### 15-2: TEKS Practice

• 1. Classify the equation 7x+3=7x−4 as having one solution, no solution, or infinitely many solutions.

• 2. Classify the equation 4x+2=4x+2 as having one solution, no solution, or infinitely many solutions.

• 3. Classify the equation 5(10x+6)=50x−4 as having one solution, no solution, or infinitely many solutions.

• 4. Think About the Process

• a. Which operations can be used to find the solution to 17x+163x−12=18(10x+17)?

• B. Addition, multiplication, and division

• C. Subtraction and multiplication

• D. Addition, subtraction, multiplication, and division

• E. Subtraction, multiplication, and division

• b. Solve 17x+163x−12=18(10x+17).

• A. x=▪

• B. The equation has infinitely many solutions.

• C. The equation has no solution.

• 5. Which answer shows the correct solution for 6x+19x−4=5(5x+4)?

• A. x=▪

• B. The equation has infinitely many solutions.

• C. The equation has no solution.

• 6. Which answer shows the correct solution for 10x+22x−5=8(4x+7)?

• A. x=▪

• B. The equation has infinitely many solutions.

• C. The equation has no solution.

• 7. Which answer shows the correct solution for 4(2x+4)=10x+15−2x+1?

• A. x=▪

• B. The equation has infinitely many solutions.

• C. The equation has no solutions.

• 8. Solve 4(2x+3)=16x+3−8x+9.

• A. x=▪

• B. The equation has infinitely many solutions.

• C. The equation has no solution.

• 9. Which answer shows the correct solution for 3x+x+2=8x−4x+2?

• A. x=▪

• B. The equation has infinitely many solutions.

• C. The equation has no solution.

• 10. Think About the Process

• a. What is a possible first step in solving 0.4(3x+18)=1.2(x+6)?

• A. Multiply each side by 10.

• B. Subtract 10 from each side.

• C. Add 10 to each side.

• D. Divide each side by 10.

• b. Solve 0.4(3x+18)=1.2(x+6).

• A. x=▪

• B. The equation has infinitely many solutions.

• C. The equation has no solution.

• 11.

• a. Writing Classify the equation 49x+33=49x+38 as having one solution, no solution, or infinitely many solutions.

• b. Write an equation that has one solution, an equation that has no solution, and an equation that has infinitely many solutions.

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