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Grade 8 Algebra: Comparing Unit Rates: Tables, Equations and Points
Name: ______________________
Date: ____________
Score: ____ / 8
Level 2
Tables, equations and two points
1.
Which has the greater rate of change:
A:
(
1
,
4
)
,
(
3
,
10
)
B:
y
=
2
x
+
5
\begin{array}{ll} \textbf{A:} & (1, 4),\ (3, 10) \\[14pt] \textbf{B:} & y = 2x + 5 \end{array}
A:
B:
(
1
,
4
)
,
(
3
,
10
)
y
=
2
x
+
5
2.
Which has the greater rate of change:
A:
(
0
,
2
)
,
(
4
,
22
)
B:
x
0
1
2
3
y
1
7
13
19
\begin{array}{ll} \textbf{A:} & (0, 2),\ (4, 22) \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 1 & 7 & 13 & 19 \end{array} \end{array}
A:
B:
(
0
,
2
)
,
(
4
,
22
)
x
y
0
1
1
7
2
13
3
19
3.
Which has the greater rate of change:
A:
y
=
1.5
x
B:
(
2
,
4
)
,
(
6
,
10
)
\begin{array}{ll} \textbf{A:} & y = 1.5x \\[14pt] \textbf{B:} & (2, 4),\ (6, 10) \end{array}
A:
B:
y
=
1.5
x
(
2
,
4
)
,
(
6
,
10
)
4.
Which has the greater rate of change:
A:
x
0
2
4
6
y
3
7
11
15
B:
(
1
,
1
)
,
(
4
,
10
)
\begin{array}{ll} \textbf{A:} & \begin{array}{c|cccc} x & 0 & 2 & 4 & 6 \\ \hline y & 3 & 7 & 11 & 15 \end{array} \\[14pt] \textbf{B:} & (1, 1),\ (4, 10) \end{array}
A:
B:
x
y
0
3
2
7
4
11
6
15
(
1
,
1
)
,
(
4
,
10
)
5.
Which decreases faster:
A:
y
=
−
2
x
+
8
B:
(
0
,
12
)
,
(
4
,
0
)
\begin{array}{ll} \textbf{A:} & y = -2x + 8 \\[14pt] \textbf{B:} & (0, 12),\ (4, 0) \end{array}
A:
B:
y
=
−
2
x
+
8
(
0
,
12
)
,
(
4
,
0
)
6.
Which has the greater rate of change:
A:
(
2
,
5
)
,
(
6
,
7
)
B:
y
=
1
3
x
+
4
\begin{array}{ll} \textbf{A:} & (2, 5),\ (6, 7) \\[14pt] \textbf{B:} & y = \tfrac{1}{3}x + 4 \end{array}
A:
B:
(
2
,
5
)
,
(
6
,
7
)
y
=
3
1
x
+
4
7.
Which has the greater rate of change:
A:
x
1
3
5
7
y
4
10
16
22
B:
(
2
,
9
)
,
(
5
,
21
)
\begin{array}{ll} \textbf{A:} & \begin{array}{c|cccc} x & 1 & 3 & 5 & 7 \\ \hline y & 4 & 10 & 16 & 22 \end{array} \\[14pt] \textbf{B:} & (2, 9),\ (5, 21) \end{array}
A:
B:
x
y
1
4
3
10
5
16
7
22
(
2
,
9
)
,
(
5
,
21
)
8.
Which has the greater rate of change:
A:
(
−
1
,
2
)
,
(
3
,
14
)
B:
y
=
3
x
−
1
\begin{array}{ll} \textbf{A:} & (-1, 2),\ (3, 14) \\[14pt] \textbf{B:} & y = 3x - 1 \end{array}
A:
B:
(
−
1
,
2
)
,
(
3
,
14
)
y
=
3
x
−
1
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