How Do You Solve A Two-step Equation?
The two-step equation is the term given to equations or inequalities that have more than one operation. What can you tell us about these two specific steps towards solving them? Let’s find out in this quiz.
- 1.
Solve for x:3x + 5 = 23
- A.
4
- B.
5
- C.
6
- D.
7
Correct Answer
C. 6Explanation
To solve the equation 3x + 5 = 23, we need to isolate the variable x. First, subtract 5 from both sides of the equation to get 3x = 18. Then, divide both sides of the equation by 3 to solve for x, which gives x = 6. Therefore, the correct answer is 6.Rate this question:
-
- 2.
-2x + 8 = -10
- A.
9
- B.
-9
- C.
1
- D.
-1
Correct Answer
A. 9Explanation
By solving the given equation, we can find the value of x. To isolate x, we need to get rid of the constant term on the left side of the equation. By subtracting 8 from both sides, we get -2x = -18. To solve for x, we divide both sides by -2, giving us x = 9. Therefore, the correct answer is 9.Rate this question:
-
- 3.
21 = 4x - 3
- A.
3
- B.
4
- C.
5
- D.
6
Correct Answer
D. 6Explanation
To find the value of x in the equation 21 = 4x - 3, we need to isolate the variable x. First, we add 3 to both sides of the equation to get 24 = 4x. Then, we divide both sides by 4 to solve for x, which gives us x = 6. Therefore, the correct answer is 6.Rate this question:
-
- 4.
X/2 + 7 = 12
- A.
10
- B.
-10
- C.
2.5
- D.
-2.5
Correct Answer
A. 10Explanation
To solve the equation x/2 + 7 = 12, we need to isolate x. We can start by subtracting 7 from both sides of the equation. This gives us x/2 = 5. To get rid of the fraction, we can multiply both sides of the equation by 2. This results in x = 10. Therefore, the correct answer is 10.Rate this question:
-
- 5.
What is the first step to solving this equation?3x - 8 = 4
- A.
Multiply each side by 3
- B.
Divide each side by 3
- C.
Add 8 to each side
- D.
Subtract 8 from each side
Correct Answer
C. Add 8 to each sideExplanation
To solve the equation 3x - 8 = 4, the first step is to add 8 to each side. This is done in order to isolate the variable term, 3x, on one side of the equation. By adding 8 to each side, the equation becomes 3x = 12, allowing for further simplification and solving for x.Rate this question:
-
- 6.
120 = -30 - 5x
- A.
18
- B.
-18
- C.
30
- D.
-30
Correct Answer
D. -30Explanation
To solve for x, we need to isolate it:
Add 30 to both sides: 120 + 30 = -30 - 5x + 30 150 = -5x
Divide both sides by -5: 150 / -5 = -5x / -5
Simplify: -30 = x
Therefore, x = -30Rate this question:
-
- 7.
What is the second step to solving this equation?x/4 - 6 = -3
- A.
Subtract 6 from each side
- B.
Add 6 to each side
- C.
Multiply each side by 4
- D.
Divide each side by 4
Correct Answer
C. Multiply each side by 4Explanation
To solve the equation x/4 - 6 = -3, the second step is to multiply each side of the equation by 4. This is done to eliminate the fraction x/4 and get rid of the denominator. By multiplying each side by 4, the equation becomes x - 24 = -12, which simplifies the equation further and allows for easier solving.Rate this question:
-
- 8.
Tell whether the following solution makes the equation true.10x - 20 = 0 x=2
- A.
Yes
- B.
No
Correct Answer
A. YesExplanation
The given equation is 10x - 20 = 0. To check if the solution x=2 makes the equation true, we substitute x=2 into the equation. Plugging in x=2, we have 10(2) - 20 = 0, which simplifies to 20 - 20 = 0. This equation is true since 0 = 0. Therefore, the solution x=2 makes the equation true.Rate this question:
-
- 9.
Tell whether the following solution makes the equation true. 8 + x/5 = 12 x=10
- A.
Yes
- B.
No
Correct Answer
B. NoExplanation
The given equation is 8 + x/5 = 12. To check if the solution x=10 makes the equation true, we substitute x=10 into the equation.
8 + 10/5 = 12.
8 + 2 = 12.
10 = 12.
Since 10 is not equal to 12, the solution x=10 does not make the equation true. Therefore, the answer is no.Rate this question:
-
- 10.
52 = -5x - 3
- A.
-11
- B.
11
- C.
275
- D.
-275
Correct Answer
A. -11Explanation
To find the value of x, we need to solve the equation 52 = -5x - 3. We can start by isolating the term with x by adding 3 to both sides of the equation, which gives us 55 = -5x. Then, we can divide both sides by -5 to solve for x. Dividing 55 by -5 gives us x = -11. Therefore, the correct answer is -11.Rate this question:
-
Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
-
Current Version
-
Jan 20, 2025Quiz Edited by
ProProfs Editorial Team -
May 17, 2010Quiz Created by
Mscarborough
Back to top