1st 9 weeks Exam Review

ID: kugah-zofak
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Avatar for Chris GomezChris Gomez, BP BY-NC
Subject: Math
Grade: 9-11
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11 questions

1st 9 weeks Exam Review

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1) Cinemark movie tickets cost $10 for adult tickets and $8 for child tickets. On a Saturday night the theater sold 645 tickets and made $4525.


Which of the following represents this situation?

a)

x + y = 4525

10x + 8y = 645

b)

x + y = 4525

10y + 8x = 645

c)

10x + y =4525

x + 8y = 645

d)

x + y = 645

10x + 8y = 4525

2) Using desmos. Graph the following two functions


f(x)=xf(x)=|x|

g(x)=6x+8g(x)=-6|x|+8


Correctly select the answer that describes the transformation of g(x)

a)

x-axis reflection, vertical stretch, shift 8 units down

b)

x-axis reflection, horizontal stretch, shift 8 units up

c)

x-axis reflection, vertical stretch, shift 8 units up

d)

x-axis reflection, horizontal stretch, shift 8 units down

3) Solve the following absolute value inequality


5x+10>25|5x+10|>25

4) Use any method. Which of the following best describes the system below?


3y = - 2x + 5

6x + 9y = 15

a)

consistent and dependent (infinite solutions)

b)

inconsistent (no solutions)

c)

consistent and independent (one solution)

d)

inconsistent and dependent (two solutions)

5) The El Paso Plaza sells tickets for their shows for cost of $4 and $6. If the Plaza sells a total of 75 tickets for a total of $400, how many of the $6 tickets were sold?

6) Which of the following points satisfies the following system of inequalities


5x + 12y < 2

7x + 2y < 10

a)

(-1, 2)

b)

(2, -1)

c)

(1, -2)

d)

(2, 1)

7) Solve the following absolute value equation. Select the correction solution set


68x+6=306|8-x|+6=30

a)

{4, 12}

b)

{4}

c)

{12}

d)

{4,-12}

8) Using any method. Solve the following system (answer should be a point)


6x + 4y = 32

21x + 3y = 57

9) What is the domain and range for the following function

A template for answering this question. Ask your instructor for an alternative.
a)

Domain [0, +\infty)

Range [0, +\infty)

b)

Domain [0, 5)

Range [0, 3)

c)

Domain (-\infty, +\infty)

Range (-\infty, +\infty)

Show Work

10) The parent function for the absolute value is f(x)=xf(x)=|x|, if a second function is graphed g(x)=5x7+10g(x)=5|x-7|+10. What transformations occurred for g(x)g(x)

a)

the graph is narrow, shifts 7 units left, shifts 10 units down

b)

the graph is narrow, shifts 7 units right, shifts 10 units down

c)

the graph is narrow, shits 7 units left, shifts 10 units up

d)

the graph is narrow, shifts 7 units right, shifts 10 units up

11) Use any method. Solve the following system (answer should be a point)


6x - 9y = 63

8x = 2y - 6