Unit Review: Patterns & rules

X.1X.2Find the rule. Fill in the missing numbers.

1. 1
   $178,147,116,85,\boxed{},\boxed{}$
2. 2
   $16,39,\boxed{},85,\boxed{},131$
3. 3
   $14,62,110,\boxed{},206,\boxed{}$
4. 4
   $305,256,\boxed{},158,109,\boxed{}$
5. 5
   $2.5,4.0,5.5,\boxed{},\boxed{},10.0$
6. 6
   $1.1,2.0,2.9,3.8,\boxed{},\boxed{}$
7. 7
   $5.8,5.2,\boxed{},4.0,\boxed{},2.8$
8. 8
   $8.1,7.0,5.9,\boxed{},\boxed{},2.6$

X.3Complete both patterns. Then compare them.

1. 9
   $\begin{array}{lccccc}\text{A: add }9& 0& 9& 18& 27& 36\\ \text{B: add }18& 0& 18& 36& & \end{array}$ B is ​ times A.
2. 10
   $\begin{array}{lccccc}\text{A: add }4& 0& 4& 8& 12& 16\\ \text{B: add }12& 0& 12& 24& & \end{array}$ B is ​ times A.
3. 11
   $\begin{array}{lccccc}\text{A: add }6& 0& 6& 12& 18& 24\\ \text{B: add }12& 0& 12& 24& & \end{array}$ B is ​ times A.
4. 12
   $\begin{array}{lccccc}\text{A: add }6& 0& 6& 12& 18& 24\\ \text{B: add }24& 0& 24& 48& & \end{array}$ B is ​ times A.

X.4Use the rule to complete the table.

1. 13
   $y=9x+3$ $\begin{array}{cccccc}x& 1& 2& 3& 4& 5\\ y& 12& & 30& 39& \end{array}$
2. 14
   $y=7x+4$ $\begin{array}{cccccc}x& 1& 2& 3& 4& 5\\ y& 11& & & 32& 39\end{array}$
3. 15
   $y=7x+9$ $\begin{array}{cccccc}x& 1& 2& 3& 4& 5\\ y& 16& & & 37& 44\end{array}$
4. 16
   $y=8x+8$ $\begin{array}{cccccc}x& 0& 1& 2& 3& 4\\ y& 8& & 24& & 40\end{array}$

X.5Write an equation for the rule: y = …

1. 17
   $\begin{array}{cccccc}x& 3& 4& 5& 6& 7\\ y& 14& 15& 16& 17& 18\end{array}$
2. 18
   $\begin{array}{cccccc}x& 2& 3& 4& 5& 6\\ y& 21& 22& 23& 24& 25\end{array}$
3. 19
   $\begin{array}{cccccc}x& 3& 4& 5& 6& 7\\ y& 9& 10& 11& 12& 13\end{array}$
4. 20
   $\begin{array}{cccccc}x& 2& 3& 4& 5& 6\\ y& 3& 4& 5& 6& 7\end{array}$

X.1X.2Find the rule. Fill in the missing numbers.

1. 1$54,23$ (subtract 31)
2. 2$62,108$ (add 23)
3. 3$158,254$ (add 48)
4. 4$207,60$ (subtract 49)
5. 5$7.0,8.5$ (add 1.5)
6. 6$4.7,5.6$ (add 0.9)
7. 7$4.6,3.4$ (subtract 0.6)
8. 8$4.8,3.7$ (subtract 1.1)

X.3Compare Two Patterns

1. 9$54,72$; 2 times
2. 10$36,48$; 3 times
3. 11$36,48$; 2 times
4. 12$72,96$; 4 times

X.4Complete a Table from a Rule

1. 13$21$, $48$
2. 14$18$, $25$
3. 15$23$, $30$
4. 16$16$, $32$

X.5Write a Rule for a Table

1. 17$y=x+11$
2. 18$y=x+19$
3. 19$y=x+6$
4. 20$y=x+1$