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11/22/2020 Chapter 1 Review-Natalie Banks

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Student: Natalie Banks Date: 11/22/20

Instructor: Sam Pearsall Course: Math 55, Oct-Dec F20 Assignment: Chapter 1 Review

Solve using the addition principle. Don't forget to check.

x− 25 + = − 69

The solution is x .= − 44

Solve using the multiplication principle. Don't forget to check.

x3 = 12

The solution is x .= 4

Solve using the addition and multiplication principles together. Don't forget to check.

x− 7 4 +

1 4 = − 12

What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is x .= 7 (Type an integer or a simplified fraction.)

B. The solution is all real numbers. C. There is no solution.

Solve using the principles together. Don't forget to check.

( x ) (x )7 5 + 8 = 12 − + 4

What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is x . (Type an integer or a simplified fraction.)= −

4 3

B. The solution is all real numbers. C. There is no solution.

Solve x y for x.B + G = K The solution is x .=

The sum of the page numbers on the facing pages of a book is . What are the page numbers?621

The number on the left page is and the number on the right page is .310 311

An assistant receives a % raise, bringing the salary to $ . What was the salary before the raise? 2 41,384

The original salary was approximately $ .40,573 (Round to the nearest dollar.)

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10.

Jen's motorboat travels at a speed of mph in still water. Booth River flows at a speed of mph. How long will it take Jen to travel mi upstream? mi downstream?

14 3 14 14

It will take Jen hr to travel mi upstream.1.27 14 (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed. )

It will take Jen hr to travel mi downstream.0.82 14 (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed. )

YOU ANSWERED: 12 14

Write interval notation for the set {x | x }.− 6 ≤ ≤ 6

Choose the correct interval.

A. ( − 6, 6] B. ( − 6, 6) C. [ − 6, 6] D. [ − 6, 6)

YOU ANSWERED: B.

Write interval notation for the graph.

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Choose the correct interval below.

A. [6, ∞]

B. [6, ∞)

C. (6, ∞)

D. [6, 10)

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11.

12.

Solve and graph the following inequality.

x − 13 ≤ − 4

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution is .x|x >

B. The solution is .x|x <

C. The solution is .x|x ≤ 9

D. The solution is .x|x ≥

Which of the following is the graph of the solution?

A. -25 -20 -15 -10 -5 0 5 10 15 20 25

B. -25 -20 -15 -10 -5 0 5 10 15 20 25

C. -25 -20 -15 -10 -5 0 5 10 15 20 25

D. -25 -20 -15 -10 -5 0 5 10 15 20 25

YOU ANSWERED: D.: − 9

Solve and graph the following inequality.

x + 7 > 1

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution set is .x|x <

B. The solution set is .x|x > − 6

C. The solution set is .x|x ≥

D. The solution set is .x|x ≤

Which of the following is the graph of the solution set?

A. -10 -8 -6 -4 -2 0 2 4 6 8 10

B. -10 -8 -6 -4 -2 0 2 4 6 8 10

C. -10 -8 -6 -4 -2 0 2 4 6 8 10

D. -10 -8 -6 -4 -2 0 2 4 6 8 10

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13.

14.

Solve and graph the following inequality.

a + 8 ≤ − 14

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution is .a | a ≥

B. The solution is .a | a ≤ − 22

C. The solution is .a | a >

D. The solution is .a | a <

Which of the following is the graph of the solution?

A. -30 -25 -20 -15 -10 -5 0 5

B. -30 -25 -20 -15 -10 -5 0 5

C. -30 -25 -20 -15 -10 -5 0 5

D. -30 -25 -20 -15 -10 -5 0 5

YOU ANSWERED: A.

Solve and graph the following inequality.

y − 5 > − 12

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution is .y | y > − 7

B. The solution is .y | y <

C. The solution is .y | y ≥

D. The solution is .y | y ≤

Which of the following is the graph of the solution?

A. -20 -15 -10 -5 0 5 10 15 20

B. -20 -15 -10 -5 0 5 10 15 20

C. -20 -15 -10 -5 0 5 10 15 20

D. -20 -15 -10 -5 0 5 10 15 20

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15.

16.

17.

Solve and graph.

x4 ≥ 36

The solution set is . [9,∞) (Type your answer in interval notation.)

Which of the following is the graph of the solution?

7 8 9 10 11

YOU ANSWERED: x ≥ 9

Solve and graph the following inequality.

x0.3 < − 6

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution set is .x|x ≥

B. The solution set is .x|x ≤

C. The solution set is .x|x >

D. The solution set is .x|x < − 20

Which of the following is the graph of the solution?

A. -22 -21 -20 -19 -18

B. -22 -21 -20 -19 -18

C. -22 -21 -20 -19 -18

D. -22 -21 -20 -19 -18

Solve the following inequality.

x5 + 1 < 6

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution set is .x|x < 1

B. The solution set is .x|x ≤

C. The solution set is .x|x ≥

D. The solution set is .x|x >

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18.

19.

20.

Solve the following inequality.

y y2 − 1 < 4 − 2

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution set is .y|y ≤

B. The solution set is .y|y <

C. The solution set is .y|y ≥

D. The solution set is .y|y >

1 2

Solve.

x x0.3 + 5 ≤ 1.1 − 6

The solution set is . [13.75,∞) (Type your answer in interval notation. Use integers or decimals for any numbers in the expression.)

YOU ANSWERED: x ≥ 13.75

Solve the following inequality.

x x4 − 3 16 ≤

5 16 + 3

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution set is .x|x ≤

1 2

B. The solution set is .x|x <

C. The solution set is .x|x ≥

D. The solution set is .x|x >

YOU ANSWERED: C.: − 5 36

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21.

22.

23.

Solve the following inequality.

( y ) ( y )2 5 − 4 ≥ 5 3 + 7

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution set is .y|y ≥

B. The solution set is .y|y ≤ −

43 5

C. The solution set is .y|y <

D. The solution set is .y|y >

The Warbler House Inn offers two plans for wedding parties. Under plan A, the inn charges $ for each person in attendance. Under plan B, the inn charges $ plus $ for each person in excess of the first who attend. For what size parties will plan B cost less? (Assume that more than guests will attend.)

35 1600 25 20

Let p repressents the number of guests. Select the correct choice below and fill in the answer box to complete your choice.

(Round to the nearest whole number.)

A. The solution set is { | p ≥ .p

B. The solution set is { | p ≤ .p

C. The solution set is { | p < .p

D. The solution set is { | p > .p

Graph and write in interval notation.

< x < 2 6

Choose the graph of the solution.

-5 0 5 10 15 20 25

Write the solution in interval notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set is . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)

B. The solution set is .∅

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24.

25.

26.

Graph the compound inequality. Write the solution using interval notation.

x or x< − 5 > 5

Choose the correct graph below.

A. -6 -4 -2 0 2 4 6

B. -6 -4 -2 0 2 4 6

C. -6 -4 -2 0 2 4 6

Write the solution in interval notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set is . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)

B. The solution set is .∅

Find the intersection.

{ , , , } { , , , }5 7 9 10 ∩ 3 7 10 12

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The intersection is . (Use a comma to separate answers as needed.)

B. The intersection is the empty set.

Find the union.

{ , , , , } { , , , }6 7 8 9 10 ∪ 5 6 8 11

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The union is . (Use a comma to separate answers as needed.)

B. The union is the empty set.

11/22/2020 Chapter 1 Review-Natalie Banks

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27. Solve and graph the following.

x and x2 + 6 ≥ 4 3 − 25 ≥ − 19

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is .x | x >

B. The solution is .< x <

C. The solution is .≤ x ≤

D. The solution is .x | x ≥

E. The solution set is .∅

Choose the correct graph below.

A. -10 -5 0 5 10

-10 -5 0 5 10

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28. Solve and graph the following inequality.

x or x8 − 9 ≤ − 8 − 2 ≥ 9

Which of the following is the graph of the solution of the compound inequality?

-25 -20 -15 -10 -5 0 5 10 15 20 25

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or fractions.)

A. The solution set is .x|x < or x >

B. The solution set is .x|x < or x ≥

C. The solution set is .x|x ≤ or x ≥

D. The solution set is .x|x ≤ or x >

E. The solution set is all real numbers.

F. The solution set is .∅

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)

B. The solution set is .∅

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29.

30.

31.

32.

33.

Solve and graph the following inequality.

x < or x > + 10 − 3 + 10 3

Select the correct choice below and fill in the answer box to complete your choice.

A. The solution set is .x | x ≤ or x ≥

B. The solution set is .x | x < or x >

C. The solution set is .x | x <

D. The solution set is .x | x >

Which of the following is the graph of the solution of the compound inequality?

-25 -20 -15 -10 -5 0 5 10 15 20 25

Simplify.

− 9 r

The answer is .

Simplify.

− z

The answer is .

Simplify.

− 36n2

The answer is .

Find the distance between the points on a number line.

,− 3 − 45

The distance is .

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34.

35.

36.

37.

38.

Solve.

x = 5

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set is . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

B. The solution set is the empty set.

Solve.

x − 5 = 23

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set is . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

B. The solution set is the empty set.

Solve.

3x + 4 = x − 11

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set is . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

B. The solution is all real numbers.

Solve.

3x − 8 = − 17

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set is . (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

B. The solution set is the empty set.

Solve.

x ≥ 20

Write the solution using interval notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution set is . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.)

B. The solution set is the empty set.

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39.

40.

One formula for projecting human birth weight is given by P 9.337da 299, where:= − P the projected birth weight in grams,= d the diameter of the head in centimeters, and= a the circumference of the abdomen in centimeters at weeks, using ultrasound. = 29

Use the formula to estimate the birth weight of a baby which has a head diameter of cm and an abdominal circumference of cm.

9.4 57.3

The formula predicts a birth weight of approximately grams. (Round to the nearest gram.)

Solve the formula for a.

A. a =

P + 299 9.337a

B. a =

P + 299 9.337d

C. a = P + 299 − 9.337d D. a =

P − 299 9.337d

The equation P 1 gives the pressure, P, in atmospheres (atm) at a depth of d feet in the sea. For what depths d is

the pressure at least atm and at most atm?

= + d 33 4 5

The solution is .d | ft ≤ d ≤ ft