Digits, Grade 8, Volume 1, Homework Helper

8-2: TEKS Practice

  • 1. Without graphing, decide whether the system of equations has one solution, no solution, or infinitely many solutions.

    y = 3x + 14

    y = −3x + 14

  • 2. Without graphing the equations, decide whether the system has one solution, no solution, or infinitely many solutions.

    5y = x − 9

    4x − 10y = 18

  • 3. Does this system have one solution, no solution, or an infinite number of solutions?

    3x + 2y = 7

    27x + 18y = 5

  • 4. Decide if the system of equations has one solution, no solution, or infinitely many solutions.

    3x + 18y = 252

    6x − 36y = 128

  • 5. How many solutions does this system have?

    x + 5y = 0

    25y = −5x

  • 6.

    • a. Writing How many solutions does the system of equations have?

      table with 2 rows and 2 columns , row1 column 1 , 8 x plus 10 y , column 2 equals 21 , row2 column 1 , y , column 2 equals negative , 4 fifths , x plus 24 , end table

    • b. Write a situation you could model using this system of equations. Then interpret the number of solutions in the context of your situation.

  • 7. Reasoning How many solutions are there for this system of equations?

    y = 9x + 1

    y = 7x + 1

    • A. Exactly one solution, because the slopes are not equal.

    • B. No solution, because the slopes are equal and the y-intercepts are not equal.

    • C. No solution, because the y-intercepts are not equal.

    • D. Exactly one solution, because the slopes are equal but the y-intercepts are not equal.

    • E. Infinitely many solutions, because the slopes are equal and the y-intercepts are equal.

  • 8. Mental Math By inspecting the equations, what can you determine about the solution(s) of this system?

    y = 6x + 16

    4y = 24x + 68

    • A. The system has exactly one solution.

    • B. The system has infinitely many solutions.

    • C. The system has no solution.

  • 9. Error Analysis Charlene says that this system of equations has infinitely many solutions.

    13x + 4y = 33

    26y + 8x = 66

    • a. How many solutions does the system have?

    • b. What error might Charlene have made?

      • A. Charlene compared the slope in the first equation to the y-intercept in the second.

      • B. Charlene found the y-intercept incorrectly.

      • C. Charlene compared the y-intercept in the first equation to the slope in the second.

      • D. Charlene found the slope incorrectly.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties