NAME: _________________________ Date: ______ Period: ___

2016 ALGEBRA 1 FALL SEMESTER EXAM REVIEW

Directions: Complete each multiple-choice question. Use your notebook,

textbook and formula chart as reference material.

1.

2.

3.

What is the range of the function described by the graph?

A −5 < 𝑦 6 B −3 < 𝑥 < 2 C −5 < 𝑦 < 6 D −3 𝑦 < 2

Chris works on his homework, then goes to eat dinner, then returns to finish his

homework.

What graph best describes this situation?

A B C D

In 1992 the number of students at Strawberry University was approximately 1080. In 1996, enrollment increased to 1560. If the number of students at Strawberry University continues with this rate of change, predict the enrollment for 2004? A. 2040 C. 4750 B. 1440 D. 2520

4.

5.

6.

f(x) = {(0, -2), (1, -1), (2, 0), (3, 1)} represents a function. There are several other ways to represent this function. Which of the following is not a correct representation of the function f(x)? A. x is a natural number less than 4 and y is an integer greater than -3 and less than 2 B. C. 𝑦 = 𝑥 − 2 and the domain is { 0, 1, 2, 3} D.

0 1 2 3

-1 1 0 -2

11

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The net profit, p, that Santa’s workshop makes from the production of candy canes is represented by the equation 𝑝 = 2𝑛 – 3000, where n is the number of candy canes the workshop sells. Which is the best interpretation of this information? A. The workshop’s profit needs to be more than $3,000. B. The workshop has made a profit of $3,000. C. The workshop has sold more than 3,000 of its candy canes. D. The workshop needs to sell more than 1,500 candy canes before it makes profit.

0 1 2 3

-2

-1

0

1

A.

B.

C.

D.

7.

8.

9.

10.

11.

12.

Texans Motors charged Mr. Morgan $65.00 for brake pads plus $25.00 per hour that a mechanic worked to install the brake pads. The total charge was $215.00. For about how long did the mechanic work to install the brake pads on Mr. Morgan’s car? A. 5 hours B. 6 hours C. 7 hours D. 8 hours

Five times the difference of a number and 3 is 25. Solve for the number.

A. 2 B. 22

5

C. 8 D. 28

5

Which linear equation represents the statement “the value of y is 7 less than twice the value of x”? A. 𝑦 = 2𝑥 – 7 C. 2𝑦 = 7 – 𝑥 B. 𝑦 = 7 – 2𝑥 D. 2𝑦 = 𝑥 – 7

To find c, the total cost of an order of shirts from a certain website, the equation c = 15.25n + 3.45 can be used, where n represents the number of shirts ordered. If c is a function of n, which of the following best describes this relationship? A. The value of c is dependent on n. B. The value of n is constant in relation to c. C. The value of n is dependent on c. D. The value of c is constant in relation to n.

The sides of a triangle are 𝑥, 2𝑥 and 𝑥 + 5. If the perimeter of the triangle is 29 cm, what is the length of the longest side? A. 6 cm B. 12 cm C. 15 cm D. 9 cm

The length of a rectangle is twice the width. The perimeter is 36cm. What is the length? A. 12 cm B. 6 cm C. 18 cm D. 16 cm

13. Since the 1950s, the obesity rate increased in the United States. During the same time period,

computer usage also increased. Are these two trends an example of causation, correlation, or both?

A. Causation C. Correlation B. Both D. Cannot Tell

14. Which of the following is always true for all functions?

I. For every x there is only one y II. For every y there is only one x III. The domain is the set of real numbers.

A. I only C. II only B. I and III only D. II and III only

15.

16.

Simplify the expression: (7𝑥3 − 3𝑦2) + (2𝑥3 + 𝑦2) − 5𝑦2 + 2𝑧 A. 9𝑥6 − 7𝑦6 + 2𝑧 C. 14𝑥6 − 15𝑦6 + 2𝑧 B. 9𝑥3 − 7𝑦2 + 2𝑧 D. 9𝑥37𝑦2𝑧

What is the solution to the equation below?

3(2𝑎 – 5) – 4 = 11

Record your answer and fill in the bubbles. Be sure to use the correct place value.

17.

18.

19.

20.

21.

22.

What is the domain of the following set of ordered pairs? {(8, 2), (5, 4), (-2, -7), (-9, -9)} A. {-9, -2, 2, 4} B. {-4, 1, 5, 7} C. {-9, -2, 5, 8} D. {-9, -7, -2, 4} What is the range of the function 𝑓(𝑥) =

1

3𝑥 − 2 when the domain is {-3, 0, 9}?

A. {-2, -1, 1} C. {-3, -2, -1} B. {-1, 1, 2} D. {-3, -2, 1}

The equation x + y = 4 expresses a relation between x and y. If y = f(x), which of the following shows this relation in function notation? A. f(x) = x – 4 C. f(x) = 4 + x B. f(x) = 4 – x D. f(x) = 4x

Given the equation 2x – 4y = 16, determine the slope-intercept form.

A. 𝑦 =1

2𝑥 + 4 C. 𝑦 =

1

2𝑥 − 4

B. 𝑦 = 2𝑥 − 4 D. 𝑦 = −1

2𝑥 − 4

What is the value of y if (6, 𝑦) is a solution to the equation 3𝑥 – 6𝑦 = 44?

A. 4 C. 80

3

B. −13

3 D. −4

What is the solution to the equation?

3𝑑 + 4𝑑 – 5 = 6𝑑 + 7𝑑 + 7

Record your answer and fill in the bubbles. Be sure to use the correct place value.

23.

24.

25.

Martin drew the graph of the line 𝑦 =3

4𝑥 + 5 on a large coordinate grid in his classroom.

Julie drew the graph of the line 𝑦 =3

4𝑥 − 4 on the same coordinate grid. How does Julie’s

graph compare to Martin’s? A. Julie’s graph was less steep than Martin’s graph. B. Julie’s graph was steeper than Martin’s graph. C. Julie’s graph was 1 unit lower than Martin’s on the coordinate grid. D. Julie’s graph was 9 units lower than Martin’s on the coordinate grid.

The graph of the linear function is shown below.

If the line is shifted 3 units up, and the slope is made to be twice as steep, what is the new equation of the line? A. 𝑦 = 2𝑥 – 1 B. 𝑦 = 4𝑥 – 1 C. 𝑦 = 4𝑥 + 2 D. 𝑦 = 2𝑥 + 2

x

y

Which inequality is the solution to −7(𝑥 − 9) ≤ 41?

A. 𝑥 ≤22

7

B. 𝑥 ≤ −104

7

C. 𝑥 ≥ −50

7

D. 𝑥 ≥22

7

26.

27.

28.

29. Solve the formula 𝑎(𝑚 − 𝑟) + 𝑡 = 𝑠 for 𝑎.

Kevin graphed the linear function, 𝑦 = 25 + 5𝑥, which represents his saving plan for tickets to the Texans game. He will save $25 from his Christmas money and $5 each week, x, from his part-time job to have the amount of money, y, he needs to buy the tickets. If Kevin saved $10 each week instead of $5, combined with the $25 Christmas money, how would the graph of this new line compare to the graph of the original line? A. The line for the new function would be the same as the original line.

B. The line for the new function would be parallel to the original line.

C. The line for the new function would be less steep than the original line.

D. The line for the new function would be steeper than the original line.

Choose the linear equation that represents the table below.

Time (x) 0 2 4 6 8

Gallons (y) 25 20 15 10 5

A. 𝑦 = −5

2𝑥 + 25

B. 𝑦 = −1

5𝑥 + 25

C. 𝑦 = 25𝑥 − 5

D. 𝑦 = 5𝑥 + 25

What is the slope of the line that contains the points (5, 2) and (5, -3)?

A. 0 B. −1

10

C. Undefined C. -10

A. B.

C. D.

30.

31.

Use the graph 𝑦 =1

2𝑥 + 3 to solve the equation for x when y = 6.

A. 𝑥 = 6 B. 𝑥 = 0 C. 𝑥 = −6 D. 𝑥 = 5

32.

33.

What is the equation of the line below?

A. 𝑦 = −

1

2𝑥 + 3 C. 𝑦 =

1

2𝑥 + 3

B. 𝑦 = −2𝑥 + 3 D. 𝑦 = 2𝑥 + 3

x

y

34.

Which table below represents a linear function?

X 0 1 2 3

Y -2 2 -3 4

X -2 4 10 15

Y 1 2 3 4

X 0 1 3 7

Y -4 -1 5 17

X 0 2 4 6

Y -3 7 12 17

A. B. C. D.

To find 𝑐, the total cost of your monthly cell phone bill, the equation 𝑐 = .10𝑚 + 25 can be used, where 𝑚 represents the number of minutes used. If 𝑐 is a function of 𝑚, which of the following best describes this relationship?

A. The value of 𝑐 is dependent on 𝑚.

B. The value of 𝑐 is constant in relation to 𝑚.

C. The value of 𝑚 is dependent on 𝑐.

D. The value of 𝑚 is constant in relation to 𝑐.

35.

36.

37.

38.

The table below shows ordered pairs for a linear function.

X 0 2 5 6

Y -5 -1 5 7

Which equation will yield these ordered pairs? A. 𝑦 = 𝑥 − 5

B. 𝑦 = 4𝑥 + 5

C. 𝑦 = 2𝑥 − 5

D. 𝑦 = −4𝑥 − 1

What is the equation of the line with a slope of −

4

3 and a y-intercept of -2?

A. 𝑦 = −4

3𝑥 + 2 B. −2 = −

4

3𝑥 − 2

C. 𝑦 = −4

3𝑥 − 2 D. −2 = −

4

3𝑥 + 𝑦

Which graph shows a slope of -2 and a y-intercept of 1? A. B.

C. D.

x

y

x

y

x

y

x

y

Given the equation 6𝑥 − 𝑦 = 4, determine the slope-intercept form.

A. 𝑦 = −6𝑥 + 4

B. 𝑦 =2

3𝑥 − 4

C. 𝑦 =3

2𝑥 + 4

D. 𝑦 = 6𝑥 − 4

39.

40. What is the slope of all lines parallel to the line −3𝑥 + 4𝑦 = 7

A. −

4

3

B. 3

4

C. 7

4

D. −3

4

41.

Southern Phone Company is promoting a new cell phone service plan: a customer can make up to 500 minutes of calls each month for $39.99. If the number of minutes used in a month exceeds 500, then the function

𝑐 = 0.40(𝑚 − 500) + 39.99 describes the monthly charge, c, in dollars in terms of m, the total number of minutes used. Which of the following statements best describes this function?

A. If the total number of minutes used is more than 500, then every minute beyond 500 costs 40 cents.

B. Every minute used costs 40 cents, regardless of the total number of minutes used.

C. The first 500 minutes used costs 40 cents each, after which there is an additional $39.99.

D. If the total number of minutes used is more than 500, then every minute used

costs 40 cents.

A line has a slope of -3 and contains the point (3 , −8). Which is an equation of this line?

A. 𝑦 = −3𝑥 + 11

B. 𝑦 = 3𝑥 − 8

C. 𝑦 = −3𝑥 − 17

D. 𝑦 = −3𝑥 + 1

42.

43.

44.

45.

46.

The equation 𝑥 + 𝑦 = 11 expresses a relation between 𝑥 and 𝑦. If 𝑦 = 𝑓(𝑥), which of the following shows this relation in function notation?

A. 𝑓(𝑥) = 11 + 𝑥

B. 𝑓(𝑥) = 11 − 𝑥

C. 𝑓(𝑥) = 𝑥 − 11

D. 𝑓(𝑥) = 11𝑥

Which of the following represents a solution to −4(𝑥 + 11) ≤ 28 ?

A. 𝑥 ≤ −18

B. 𝑥 ≥ 4

C. 𝑥 ≥ −17

4

D. 𝑥 ≥ −18

Which equation describes the line with a zero slope and containing the point (3,-3)?

A. 𝑦 = −3

B. 𝑦 = 3𝑥 − 3

C. 𝑥 = −3

D. 𝑦 = 3

What is the value of 𝑦 if (−3, 𝑦) is a solution to the equation 4𝑥 − 2𝑦 = 8? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

The sides of a triangle are 3𝑥, 𝑥 − 7 and 2𝑥 + 4. If the perimeter is 69 centimeters, what is the length of the longest side?

A. 12 centimeters

B. 36 centimeters

C. 5 centimeters

D. 30 centimeters

47. Write the first four terms of the sequence whose general term is given by 𝑎𝑛 = 3(−1)𝑛−1.

48. Which of the following graphs represents exponential growth?

49.

A. 3, -6, 12, -24

B. 3, 6, 12, 24

C. 0, -3, 3, -3

D. 3, -3, 3, -3

A.

B.

C.

D.

The graph of a linear function is shown below.

If the line is shifted 3 units up and the slope is multiplied by −2, what is the new equation of the line?

A. 𝑦 = −1

2𝑥 + 7

B. 𝑦 = −1

2𝑥 + 4

C. 𝑦 = 𝑥 + 7

D. 𝑦 = 𝑥 + 4

50.

51.

A.

B.

C.

D.

52. Which table of data exhibits the exponential behavior of 𝑦 = 𝑥𝑥+1?