1Select the equation that represents the graph of the line below.

Full text

(1)

1 Select the equation that represents the graph of the line below.

A. y = x – 1 B.

y =

1 2

x – 1

C.

y =

1 2

x + 2

D. y = x + 2

2 A system of two linear equations is shown below.

5x + 2y = –4 5x + 2y = 1

Which statement is true regarding the solution to this system of linear equations?

A. The system has no solution.

B. The system has one unique solution at (5, 2).

C. The system has one unique solution at (–4, 1).

D. The system has an infinite number of solutions.

3 What is the product of (8.8 × 10

6

)(5 × 10

2

)?

A. 4.4 × 10

8

B. 4.4 × 10

9

C. 4.4 × 10

12

D. 4.4 × 10

10

(2)

4 The graph below will allow you to determine the solution to which of these systems of linear equations?

A. –2x + y = –2 –x + y = –4

B. –2x + y = 2 –x + y = 4

C. 2x + y = –2 x + y = –4

D. 2x + y = 2

x + y = 4

5 Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. Which of these statements is correct?

A. Carrots cost $1.50 a pound, which is less than potatoes cost.

B. Carrots cost $1.50 a pound, which is more than potatoes cost.

C. Carrots cost $1.75 a pound, which is less than potatoes cost.

D. Carrots cost $1.75 a pound, which is more than potatoes cost.

6 Which of these systems of equations has an infinite number of solutions?

A. –6c + 11d = 20 –6c + 11d = 20

B. –6c + 11d = 20 –5c + 8d = 22

C. –6c + 11d = 22 –5c + 8d = 22

D. –5c + 8d = 20 –5c + 8d = 22

7 Is √ 15 located between points M and N on the number line below?

A. No, because it is not greater than 3 and less than 4.

B. No, because it is not greater than 9 and less than 16.

C. Yes, because it is greater than 3 and less than 4.

D. Yes, because it is greater than 9 and less than 16.

(3)

8 Travis converted some repeating decimals into fractions as follows. Based upon what he has seen so far, which of the following equations must be correct?

A.

0.9 =

8 9

B.

0.9 =

8 9

C. 0.9 = 1 D. 0.9 = 1

9 The diameter of a speck of dust is about 0.00002 in.

Which of these is an appropriate estimate for the diameter of the speck of dust?

A. 2 × 10

–5

in.

B. 2 × 10

–4

in.

C. 2 × 10

4

in.

D. 2 × 10

5

in.

10 Which of these equations has no solutions?

A. –10 + 8x – 7x + 10 = x + 6 – x – 6

B. 21 – 9 + 4x – 5x = 8x – 7x + 4 + 6

C. x – 4 + 1 – 7x = –8x + 4 + 2x – 7

D. 3x + 5 – 10x + 8 = x – 8x – 16 – 3

11 Why does the equation

9 – 2x – 9 – 16x = –14x – 7 – 4x – 11 have no solutions?

A. because if you add 18x to both sides of the equation and simplify, you get –18 = –18

B. because if you add 18x to both sides of the equation and simplify, you get 0 = –18

C. because if you subtract 18x from both sides of the equation and simplify, you get –18 = –18

D. because if you subtract 18x from both sides of the equation

and simplify, you get 0 = –18

(4)

12 A weightlifter is using a weightlifting bar that weighs 45 pounds. If x represents the amount of weight that the weightlifter puts on the bar and y represents the total amount that the weightlifter lifts, with the weight of the bar included, which of these functions models this situation, and why?

A. y = x – 45, because the rate of change of the function should be –45 and the initial value should be 1

B. y = x – 45, because the rate of change of the function should be 1 and the initial value should be –45

C. y = x + 45, because the rate of change of the function should be 1 and the initial value should be 45

D. y = x + 45, because the rate of change of the function should be 45 and the initial value should be 1

13 Natasha got a raise on her hourly wage, and the graph below shows the amount of money she has made this year since her rate of pay was increased. Which of these statements must be correct based on the graph?

A. Before her raise, Natasha made $12.50 an hour.

B. Before her raise, Natasha made $25.00 an hour.

C. After her raise, Natasha makes $12.50 an hour.

D. After her raise, Natasha makes $25.00 an hour.

14 A movie distributor found that the relationship between the amount it spends on advertisements for a particular movie and the amount of money the movie takes in can be modeled by the equation y = 1.2x + 24, where x is the amount spent on advertisements in millions of dollars and y is the amount taken in by the movie in millions of dollars. According to the model, how much should the movie distributor spend on advertisements if it wants the movie to take in $36,000,000?

A. $10,000,000

B. $20,000,000

C. $30,000,000

D. $50,000,000

15 A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second. For which of these functions does

y represent the altitude of the hot air balloon if x

represents the number of seconds since the pilot started her landing?

A. y = –2x – 300

B. y = –2x + 300

C. y = 2x – 300

D. y = 2x + 300

16 The table of values below shows the amount of water in a watering can and the weight of the can. Based on this information, how much does a gallon of water weigh?

Amount of Water in Can (gallons) Weight of Cans (pounds)

0 2

0.5 6.2

1 10.4

1.5 14.6

2 18.8

A. 4.2 pounds

B. 6.2 pounds

C. 8.4 pounds

(5)

17 Which of these functions has a greater rate of change than the function graphed below, and why?

A. y = 2x + 12, because the rate of change of the graphed function is 3

B. y = 2x + 12, because the rate of change of the graphed function is 9

C. y = 10x + 1, because the rate of change of the graphed function is 3

D. y = 10x + 1, because the rate of change of the graphed function is 9

18 Olivia added the linear equations –4x + 9y = 19 and 5x – 9y = –17 together and got x = 2. She then

substituted the value of x back into one of the equations and simplified to get y = 3. How many solutions are there to the system of equations?

A. 0 B. 1 C. 2 D. 3

19 Suppose that a number written as a decimal has an infinite number of non–repeating digits after the decimal point. What is this number called?

A. irrational B. natural C. rational D. unnatural

20 What is the distance between the points (10, 12) and (–4, –36)?

A. 14 units B. 22 units C. 48 units D. 50 units

21 Which relation is a not function?

A. {(2, 3), (4, 5), (10, 12), (15, 16)}

B. {(-5, 20), (6, 13), (8, 20), (11, 8)}

C. {(0, 8), (0, -4), (7, 4), (12, 1)}

D.

{(4,

1 4

), (9,

1 9

), (17,

1 17

), (18,

1 18

)}

22 Which equation is equivalent to 3 + 5(x + 2) = 12?

A. 8x + 16 = 12

B. 8x + 2 = 12

C. 5x + 5 = 12

D. 5x + 13 = 12

23 Which value of x will make this expression true?

7

5

• 7

x

= 7

15

A. 3

B. 4

C. 10

D. 20

(6)

24 Which scatterplot shows a positive correlation?

A.

B.

C.

D.

25 Simplify:

(4x

2

y)(4x

2

y)

A. 8x

4

y

B. 8x

4

y

2

C. 16x

4

y

D. 16x

4

y

2

26 Matthew must solve the following question on a quiz.

Leah has 4 times as many nickels as she has dimes. All together, her nickels and dimes have a value of $1.20.

How many of each coin does she have?

Which of the following systems of equations can he use to answer this question if n represents the number of nickels and d represents the number of dimes?

A. n = 4d

n + d = 120

B. d = 4n

n + d = 120

C. n = 4d

5n + 10d = 120

D. d = 4n

5n + 10d = 120

(7)

27 Rick is using the substitution method to solve the system.

5x – 2y = –11 x + 3y = 20

Which of the following equations can he create from this system?

A. 5x – 2y = x + 3y

B. 5x – 2(20 – x) = –11

C. 5(20 – 3y) – 2y = –11

D. 20 – 3y – 2y = –11

28 Evaluate:

5

0

• 5

2

A. 0 B. 10 C. 25 D. 625

29 Which of the following has the GREATEST value?

A. 2

–3

B. 3

–2

C.

1

2–3

D.

1

3–2

30 Which pair of lines will intersect at the origin?

A. y = 2

y = 3

B. y = 2x

y = 3x

C. x = 2

y = 3

D. None of these systems represent lines that intersect at the origin.

31 Simplify the expression:

–4(3x + 2y) + 6(–2x – 5y)

A. –62xy B. –24x – 3y C. –24x + 13y D. –24x – 38y

32 Which set of ordered pairs below is a function?

I. {(3 , 3), (6 , 1), (2 , 3)}

II. {(4 , 7), (2 , 8), (4 , 2)}

III. {(9 , 6), (3 , 1), (7 , 3)}

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

33 How could you convert 0.123 into a fraction?

A. Subtract the equation x = 0.123 from the equation 100x = 12.3 and solve for x.

B. Subtract the equation x = 0.123 from the equation 1000x = 123.3 and solve for x.

C. Subtract the equation 10x = 1.23 from the equation 100x = 12.3 and solve for x.

D. Subtract the equation 100x = 12.3 from the equation 1000x

= AD 123.3 and solve for x.

34 Which of these cylinders has a height that is equal to the length of its radius?

A. A cylinder with a volume of 16 π in

3

and a height of 2 in.

B. A cylinder with a volume of 27 π in

3

and a height of 3 in.

C. A cylinder with a volume of 34 π in

3

and a height of 8 in.

D. A cylinder with a volume of 72 π in

3

and a height of 6 in.

(8)

35 The volume of a cone with a height of 6 cm is 18 π cm

3

. If the cone's radius increases by 3 cm, by how much will the cone's volume increase?

A. by 9 π cm

3

B. by 27 π cm

3

C. by 54 π cm

3

D. by 72 π cm

3

36 Suppose a pentagon graphed on a coordinate plane will undergo a dilation. Which of these is a true statement?

A. The resulting pentagon will be similar to the original pentagon only if the center of the dilation is the origin.

B. The resulting pentagon will be similar to the original pentagon only if the center of the dilation is a vertex of the original pentagon.

C. The resulting pentagon will be similar to the original pentagon regardless of the center of the dilation.

D. The resulting pentagon will not be similar to the original pentagon regardless of the center of the dilation.

37 Simplify:

54 • 8–6 • 9–12 5–2 • 83 • 9–4

A.

52

83 • 916

B.

93

52 • 82

C.

56

89 • 98

D.

58 818 • 93

38 Which pair of equations would represent lines that are PERPENDICULAR to each other?

I. 3x – 2y = 12 II. 3x + 2y = –12 III. 2x – 3y = –12

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

D. None of these lines are perpendicular to each other.

(9)

39 Look at Triangle QRS and Triangle Q'R'S' on the coordinate plane.

Which transformation performed on Triangle QRS will produce the image of Triangle Q'R'S'?

A. a translation of 6 units to the right

B. a clockwise rotation of 90 degrees about the origin

C. a reflection over the x–axis

D. a reflection over the y–axis

40 Which of the following graphs represents a proportional relationship?

A.

B.

C.

D.

Figure

Updating...

References

Updating...

Related subjects :