Instructional Materials Algebra 1 – S1 2012-2013Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

1. Evaluate the expression (x−h)2−(x−h)h

when x=−2 and h=3.A. −10 C. 0

B. 203 D. 10

2. Ayanna and Zoe are measuring the speed of a snail. Which units would be most appropriate for measuring this quantity?A. miles per hour C. meters per second B. minutes per millimeter D. millimeters per minute

3. A parking lot holds 42 cars. There are 26 cars in the lot already. Which inequality can be solved to show all the numbers of cars (c ) that can still park in the lot?A. 26+c<42 C. 26+42<cB. 26+c≤42 D. 26+42≤ c

4. Leroy works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 more boxes to move. Which equation can be solved to find how many boxes Leroy moved before his break? A. 15+34=x C. 34−x=15B. 15−x=34 D. 34+ x=15

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Instructional Materials Algebra 1 – S1 2012-2013

5. Which of the following represents a function?I. Input Out-

put II. Input Out-

put III. Input Out-

put2 5 2 4 1 13 5 3 6 2 24 5 3 8 3 25 5 5 10 4 1

A. AllB. I and IIC. I and IIID. II and III

6. Which graph does not represent a function?

A.

C

B.

D.

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Instructional Materials Algebra 1 – S1 2012-2013

7. A rental car agency charges $17 per day plus $0.07 per mile to rent a certain car. Another agency charges $22 per day plus $0.05 per mile to rent the same type of car. Which equation represents the number of miles that each agency’s car would need to be driven in order for them to have an equal cost?A. 0.07 x=0.05 xB. 0.07 x−17=0.05 x−22C. 0.07 x+17=0.05x+22D. 17+22=0.07 x+0.05 x

8. At the beginning of the year, Jason had $40 in his savings account. He plans to deposit $20 into his account each month. By the end of Janu-ary, he will have $60 in his account, $80 by the end of February, $100 by the end of March, and so on. Which equation describes the amount in his savings (s) at any given month (m)? A. s=40+12m C. s=60+15mB. s=60+m D. s=20m+40

9. Given the following equation, what is the value of x ?−3 x+25+x+21=2

A. x=22 C. x=−3B. x=3 D. x=−22

10. What is the solution for x in the equation, x3+7=−5 ?

A. x=−36

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543210-1-2-3-4-5

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Instructional Materials Algebra 1 – S1 2012-2013

B. x=−22C. x=−6D. x=−4

11. What is the solution for x in 5 x−2+2 x=7 x−2 ?A. x=0B. x=1C. no solutionD. infinitely many solutions

12. Which of the following inequalities represents the solution to 9m ≤−72 ?A. m ≥−8B. m ≤−8C. m ≤−81D. m ≤−648

13. Which of the following inequalities represents the solution to3a+3−6a>15 ?

A. a←6B. a>4C. a← 4D. a>−4

14. What is the solution to the compound inequality, 14≤7 x−7<42 ?A. 2≤ x<72 C. 1≤ x<5B. 9≤ x<13 D. 3≤ x<7

15. Which number line represents the solution to the compound inequality, 2 x+5<1 or 4 x−7≥9 ?

A. C.

B. D.

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Instructional Materials Algebra 1 – S1 2012-2013

16. Sean is driving to visit his friend in another state. In the first hour, he travels 15 of the total distance. In the second hour, he travels 34 miles. If he has 194more miles to go, how far apart do the friends live?A. 294miles C. 274milesB. 285miles D. 262miles

17. A movie theater charges $8.50 for an adult ticket to an evening show-ing of a popular movie. To help the local animal shelter, the theater management has agreed to reduce the price of each adult ticket by $0.50 for every can of pet food a customer contributes to a collection barrel in the theater lobby. Which of the following shows an equation in which y represents the cost of an adult ticket in dollars for a customer who contributes x cans of pet food?A. y=8.5−0.50 x C. y=8.5+0.50 xB. y=9 x−0.5 D. y=−9 x−0.5 x

18. A student solved the inequality xy+5≤ w−2 for x as shown below. Is the student correct? Explain.

xy+5≤ w−2 xy+5−5≤ w−2−5

xyy

≤ w−7y

x≤ w−7y

A. Yes, the solution is correct if y is a negative integer.B. Yes, the solution is correct if y is a positive integer.C. No, the solution is incorrect because the inequality sign should

be reversed for all division steps.

D. No, the solution is incorrect because the inequality sign should be

reversed when 5 is subtracted.

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Instructional Materials Algebra 1 – S1 2012-201319. Let n=1, the equation a=1

2n+5 forms a sequence of numbers. Which

set of numbers represents the first four numbers in the pattern?A. 1 ,2 ,34 C. 5 1

2,6 ,6 1

2,7

B. 1 ,5 12

,4 ,7 D. 12

,5 12

,6 ,7

20. Jill is stacking blocks to build a tower. The chart shows the number of blocks in each level of the tower. Which rule describes the linear rela-tionship between the number of blocks in any level of my tower?

A. n=−5a+40B. n=−5a+45C. n=5a+40D. n=5a−45

21. The linear function that describes the amount of money that is in my savings account is represented by f (d )=5d+20, where f ( d ) is the amount of money in my account and d is the amount of a deposit. Which of the following best describes the domain?

A. Amount of depositB. Amount of money in my accountC. 5dD. f (d )

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Level (a) Number of Blocks (n)

1 4023 3045 20..x ?

Instructional Materials Algebra 1 – S1 2012-201322. Keisha made the linear equation y=−250x+1000to show the total num-ber of minutes ( y )remaining on her cell phone plan as time passes in weeks ( x ). What is the meaning of the x-intercept and the y-intercept?

A. x-intercept: at two weeks there are no minutes remaining on her plan

y-intercept: at zero weeks there are 100 minutes on her planB. x-intercept: at four weeks there are no minutes remaining on

her plany-intercept: at zero weeks there are 1000 minutes on her plan

C. x-intercept: at four weeks there are 1000 minutes remaining on her plan

y-intercept: at zero weeks there are 0 minutes on her planD. x-intercept: at zero weeks there are 1000 minutes remaining on

her plan y-intercept: at four weeks there are no minutes on her plan

23. Given the graph and the equation, which line has a larger slope?

A. The graph has a larger value for slope B. The equation has a larger value for slope C. The graph and the equation have the same slope D. The equation has no slope

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x

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0

Graph Equation

3 x− y=12

Hours Ridden1 2 3 4 5

10

20

30

40

50

Cost

in D

olla

rsx

y

Instructional Materials Algebra 1 – S1 2012-2013

24. A line graphed on the coordinate plane has a slope of 2 and contains the point (3 ,4 ) . Which of the following points is on the same line?

A. (2 ,3)B. (1 ,1)C. (0 ,−3)D. (−1 ,−4)

25. The graph for a stable that charges a $20 flat fee plus $10 per hour for horseback riding is shown below. Which statement below describes the slope of the line?

A. The slope describes the rate of change, for every $10 cost in-crease you receive five more hours of horseback riding.

B. The slope describes the rate of change, for every $10 cost in-crease you receive one more hour of horseback riding.

C. The slope describes the rate of change, for every $20 cost in-crease you receive one more hour of horseback riding.

D. The slope describes the rate of change, for every $50 cost in-crease you receive four more hours of horseback riding.

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0x

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0x

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Instructional Materials Algebra 1 – S1 2012-201326. A student graphed the line 6 x+ y=8 . If she substitutes the number3 in

for the number 8in the equation, how will the graph of the line change?A. The graph of the line will shift up five.B. The graph of the line will shift down five.C. The graph of the line will rise less steeply.D. The graph of the line will rise more steeply.

27. A student graphed the line 4 x− y=2 . If he substitutes the number6 in for the number 4in the equation, how will the graph of the line change?A. The graph of the line will shift up five.B. The graph of the line will shift down five.C. The graph of the line will rise less steeply.D. The graph of the line will rise more steeply.

28. Which is the graph of f ( x )=2x−3?

A. C.

B. D.

29. Which is the graph of 5 x−4 y=20 ?

A. C.

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Instructional Materials Algebra 1 – S1 2012-2013

B. D.

30. Which is the graph of y<3 x+4?

A. C.

B. D.

31. Which is the graph of 2 x+5 y ≥10 ?A. C.

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x

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x

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x

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x

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# of texts

Cost

30

29

28

27

25

26

10 20 30 40 50 60 # of texts

Cost

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1 2 3 4 5 6

Instructional Materials Algebra 1 – S1 2012-2013

B. D.

32. Sally wants to buy her friend a bouquet for his birthday. She wants it to contain both carnations and roses. She has $28.50 to spend. Carna-tions cost $1.50 each and roses cost $2.50 each. Which graph below represents the possible combinations of numbers of carnations and roses Sally can afford to buy?A. C.

B. D.

33. Jim bought a cell phone that will cost him $25.00 per month plus $1.00 for every ten texts. Graph the model of the cost of the cell phone.A. C.

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x

y

20

20

2

2Carnations

Roses

20

20

2

2Carnations

Roses

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2

2Carnations

Roses

20

20

2

2Carnations

Roses

1 2 3 4 5 6

# of texts

Cost

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# of texts

Cost

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Instructional Materials Algebra 1 – S1 2012-2013

B. D.

34. Which equation of the line has a slope of 3 and passes through the point (−4 ,−3 ) ?A. y=−3x+9

B. y=−3x−15

C. y=3 x−15

D. y=3 x+9

35. Which equation of the line that passes through the points (2 ,5 ) and (−1 ,8 ) ?

A. x+ y=7

B. 2 x+5 y=29

C. x+2 y=12

D. x+2 y=15

36. Which equation of the line passes through (6 ,−8 ) and is parallel to the graph for the linear equation y=2x+3?A. y=2x−20 C. y=2x−14

B. y=2x−4 D. y=−12

x−5

37. Which equation of the line that passes through (−3 ,4 )and is perpendicular to the graph for the linear equation y=−1

3x+5 ?

A. y=−13

x+3 C. y=3 x+7

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80

204060

y

x

Instructional Materials Algebra 1 – S1 2012-2013

B. y=13

x+7 D. y=3 x+13

38. Which correlation best describes the scatter plot below?

A. Positive

B. Negative

C. Continuous

D. None

39. Which linear equation approximates the best fit to the data?A. y=−2x+85

B. y=−5x+100

C. y=−x+40

D. y=−0.25x+70

40. The graph of a system of linear equations is shown below. What is the solution of the system?

A. (0,3)B. (0,6)C. (2,4)D. (6,0)

41. The graph and a table of values are given to represent two linear equa-tions in a system of equations. Which of the following is the solution to the system?

Graph of Equation #1 Table for Equation #2

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Instructional Materials Algebra 1 – S1 2012-2013

x

y

x y3 −21 20 4

−1 6

A. (2 ,0) C. (−1 ,−5)B. (0 ,−3) D. (−2 ,−6)

42. Which equation would make this system have an infinite number of solutions? ¿

A. 2 y=2 x+4 C. y=2xB. y−x=3 D. y=3 x−1

43. The equation and a table of values are given to represent two linear equations in a system of equations. Which of the following is the solu-tion to the system?

A. (0 ,1)B. (−2 ,2)C. infinite

number of solutions

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Equation #1 Table for Equation #2

y=−3x−4

x y−1 41 −22 −5

Instructional Materials Algebra 1 – S1 2012-2013

D. no solution

44. Which x-coordinate is in the solution to the system of equations?

{ y=2 x+73x−2 y=12

A. x=−26 C. x=13B. x=2 D. x=26

45. Which y-coordinate is in the solution to the system of equations?

{y=0.5 x+2− y=3−x

A. y=5 C. y=7B. y=8 D. y=14

46. The cost of 3large candles and 5 small candles is $6.40. The cost of 4 large candles and 6 small candles is $7.50. Which pair of equations can be used to determine the cost of a large candle (t) and the cost of a small candle (s) ?

A. {3 t+5 s=6.44 t +6 s=7.5 C. {3 t+5 s=6.4

t+s=7.5

B. { t+s=6.44 t +6 s=7.5 D. {5 t+3 s=6.4

6 t+4 s=7.5

47. The admission fee of a theater is $5.00 for adults and $2.00 for children. On a certain day, 300people went to the theater for a concert and $900 was collected. Determine how many adults attended the concert?

A. 50 adults C. 150 adultsB. 100 adults D. 200 adults

48. There are 12 coins in a purse that consist of quarters and dimes. The value of these coins is $2.25. How many quarters and how many

dimes are in the purse?A. 5quarters, 7 dimes C. 12 quartersB. 7 quarters, 5dimes D. 10 dimes, 2quarters

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Instructional Materials Algebra 1 – S1 2012-2013

49. Which graph shows all solutions to the system of inequalities?

{4 x−8 y ≤162 x+5 y<10

A. C.

B. D.

50. Which system of inequalities represents the solution?

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Instructional Materials Algebra 1 – S1 2012-2013

A. {y≥−32

x+1

y< 12

x−72

B. { y← 32

x+1

y≥ 12

x−72

C. {3x+2 y>2x−2 y>7

D. {3x+2 y ≥2x−2 y>7

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Instructional Materials Algebra 1 – S1Key 2012-2013

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