` `4``(y^3)/y` Recall, `=` `4y^(3-1)` Recall rules for indices `=` `4y^(2)` `=` `4y^2` `4y^2`
Quizzes
- Add and Subtract Negative Numbers on the Number Line 1
- Add and Subtract Negative Numbers on the Number Line 2
- Add and Subtract Negative Numbers on the Number Line 3
- Add and Subtract Negative Numbers on the Number Line 4
- Add and Subtract Negative Numbers 1
- Add and Subtract Negative Numbers 2
- Add and Subtract Negative Numbers 3
- Add and Subtract Negative Numbers 4
- Multiply and Divide Negative Numbers 1
- Multiply and Divide Negative Numbers 2
- Multiply and Divide Negative Numbers 3
- Negative Numbers: Order of Operations
- Negative Numbers with Variables 1
- Negative Numbers with Variables 2
- Negative Numbers with Variables 3
- Negative Numbers with Substitution 1
- Negative Numbers with Substitution 2
- Negative Numbers with Substitution 3
- Negative Numbers Word Problems