algebra part 1 3

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Question 1 (5 points)

Which of the following is the graph of the solution set of m > –1 and m ≤ 1?

Question 1 options:

a)

b)

c)

d)

Question 2 (5 points)

Pete’s grade on a test was within 5 points of his class average of 94. What is his range of grades on the test?

Question 2 options:

a)



g < 99 or g < 89




g




<




99




o


r




g




<




89

b)



g≤89 or g ≥99




g


≤


89




o


r




g




≥


99

c)



89≤g≤99




89


≤


g


≤


99

d)



g≥89 or g≥99




g


≥


89




o


r




g


≥


99

Question 3 (5 points)

Which ordered pair is part of the solution set of the inequality 12 + y ≤ –3x?

Question 3 options:

a)

(1, 4)

b)

(–16, 3)

c)

(3, –16)

d)

(4, –1)

Question 4 (5 points)

Solve the inequality

3 ≥ t + 1

Question 4 options:

a)

{t | t ≤ 2}

b)

{t | t ≤ 4}

c)

{t | t ≥ 4}

d)

{t | t ≥ 2}

Question 5 (5 points)

Juan’s income y consists of at least $37,500 salary plus 5% commission on all of his sales x. Which inequality represents Juan’s income in one year?

Question 5 options:

a)

y ≥ x + 0.05(37,500)

b)

y ≥ 37,500 + 0.05x

c)

y ≤ 37,500 + 5x

d)

y ≥ 37,500 + 5

Question 6 (5 points)

Which inequality has the solution set shown in the graph?

Question 6 options:

a)

y < 1

b)

y ≤ 1

c)

y > 1

d)

y ≥ 1

Question 7 (5 points)

Which inequality corresponds to the graph shown?

Question 7 options:

a)

|𝑥 − 3| ≥ 1

b)

|𝑥 − 3| ≤ 1

c)

|𝑥 − 1| ≤ 3

d)

|𝑥 − 1| ≥ 3

Question 8 (5 points)

Solve the inequality x – 7 > 3

Question 8 options:

a)

{x | x > –4}

b)

{x | x < –4}

c)

{x | x < 10}

d)

{x | x > 10}

Question 9 (5 points)

Which compound inequality has the solution set shown in the graph?

Question 9 options:

a)

x < –1 or x > 3

b)

x > –1 or x ≥ 3

c)

x > –1 or x < 3

d)

x ≤ –1 or x ≥ 3

Question 10 (5 points)

Which of the following is the solution set of 2a + 1 > 9 or a < –1?

Question 10 options:

a)

{a | a ≤ –1 or a ≥ 4}

b)

{a | a < –1 or a > 5}

c)

{a | –1 ≤ a ≤ 4}

d)

{a | a < –1 or a > 4}

Question 11 (5 points)

Laurie and Maya sold at most $50 worth of get-well and friendship cards. The friendship cards, x, were sold for $2 each and the get-well cards, y, were sold for $1.50 each. Which point represents a reasonable number of cards sold?

Question 11 options:

a)

(18, 20)

b)

10, 30)

c)

(15, 10)

d)

(20, 10)

Question 12 (5 points)

Solve the inequality



−36 ≤3t




–


36




≤


3


t



Question 12 options:

a)



{t ∣∣ t≥12}






t




|




t


≥


12

b)



{t ∣∣ t ≤−12}






t




|




t




≤


–


12

c)



{t ∣∣ t≤12}






t




|




t


≤


12

d)



{t ∣∣ t≥−12}






t




|




t


≥


–


12

Question 13 (5 points)

Which inequality has the solution set shown in the graph?

Question 13 options:

a)

y < –x + 2

b)

y < –x + 1

c)

y > –x + 2

d)

y > –x + 1

Question 14 (5 points)

Which inequality has a solution set of {x ⎸x > 3 or x < –3}?

Question 14 options:

a)

|2𝑥| < 6

b)

|2𝑥| > 6

c)

|2𝑥| ≥ 6

d)

|2𝑥| ≤ 6

Question 15 (5 points)

Solve the inequality

5m < –25

Question 15 options:

a)

{m | m > –5}

b)

{m | m < –5}

c)

{m | m < –125}

d)

{m | m < 125}

Question 16 (5 points)

Which of the following is the solution set of –4 < 3t + 5 ≤ 20?

Question 16 options:

a)

{t | t < –3 or t ≥ 5}

b)

{t | t < –3 and t ≤ 5}

c)

{t | t < –3}

d)

{t | –3 < t ≤ 5}

Question 17 (5 points)

Phillip has between two hundred and three hundred baseball cards. Which inequality represents this situation?

Question 17 options:

a)

p < 200 and p > 300

b)

200 < p < 300

c)

200 > p > 300

d)

p < 300 or p < 200

Question 18 (5 points)

More than eighteen students in an algebra class pass the first test. This is about three fifths of the class. How many students are in the class?

Question 18 options:

a)

<

 
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