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Grade 8 Algebra: Comparing Unit Rates: Tables, Equations and Points

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Level 1

Tables and equations through the origin

  1. 1. Which has the greater unit rate:
    A:y=3xB:x1234y481216\begin{array}{ll} \textbf{A:} & y = 3x \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 4 & 8 & 12 & 16 \end{array} \end{array}
  2. 2. Which has the greater unit rate:
    A:y=5xB:x0123y061218\begin{array}{ll} \textbf{A:} & y = 5x \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 0 & 6 & 12 & 18 \end{array} \end{array}
  3. 3. Which has the greater unit rate:
    A:y=7xB:x1234y6121824\begin{array}{ll} \textbf{A:} & y = 7x \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 6 & 12 & 18 & 24 \end{array} \end{array}
  4. 4. Which has the greater unit rate:
    A:x2468y10203040B:y=4x\begin{array}{ll} \textbf{A:} & \begin{array}{c|cccc} x & 2 & 4 & 6 & 8 \\ \hline y & 10 & 20 & 30 & 40 \end{array} \\[14pt] \textbf{B:} & y = 4x \end{array}
  5. 5. Which has the greater unit rate:
    A:y=2xB:y=2.5x\begin{array}{ll} \textbf{A:} & y = 2x \\[14pt] \textbf{B:} & y = 2.5x \end{array}
  6. 6. Which has the greater unit rate:
    A:x1234y9182736B:y=8x\begin{array}{ll} \textbf{A:} & \begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 9 & 18 & 27 & 36 \end{array} \\[14pt] \textbf{B:} & y = 8x \end{array}
  7. 7. Which has the greater unit rate:
    A:y=10xB:x2468y22446688\begin{array}{ll} \textbf{A:} & y = 10x \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 2 & 4 & 6 & 8 \\ \hline y & 22 & 44 & 66 & 88 \end{array} \end{array}
  8. 8. Which has the greater unit rate:
    A:x36912y12243648B:x5101520y15304560\begin{array}{ll} \textbf{A:} & \begin{array}{c|cccc} x & 3 & 6 & 9 & 12 \\ \hline y & 12 & 24 & 36 & 48 \end{array} \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 5 & 10 & 15 & 20 \\ \hline y & 15 & 30 & 45 & 60 \end{array} \end{array}