ORCCA Answers to Exercises

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Appendix C Answers to Exercises

I Preparation for STEM
1 Topics in Graphing
1.1 Review of Graphing
1.1.4 Exercises

1.1.4.3.

Answer.

$a Cartesian plot with the points labeled;(8,2) is right 8, up 2;(5,5) is right 5, up 5;(-3,0) is left 3, up 0;(2,-6) is right 2, down 6$

1.1.4.5.

Answer.

- 1; - 8; 0; 0; 1; 8; 2; 16; 3; 24

1.1.4.7.

Answer.

- 1; - 13; 0; - 5; 1; 3; 2; 11; 3; 19

1.1.4.9.

Answer.

- 8; - 19; 0; - 8; 8; 3; 16; 14; 24; 25

1.1.4.11.

Answer.

- 11; - 17; 0; - 4; 11; 9; 22; 22; 33; 35

1.1.4.13.

Answer.

$x$	$y = 2 x + 3$	Point
$- 2$	$- 1$	$(- 2, - 1)$
$- 1$	$1$	$(- 1, 1)$
$0$	$3$	$(0, 3)$
$1$	$5$	$(1, 5)$
$2$	$7$	$(2, 7)$

1.1.4.15.

Answer.

$x$	$y = \frac{4}{3} x$	Point
$- 3$	$- 4$	$(- 3, - 4)$
$0$	$0$	$(0, 0)$
$3$	$4$	$(3, 4)$

1.1.4.17.

Answer.

$x$	$y = x^{2} + 1$	Point
$- 2$	$5$	$(- 2, 5)$
$- 1$	$2$	$(- 1, 2)$
$0$	$1$	$(0, 1)$
$1$	$2$	$(1, 2)$
$2$	$5$	$(2, 5)$

1.1.4.19.

Answer 1.

0

Answer 2.

10

Answer 3.

(0, 10)

Answer 4.

4

Answer 5.

0

Answer 6.

(4, 0)

1.1.4.21.

Answer 1.

0

Answer 2.

8

Answer 3.

(0, 8)

Answer 4.

- 5

Answer 5.

0

Answer 6.

(- 5, 0)

1.1.4.23.

Answer.

x

-intercept:

(2, 0)

y

-intercept:

(0, - 5)

1.1.4.25.

Answer.

x

-intercept:

(- 15, 0)

y

-intercept:

(0, - 3)

1.1.4.27.

Answer.

1.1.4.29.

Answer.

1.2 Key Features of Quadratic Graphs
1.2.6 Exercises

1.2.6.1.

Answer 1.

5

Answer 2.

(- 2, 5)

Answer 3.

4

Answer 4.

(- 1, 4)

Answer 5.

3

Answer 6.

(0, 3)

Answer 7.

2

Answer 8.

(1, 2)

Answer 9.

1

Answer 10.

(2, 1)

1.2.6.3.

Answer 1.

- 6

Answer 2.

(- 8, - 6)

Answer 3.

- 1

Answer 4.

(- 4, - 1)

Answer 5.

4

Answer 6.

(0, 4)

Answer 7.

9

Answer 8.

(4, 9)

Answer 9.

14

Answer 10.

(8, 14)

1.2.6.5.

Answer.

- 3

1.2.6.7.

Answer.

48

1.2.6.9.

Answer 1.

x = 3

Answer 2.

(3, 33)

1.2.6.11.

Answer 1.

x = - 1

Answer 2.

(- 1, - 1)

1.2.6.13.

Answer 1.

x = - 4

Answer 2.

(- 4, 20)

1.2.6.15.

Answer 1.

x = 4

Answer 2.

(4, - 48)

1.2.6.17.

Answer 1.

x = 0

Answer 2.

(0, 2)

1.2.6.19.

Answer 1.

x = - \frac{3}{2}

Answer 2.

(- \frac{3}{2}, \frac{19}{4})

1.2.6.21.

Answer 1.

x = 2.5

Answer 2.

(2.5, 9.5)

1.2.6.23.

Answer 1.

x = 0

Answer 2.

(- 0, 0)

1.2.6.25.

Answer 1.

x = 0

Answer 2.

(- 0, 4)

1.2.6.27.

Answer 1.

x = - 2

Answer 2.

(- 2, 5)

1.2.6.45.

Answer 1.

- 3, 3

Answer 2.

- 9

1.2.6.47.

Answer 1.

1, - 4

Answer 2.

- 4

1.2.6.49.

Answer 1.

240 f t

Answer 2.

120 f t

Answer 3.

28800 f t^{2}

1.2.6.51.

Answer 1.

250 f t

Answer 2.

125 f t

Answer 3.

31250 f t^{2}

1.2.6.53.

Answer 1.

54 f t

Answer 2.

40.5 f t

Answer 3.

2187 f t^{2}

1.2.6.55.

Answer 1.

35.2 f t

Answer 2.

22 f t

Answer 3.

774.4 f t^{2}

1.2.6.57.

Answer 1.

$ 54,675.00

Answer 2.

$ 405.00

Answer 3.

$ 225.00

Answer 4.

$ 585.00

1.3 Graphing Quadratic Expressions
1.3.6 Exercises

1.3.6.1.

Answer.

{- 9, - 5}

1.3.6.3.

Answer.

{1}

1.3.6.5.

Answer.

{4, - 4}

1.3.6.7.

Answer.

{\frac{\sqrt{493}}{17}, \frac{- \sqrt{493}}{17}}

1.3.6.9.

Answer.

{\frac{- 4 - 2 \sqrt{7}}{3}, \frac{- 4 + 2 \sqrt{7}}{3}}

1.3.6.11.

Answer.

no real solutions

1.3.6.13.

Answer 1.

(0, 3)

Answer 2.

(- 3, 0), (- 1, 0)

1.3.6.15.

Answer 1.

(0, - 1)

Answer 2.

(- 1, 0), (1, 0)

1.3.6.17.

Answer 1.

(0, 0)

Answer 2.

(0, 0), (1, 0)

1.3.6.19.

Answer 1.

(0, 16)

Answer 2.

(4, 0)

1.3.6.21.

Answer 1.

(0, 2)

Answer 2.

DNE

1.3.6.23.

Answer 1.

(0, 4)

Answer 2.

DNE

1.3.6.25.

Answer 1.

(0, - 9)

Answer 2.

(4.8541, 0), (- 1.8541, 0)

1.3.6.27.

Answer 1.

(0, 5)

Answer 2.

(- 0.807418, 0), (- 6.19258, 0)

1.3.6.29.

Answer 1.

(0, 49)

Answer 2.

(1.4, 0)

1.3.6.31.

Answer 1.

(0, - 9)

Answer 2.

(4.5, 0), (1, 0)

1.3.6.53.

Answer 1.

14 s

Answer 2.

3136 f t

Answer 3.

28 s

Answer 4.

2736 f t

Answer 5.

10 s

Answer 6.

18 s

1.3.6.55.

Answer 1.

23 s

Answer 2.

2752.1 m

Answer 3.

46.6992 s

Answer 4.

2732.5 m

Answer 5.

2 s

Answer 6.

44 s

1.3.6.57.

Answer.

will not

1.3.6.59.

Answer.

will not

1.3.6.61.

Answer 1.

0.125972

Answer 2.

16.2006

1.3.6.63.

Answer 1.

$ 150.00

Answer 2.

$ 340.00

1.3.6.65.

Answer 1.

(\frac{- n - \sqrt{n^{2} - 4 p}}{2}, 0), (\frac{- n + \sqrt{n^{2} - 4 p}}{2}, 0)

Answer 2.

(0, p)

Answer 3.

(\frac{- n}{2}, \frac{4 p - n^{2}}{4})

1.4 Graphically Solving Equations and Inequalities
1.4.4 Exercises

1.4.4.1.

Answer.

two times

1.4.4.3.

Answer.

three times

1.4.4.5.

Answer.

zero times

1.4.4.7.

Answer.

zero times

1.4.4.9.

Answer 1.

(- 6, 5), (2, 5)

Answer 2.

{- 6, 2}

Answer 3.

(- \infty, - 6) \cup (2, \infty)

1.4.4.11.

Answer 1.

(- 2.5, - 5), (4, - 5)

Answer 2.

{- 2.5, 4}

Answer 3.

(- 2.5, 4)

1.4.4.13.

Answer 1.

(- 2, 3), (2, - 1)

Answer 2.

{- 2, 2}

Answer 3.

(- \infty, - 2) \cup (2, \infty)

1.4.4.15.

Answer 1.

(- 2, - 2), (0, 0), (2, 2)

Answer 2.

{- 2, 0, 2}

Answer 3.

(- 2, 0) \cup (2, \infty)

1.4.4.17.

Answer 1.

(- 3, 1), (5, 3)

Answer 2.

{- 3, 5}

Answer 3.

(- 3, 5)

1.4.4.19.

Answer 1.

(- 2, - 2), (0, 0)

Answer 2.

{- 2, 0}

Answer 3.

(- \infty, - 2) \cup (0, \infty)

1.5 Topics in Graphing Chapter Review
1.5.5 Exercises

1.5.5.1.

Answer.

- 1; 18; 0; 0; 1; - 18; 2; - 36; 3; - 54

1.5.5.3.

Answer.

- 4; - 8; 0; - 5; 4; - 2; 8; 1; 12; 4

1.5.5.5.

Answer.

$x$	$y = 2 x + 3$	Point
$- 2$	$- 1$	$(- 2, - 1)$
$- 1$	$1$	$(- 1, 1)$
$0$	$3$	$(0, 3)$
$1$	$5$	$(1, 5)$
$2$	$7$	$(2, 7)$

1.5.5.7.

Answer 1.

0

Answer 2.

- 6

Answer 3.

(0, - 6)

Answer 4.

- 5

Answer 5.

0

Answer 6.

(- 5, 0)

1.5.5.9.

Answer.

x

-intercept:

(- 18, 0)

y

-intercept:

(0, 15)

1.5.5.11.

Answer 1.

x = - 3

Answer 2.

(- 3, - 13)

1.5.5.13.

Answer 1.

x = - 5

Answer 2.

(- 5, 20)

1.5.5.15.

Answer 1.

x = 0

Answer 2.

(0, - 2)

1.5.5.17.

Answer 1.

x = - 0.5

Answer 2.

(- 0.5, - 3.5)

1.5.5.19.

Answer 1.

x = 0

Answer 2.

(- 0, - 2)

1.5.5.29.

Answer 1.

- 4.5, 4.5

Answer 2.

- 20.25

1.5.5.31.

Answer 1.

(0, - 5)

Answer 2.

(- 5, 0), (1, 0)

1.5.5.33.

Answer 1.

(0, 4)

Answer 2.

(- 2, 0)

1.5.5.35.

Answer 1.

(0, - 7)

Answer 2.

(1.54138, 0), (- 4.54138, 0)

1.5.5.37.

Answer 1.

(0, 9)

Answer 2.

(- 1.8, 0), (1, 0)

1.5.5.49.

Answer 1.

20 s

Answer 2.

6400 f t

Answer 3.

40 s

Answer 4.

4464 f t

Answer 5.

6 s

Answer 6.

34 s

1.5.5.51.

Answer 1.

0.204082

Answer 2.

10

1.5.5.53.

Answer.

two times

1.5.5.55.

Answer.

zero times

1.5.5.57.

Answer 1.

(- 6, 5), (2, 5)

Answer 2.

{- 6, 2}

Answer 3.

(- \infty, - 6) \cup (2, \infty)

1.5.5.59.

Answer 1.

(- 2, 3), (2, - 1)

Answer 2.

{- 2, 2}

Answer 3.

(- \infty, - 2) \cup (2, \infty)

1.5.5.61.

Answer 1.

(- 3, 1), (5, 3)

Answer 2.

{- 3, 5}

Answer 3.

(- 3, 5)