Math Problem Statement

Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions.

Solution

Let's go through the steps to solve the equation as shown in the image:

The equation is:

2q+8+7=172q + 8 + 7 = 17

Step-by-step process:

  1. Combine like terms on the left side: 2q+(8+7)=2q+15=172q + (8 + 7) = 2q + 15 = 17 So, the missing term in the first blank is 15.

  2. Subtract 15 from both sides: 2q=1715=22q = 17 - 15 = 2 The missing term in the second blank is 2.

  3. Divide both sides by 2 to isolate qq: q=22=1q = \frac{2}{2} = 1 The missing term in the third blank is 1.

Final solution:

The value of qq is 1.

Let me know if you'd like more details or have any questions! Here are some related questions for further practice:

  1. How would you solve an equation like 3x+4+6=203x + 4 + 6 = 20?
  2. What happens if there is no solution for an equation? Can you give an example?
  3. How do you check if the solution to an equation is correct?
  4. What would you do if you had a fraction while solving equations like this?
  5. How would you solve the equation 4y+5=2y+154y + 5 = 2y + 15?

Tip: Always combine like terms and isolate variables step-by-step for clarity when solving linear equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Combining like terms
Isolation of variable

Theorems

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Suitable Grade Level

Middle School