# Algebra 2 - Section 3.6 Solving Systems of Three Equations using Technology

## Quiz by Dr. Esequiel Garcia

High School
Algebra II
Texas Essential Knowledge and Skills (TEKS)

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13 questions
• Q1
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111.40.C.3.B
• Q2
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111.40.C.3.B
• Q3
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111.40.C.3.B
• Q4
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111.40.C.3.B
• Q5
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111.40.C.3.B
• Q6
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111.40.C.3.B
• Q7
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111.40.C.3.B
• Q8

In a souvenir shop, Jodi purchased 2 small picture frames and 1 large one for $28. Mike bought 3 medium picture frames and 2 large ones for$56. Shelly bought a small, medium and a large frame for $30. Write a system to describe this situation. $\begin\left\{cases\right\}2s + 1l = 28 \\ 2s+ 3m + 2l = 56 \\ s + m + 2l = 30 \end\left\{cases\right\}$ $\begin\left\{cases\right\}2s + 1l = 28 \\ 3m + 2l = 56 \\ s + m + l = 30 \end\left\{cases\right\}$ 30s 111.40.C.3.A • Q9 At the arcade Sami won w blue tickets, 1 yellow ticket and 3 red tickets for 1500 points. Jamal won 1 blue ticket, 2 yellow tickets and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets and three yellow tickets and 1 red ticket for 1200 points. Write a system to describe this situation. $\begin\left\{cases\right\}2x + y + 3z = 1500 \\ x+ 2y + 2z = 1225 \\ 2x +3y + z = 1200 \end\left\{cases\right\}$ $\begin\left\{cases\right\}2x +3 y + z = 1500 \\ 2x+ 2y + 2z = 1225 \\ 2x +3y +3 z = 1200 \end\left\{cases\right\}$ 30s 111.40.C.3.B • Q10 The sum of three numbers is -2. The sum of three times the first number, twice the second number and third number is 9. The difference between the second number and ½ the third number is 10. Write a system to describe this situation. $\begin\left\{cases\right\}f +s+t = -2 \\ 3f +2s+t = 9\\ s - \frac\left\{1\right\}\left\{3\right\}t = 10 \end\left\{cases\right\}$ $\begin\left\{cases\right\}f +s+t = 2 \\ 3f +2s+t = 9\\ s + \frac\left\{1\right\}\left\{3\right\}t = 10 \end\left\{cases\right\}$ 30s 111.40.C.3.B • Q11 The sum of three numbers is 4. The sum of three times the first number, and three times the third number is 19. The difference between the second number and third number is 12. Write a system to describe this situation. $\begin\left\{cases\right\}f + s + t = 4 \\ 3f - 3t = 19\\ s + t = 12 \end\left\{cases\right\}$ $\begin\left\{cases\right\}f +s+t = 2 \\ 3f +2s+t = 9\\ s + \frac\left\{1\right\}\left\{3\right\}t = 10 \end\left\{cases\right\}$ $\begin\left\{cases\right\}f + s + t = 4 \\ 3f + 3t = 19\\ s - t = 12 \end\left\{cases\right\}$ 30s 111.40.C.3.B • Q12 At the arcade Sami won 3 blue tickets, 3 yellow ticket and 2 red tickets for 1650 points. Jamal won 2 blue ticket, 2 yellow tickets and 2 red tickets for 1555 total points. Yvonne won 2 blue tickets and 3 yellow tickets and 1 red ticket for 1250 points. Write a system to describe this situation. $\begin\left\{cases\right\}3x + 3y + 2z = 1650 \\ 2x + 2y + 2z = 1555\\ 2x + 3y + z = 1250 \end\left\{cases\right\}$ $\begin\left\{cases\right\}3x + 3y + 2z = 1650 \\ 2x + 2y + 2z = 1555\\ 2x + 3y - z = 1250 \end\left\{cases\right\}$ $\begin\left\{cases\right\}2x +3 y + z = 1500 \\ 2x+ 2y + 2z = 1225 \\ 2x +3y +3 z = 1200 \end\left\{cases\right\}$ 30s 111.40.C.3.B • Q13 In a souvenir shop, Jodi purchased 3 small picture frames and 3 large one for$128. Mike bought 2 medium picture frames and 1 large ones for $36. Shelly bought a small, 2 medium and a 2 large frame for$60. Write a system to describe this situation.

$\begin\left\{cases\right\}3s + 3l = 128 \\ 2m + l = 36\\ 2m + 2l = 60 \end\left\{cases\right\}$

$\begin\left\{cases\right\}2s + 1l = 28 \\ 2s+ 3m + 2l = 56 \\ s + m + 2l = 30 \end\left\{cases\right\}$

$\begin\left\{cases\right\}3s + 3l = 60 \\ 2m + l = 36\\ 2m + 2l = 128 \end\left\{cases\right\}$

30s
111.40.C.3.A

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