Lesson 3 Scott’s Muscle March Solidify Understanding

Ready

Multiply using the distributive property.

1.

$x (x - 7)$

2.

$8 (x + 3)$

3.

$3 x (x - 4)$

4.

$- 5 (x - 4)$

5.

$7 x (x - 1)$

6.

$- 2 x (3 x + 1)$

7.

$4 x (8 x + 10)$

8.

$11 x (- 2 x + 5)$

9.

$8 x (2 x - 1)$

Set

Use first and second differences to identify the pattern in the tables as linear, quadratic, or neither. Write the recursive equation where indicated.

10.

$x$	$y$
$- 3$	$- 6$
$- 2$	$- 4$
$- 1$	$- 2$
$0$	$0$
$1$	$2$
$2$	$4$
$3$	$6$

Pattern:

linear

quadratic

neither

Recursive equation:

11.

$x$	$y$
$- 3$	$4$
$- 2$	$0$
$- 1$	$- 2$
$0$	$- 2$
$1$	$0$
$2$	$4$
$3$	$10$

Pattern:

linear

quadratic

neither

Recursive equation:

12.

$x$	$y$
$- 3$	$- 15$
$- 2$	$- 10$
$- 1$	$- 5$
$0$	$0$
$1$	$5$
$2$	$10$
$3$	$15$

Pattern:

linear

quadratic

neither

Recursive equation:

13.

$x$	$y$
$- 3$	$24$
$- 2$	$22$
$- 1$	$20$
$0$	$18$
$1$	$16$
$2$	$14$
$3$	$12$

Pattern:

A.

linear

B.

quadratic

C.

neither

14.

$x$	$y$
$- 3$	$48$
$- 2$	$22$
$- 1$	$6$
$0$	$0$
$1$	$4$
$2$	$18$
$3$	$42$

A.

linear

B.

quadratic

C.

neither

15.

$x$	$y$
$- 3$	$4$
$- 2$	$1$
$- 1$	$0$
$0$	$1$
$1$	$4$
$2$	$9$
$3$	$16$

A.

linear

B.

quadratic

C.

neither

16.

a.

Draw Figure 5.

Figure 5

b.

Predict the number of squares in figure $30$ . Show what you did to get your prediction.

c.

Write an explicit formula for finding the number of squares in any given figure.

Go

Write the first five terms of the sequence.

17.

$f (0) = - 5; f (n) = f (n - 1) + 8$

18.

$f (0) = 24; f (n) = f (n - 1) - 5$

19.

$f (0) = 25; f (n) = 3 f (n - 1)$

20.

$f (0) = 6; f (n) = 2 f (n - 1)$