Solving Multi-Step Equation Quiz
1.Solve the Equation x5=−2
A. -35
B. -10
C.3
2. Solve the equation. x5+1=−7
A. -13
B. -40
C. 1
3. Solve 3x+8=23
A. -18
B. 34
C. 5
4. Combine like terms -4n+2n
A. -2n
B. 2n
C.-8n
5. Solve the problem. -4n+7+2n=1
A. 1
B.4
C. -3
6. Use the distributive property to simplify the following expression 4(y-4)
A. 4y-4
B.4y-16
C. 4+y-4
7. Solve the following equation: 4(y-4)=8
A. 6
B. 2
C. 4
8. Damien buys bottles of water (b) at $2.00 each and a large pizza at $13.00. The total cost was $25.00. How many bottles of water (b) did he buy? Choose which equation you would use to solve this problem.
A. 2b+13=25
B. 2+13+25=b
C. 25b+2=13
9. Damien buys water bottles at $2 each and a large pizza at $13. The total cost was $25. How many bottles of water (b) did he buy? Use the equation you selected from the previous question.
A. 10
B. 40
C. 6
Please Help
Sure! I'd be happy to help you with these problems step-by-step. Here are the solutions to each problem:
1. Solve the equation x5 = -2:
To isolate x, divide both sides of the equation by 5:
x5/5 = -2/5, which simplifies to x = -2/5.
So, the correct answer is A. -2/5.
2. Solve the equation x5 + 1 = -7:
Subtract 1 from both sides of the equation to isolate x:
x5 = -7 - 1, which simplifies to x5 = -8.
So, the correct answer is A. -8.
3. Solve 3x + 8 = 23:
Subtract 8 from both sides of the equation to isolate 3x:
3x = 23 - 8, which simplifies to 3x = 15.
Then, divide both sides of the equation by 3:
x = 15/3, which simplifies to x = 5.
So, the correct answer is C. 5.
4. Combine like terms -4n + 2n:
Combine the coefficients of the like terms, -4n and 2n, which gives -4n + 2n = -2n.
So, the correct answer is A. -2n.
5. Solve the problem -4n + 7 + 2n = 1:
Combine the like terms -4n and 2n:
-2n + 7 = 1.
Subtract 7 from both sides of the equation to isolate -2n:
-2n = 1 - 7, which simplifies to -2n = -6.
Divide both sides of the equation by -2:
n = -6/-2, which simplifies to n = 3.
So, the correct answer is C. -3.
6. Use the distributive property to simplify the expression 4(y-4):
Multiply 4 by each term inside the parentheses:
4y - 16.
So, the correct answer is B. 4y - 16.
7. Solve the equation 4(y-4) = 8:
First, distribute the 4 to each term inside the parentheses:
4y - 16 = 8.
Add 16 to both sides of the equation to isolate 4y:
4y = 8 + 16, which simplifies to 4y = 24.
Then, divide both sides of the equation by 4:
y = 24/4, which simplifies to y = 6.
So, the correct answer is A. 6.
8. Choose the equation to solve the problem "Damien buys bottles of water (b) at $2.00 each and a large pizza at $13.00. The total cost was $25.00. How many bottles of water (b) did he buy?":
The equation to use is A. 2b + 13 = 25.
9. Solve the equation 2b + 13 = 25 using the selected equation:
Subtract 13 from both sides of the equation to isolate 2b:
2b = 25 - 13, which simplifies to 2b = 12.
Divide both sides of the equation by 2:
b = 12/2, which simplifies to b = 6.
So, the correct answer is C. 6.
I hope this helps! Let me know if you have any further questions.
To solve multi-step equations, we follow a series of steps to isolate the variable and find its value.
1. Solve the Equation x5 = -2
To solve this equation, we need to isolate the variable x.
Step 1: Divide both sides of the equation by 5.
x = -2/5
So the answer is C. 3.
2. Solve the equation. x5 + 1 = -7
To solve this equation, we need to isolate the variable x.
Step 1: Subtract 1 from both sides of the equation.
x5 = -8
Step 2: Divide both sides of the equation by 5.
x = -8/5
So the answer is A. -13.
3. Solve 3x + 8 = 23
To solve this equation, we need to isolate the variable x.
Step 1: Subtract 8 from both sides of the equation.
3x = 23 - 8
3x = 15
Step 2: Divide both sides of the equation by 3.
x = 15/3
So the answer is C. 5.
4. Combine like terms -4n + 2n
To combine like terms, we add or subtract the coefficients of variables with the same letter.
-4n + 2n can be simplified to -2n.
So the answer is A. -2n.
5. Solve the problem. -4n + 7 + 2n = 1
To solve this equation, we need to isolate the variable n.
Step 1: Combine like terms on the left side of the equation.
-4n + 2n + 7 = 1
-2n + 7 = 1
Step 2: Subtract 7 from both sides of the equation.
-2n = 1 - 7
-2n = -6
Step 3: Divide both sides of the equation by -2.
n = -6/-2
So the answer is B. 4.
6. Use the distributive property to simplify the following expression 4(y-4)
To simplify the expression, we distribute the 4 to both terms inside the parentheses.
4(y-4) can be simplified to 4y - 16.
So the answer is B. 4y - 16.
7. Solve the following equation: 4(y-4) = 8
To solve this equation, we need to isolate the variable y.
Step 1: Distribute 4 to both terms inside the parentheses.
4y - 16 = 8
Step 2: Add 16 to both sides of the equation.
4y = 8 + 16
4y = 24
Step 3: Divide both sides of the equation by 4.
y = 24/4
So the answer is C. 6.
8. Damien buys bottles of water (b) at $2.00 each and a large pizza at $13.00. The total cost was $25.00. How many bottles of water (b) did he buy?
To solve this problem, we can set up an equation based on the information given.
Let b represent the number of water bottles Damien bought.
The equation would be: 2b + 13 = 25
So the answer is A. 2b + 13 = 25.
9. Damien buys water bottles at $2 each and a large pizza at $13. The total cost was $25. How many bottles of water (b) did he buy? Use the equation you selected from the previous question.
To solve this equation, we need to apply the equation selected in the previous question.
Step 1: Subtract 13 from both sides of the equation.
2b = 25 - 13
2b = 12
Step 2: Divide both sides of the equation by 2.
b = 12/2
So the answer is A. 10.
Nobody is going to do a test or assignment like this for you.
If you post your answers, often they will be checked.
I posted an answer to your #1 of this test, when you posted it
separately a while back, with my objection to it. You posted it the same way
without changing it, which shows that you didn't even look at my answer.
The second question is the same type with the same problem.
What do you mean by:
x5+1=−7
If you mean: x^5 + 1 = -7
then none of your answers are valid
If you mean: 5x + 1 = -7
then none of your answers are valid
If you mean ..... ????