Systems of Equations - Unit 5 Test A (Algebra 1 TEKS)

1. Solve the system of equations by graphing. Record your solution as an ordered pair.

2. Solve the system of equations. Record your solution as an ordered pair.

3. Which system of equations is represented on the graph?

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4. Diana bought a total of 22 items including boxes of pizza and sodas for an upcoming event. Each box of pizza cost $8 and each soda cost $1.50. If Diana spent a total of $137, which of the following is a true statement?

• A. Diana bought 16 boxes of pizza.
• B. Diana bought more sodas than boxes of pizza.
• C. Diana bought 6 boxes of pizza.
• D. Diana bought an equal number of sodas and pizzas.

5. Graph the solution set of the system of inequalities. Which ordered pair is included in the solution set?

• A. (0, -3)
• B. (-5, -4)
• C. (7, 2)
• D. (2, -6)

6. Hunter has $50 in his savings and deposits $30 each week. Max has $175 in his savings and deposits $5 each week. Graph the system and find the number of weeks it will take for each person to have about the same amount in savings.

• A. 7 weeks
• B. 2 weeks
• C. 5 weeks
• D. 9 weeks

7. Fatima plans to solve the system below using elimination. Which is a reasonable first step Fatima could take?

• A. Multiply the 2nd equation by -3
• B. Multiply the 2nd equation by -2
• C. Multiply the 2nd equation by 2
• D. Any of the above

The graphed line represents the first equation in a system with infinitely many solutions. Which could be the second equation in the system?

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9. Yareli and Rosa won a total of 125 tickets at an arcade. The number of tickets that Rosa won is 11 more than half the number of tickets Yareli won. Which system of equations could be used to find the number of tickets Yareli won, x, and the number of tickets Rosa won, y?

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10. Solve the system of equations by graphing. Record your solution as an ordered pair.