Free Printable Accelerated 7 Final

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Accelerated 7 Final

Total questions: 100

Worksheet time: 5hrs 11mins

Name

Class

Date

Janice needs at least 125 to buy a new bike. She already has 35 and plans to save $10 every week. If w represents the number of weeks Janice saves money, which inequality represents how many weeks it will take her to save enough money to buy a bike?

w ≥ 9

w ≤ 9

w > 9

w < 9

A caterpillar moves across the grass at a rate of 4 2/3 feet every 7 minutes. How fast does the caterpillar move in feet per minute?

4/7

2/3

11/14

17/21

If the engineer used the scale 3/4 inch = 40 feet, how long is the actual bridge the engineer designed?

A) 180 feet

B) 240 feet

C) 320 feet

D) 460 feet

Jacoby’s average for the first two games of a bowling tournament was 125. In order to win an award, his final average for all three games must be 10% higher than the average of his first two games. Which score can Jacoby bowl in his third game and still win an award?

100

125

165

135

What is the value of the expression -4 + (-11)?

-15

-7

Triangle ABC is drawn on the coordinate plane with A(2, 2), B(5, 2), and C(2, 6). The triangle is translated down 5 units and to the right 1 unit to form triangle A'B'C'. What is the length of A'C'?

A rectangle has a length of 3x + 2 and a width of 2x. Which expression represents the perimeter of the rectangle?

5x + 2

6x + 2

6x + 4

10x + 4

The angle formed by two spokes meeting at the center of a bicycle wheel is 30°. After the wheel rotates 540°, what will be the angle formed by the two spokes?

18°

30°

45°

54°

Which situation has quantities that combine to make zero?

A) A dog buried 3 bones in the front yard and 3 bones in the backyard.

B) Keisha spent $5 on lunch and thenspent $5 on a new book.

C) A penguin swam 6 feet down in the water and then swam 6 feet back up.

D) Sam served his guests 4 pounds of chips and 4 pounds of dip.

10.

What does the point (1, 1.5) represent?

She uses 1.5 cans of red paint for each can of blue paint.

She uses 1.5 cans of blue paint for each can of red paint.

She uses 1.5 cans of red paint for every 1.5 cans of blue paint.

She uses 1 can of blue paint for each can of red paint.

11.

Tyler’s game piece landed on space 30 while playing a board game. On his next turn, he moved his piece 17 spaces backward. Which expression can be used to find which space Tyler’s piece was on after his turn?

17 – 30

30 + 17

(–17) – 30

30 + (–17)

12.

An employee at a factory is paid $9.25 per hour plus an$ 8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

$17.25

$13.64

$13.47

$12.13

13.

Which set of transformations is needed to help determine whether parallelogram KLMN is congruent to parallelogram PQRS?

a rotation 180 degrees about the origin

a reflection across the y-axis and then a translation 10 units up

a reflection across the x-axis and then a translation 10 units to the right

a reflection across the x-axis and then a rotation 90 degrees clockwise about the origin

14.

Four painting companies listed the prices they charge for their services given a certain number of hours worked. Which table represents a proportional relationship between the number of hours worked and the price the company charges?

A) Prime Painters

B) We Paint For You

C) Painting Pals

D) Paint It Right

15.

Stuart planted a shrub that was 64 centimeters tall. He measured the shrub regularly and found that it grew 1.8 centimeters each week. How many weeks after Stuart planted the shrub was its height 76.6 centimeters?

16.

The measurements of two sides of a triangle are 4 cm and 20 cm. What could be a measurement of the third side of the triangle?

12 cm

15 cm

22 cm

25 cm

17.

The number line below shows the temperature in Chicago this morning. By noon, the temperature was 15°F colder. Which equation can be used to find the temperature at noon in Chicago?

-5 + 15 = 10

-5 - 15 = -20

5 + 15 = 20

5 - 15 = -10

18.

A rectangle is shown. Which graph shows the image for a dilation with a scale factor of 2 centered at the origin?

(Refer to graph A)

(Refer to graph B)

(Refer to graph C)

(Refer to graph D)

19.

What is the product of -4 and 2 3/5?

-10 2/5

-9 3/5

9 3/5

10 2/5

20.

Two lines are translated to the right 8 units and then rotated 270° clockwise. The result of their transformation is shown on the graph. Which statement is true about the original lines before they were transformed?

They were skew.

They were parallel to each other.

They were perpendicular to each other.

They intersected each other, but they were not perpendicular.

21.

What is the value of x in the equation below? 3(x + 2) - 4(2 - x) = -2 + 7x

x = 0

x = 1

There is no solution.

There are infinitely many solutions.

22.

Which point represents the constant of proportionality in the graph below?

(1, 3)

(1, 6)

(3, 0)

(3, 1)

23.

For every performance, Jim’s band charges a $35 setup fee plus $20 for each hour they play. They charged $120 for their last performance. For how many hours did Jim’s band play?

4 hours

4 1/4 hours

6 hours

7 3/4 hours

24.

A baker used 33 3/4 cups of flour to make 15 batches of cookies. How many more cups of flour does the baker need if she wants to make 21 batches of cookies?

14 1/4

13 1/2

12 3/4

11 3/4

25.

If a figure drawn on the coordinate plane is dilated by a scale factor of 3 and then translated 6 units down, what will be the relationship of the original figure to the transformed figure?

congruent and similar

congruent, but not similar

similar, but not congruent

neither similar nor congruent

26.

Karla is doing a study to see what the town thinks of the new grocery store. She chooses a convenience sample. She

asks 13 people from the town who go to the new grocery store. Is there bias in her sample?

Yes

27.

A school randomly chose ten English teachers and asked them which type of juice their students would prefer. Which reason best shows why this sample is biased?

The sample didn't include students.

The sample is too small.

The sample can only be accurate if each teacher is included in the sample

English teachers don't drink juice!

28.

What is the scale factor in the algebraic representation
(x,y) to (2x,2y)

k=2

k=1/2

k=2.2

k=0.5

29.

When you translate, (x,y+6) will move _____.

6 units right

6 units left

6 units up

6 units down

30.

Point (7,2) is translated vertically 2 units and horizontally -5 units. Where is the new point located?

(9,-3)

(2,4)

(2,0)

12,4)

31.

Estimate $\sqrt[]{24}$ to the nearest TENTH.

4.5

4.9

5.1

4.2

32.

Estimate $\sqrt[]{106}$ to the nearest TENTH.

10.6

10.9

10.3

33.

A square place mat has an area of 169 square inches. What is the closest measurement for Sally to know how long each side of the mat is?

(a)

34.

You are going to decorate one wall of your bedroom by putting border along the top. The wall is a square wall with an area of 256 square feet. What is the length of border you need for the top of this on wall?

(a)

35.

What happens to the area of a figure when it is dilated by a scale factor k?

4 lines

36.

An architect was hired to construct a den in the shape of a square. If the client wanted to double the length of each side of the square, how would the new area of the room compare with the area of the original room?

The areas would be exactly the same.

The new area would be twice the original area.

The new area would be four times the original area.

The new area would be eight times the original area.

37.

Between what 2 whole numbers is $\sqrt{6}$ ?

1 and 2

2 and 3

3 and 4

4 and 5

38.

pi - 3.141592....

Rational

Irrational

39.

Find the slope of the line through each pair of points.

40.

Find the slope given these points:

(-2,-3) & (2,3)

3/2

undefined

-3/2

41.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

y = -4x + 2

y = -2x + 4

y = 4x + 2

y = 2x + 4

42.

What is the equation by looking at this graph?

y= x + 3

y= -x + 2

y= 2x + 2

y= x + 2

43.

Convert the standard form equation into slope-intercept form.
5x - 4y = -20

y = (5/4)x + 5

y = -5x - 4

x = 20

y = 27, 239, 430

44.

Are the triangles similar?

Yes

45.

Which triangles are similar to triangle A?

Both

None

46.

Which of the following angles can you add together to equal angle d?

Angle a and Angle b

Angle b and Angle c

Angle a and Angle c

Angle a and Angle b and Angle c

47.

What is the measure of angle b?

36^o

56^o

63^o

117^o

48.

Find the Mean Absolute Deviation: 5, 11, 2, 7, 16. The Mean is 8.2

3.2

2.8

1.2

4.2

49.

An amusement park recorded the ages of the first ten people to ride a new attraction. The ages were as follows: 11, 34, 16, 18, 22, 30, 18, 20, 15, and 16. What is the mean absolute deviation of this data set?

5.2

4.8

50.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

3 x 10¹⁰

3 x 10⁴

3 x 10^-4

3 x 10^-11

51.

Solve:
(6 x 10⁶) / (2 x 10³)

12 x 10³

3 x 10⁹

1.2 x 10⁴

3 x 10³

52.

A microgram is equal to 1 x 10 ^-6grams. How many times greater than a microgram is 1 x 10²grams?

1 x 10^-8

1 x 10^-4

1 x 10⁴

1 x 10⁸

53.

Which of the following sentences would belong in the proof that describes this image?

The sum of the areas of the two smaller squares is equal to the area of the large square.

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

The difference of the areas of the two smaller squares is equal to the area of the large square.

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

54.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

2 to 5

2 to 3

5 to 2

3 to 5

55.

Billy Bob just bought a new car. His car costs $75,000. How much money will he pay in taxes for the car if the sales tax is 6%?

1000

2000

4000

4500

56.

The ratio of brownies to cookies is 3:5. If there are 75 cookies, how many brownies are there?

57.

Adrian spun a spinner with 5 equal sections 85 times. Each section of the spinner was a different color. One of the colors was blue. The outcome of "blue" occurred 20 times.

Compare the experimental & theoretical probabilities

The theoretical probability is a lot greater than the experimental probability.

The theoretical probability is a little bit greater than the experimental probability.

The theoretical probability is the same as the experimental probability.

The theoretical probability is a little bit less than the experimental probability.

The theoretical probability is a lot less than the experimental probability.

58.

What cross-section is formed by slicing through a cube perpendicular to any face?

rectangle

square

parallelogram

triangle

59.

A cylinder is cut parallel to the base. What is the shape of the cross-section formed?

Circle

Rectangle

Triangle

Trapezoid

60.

What shape does this cross section make?

Rectangle

Circle

Triangle

Square

61.

Name this 3D figure.

triangular prism

triangular cone

triangular pyramid

rectangular prism

62.

Which number line models the expression $-\frac{2}{5}+\frac{4}{5}$

63.

Find the circumference of the circle.

38.47 cm

10.99 cm

43.96 cm

21.98 cm

64.

What is the circumference?

56.52

108

113.04

65.

$\frac{r^3s^6}{r^2s^2}$

$rs^4$

$r^2s^2$

$r^3s$

$r^4s^2$

66.

$\frac{10x^3}{2x^4}$

$5x^{-1}\ =\ \frac{5}{x}$

$5x^{12}$

$5x^3$

$5x^7$

67.

3.) Simplify
(45x⁶y⁹) / (5x⁴y²)

(9x²)/y⁷

40x²y⁷

9x²y⁷

9x¹⁰y¹¹

68.

Simplify: 54y¹⁰÷ 6y⁵

⁹y¹⁵

y⁵⁰

9y²

9y⁵

69.

A square playground has an area of 100 square feet. What is the length of the diagonal measurement of the playground?

14.1 feet

4.5 feet

141.4 feet

70.

Find h

35.60

35.00

35.71

61.03

71.

Which class has the higher test score median?

Class #1

Class # 2

The medians are equal

The median is not shown here.

72.

Which class was more consistent in their Algebra Scores?

Class #2

Class #1

Both classes had the same consistency.

50%

73.

The double line plot shows the number of students who attended the home games of the baseball team for two recent seasons. Which of the following statements is NOT true.

The attendance for 2009 was more varied so the MAD would be larger than the MAD for 2010.

The attendance for 2010 was more consistent, so the MAD would be smaller than the MAD for 2009.

The attendance for 2009 had outliers.

The attendance for 2010 ranged from 20-27.

74.

Which mean absolute deviation would have a greater variability or spread? 4.2 or 8.5?

4.2

8.5

75.

It is a measure of variability that you get when you subtract the smallest number in a set of data from the largest number.

mean

median

mode

range

76.

Is this table proportional?

Yes

77.

Determine if each table is either proportional or not proportional.

Categorize the following

Proportional

Not Proportional

78.

The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above. Which equation best models this data.

c = .29p

c = 3.5p

p = .29c

p = 3.5c

79.

These figures are similar. Solve for x.

80.

Is the given table a proportional relationship? If so, write an equation that relates y to x.

Yes; y=1/3x

Yes; y=3x

Yes; y=5x

81.

Select all the proportional equations.

y = 3x

j = ^-1/₂ h

d = 19 - 0.25c

a = x - 2

2.5f = g

82.

Find the distance.

6.3

6.5

6.7

83.

Find the distance between points A and B.

7.3

7.2

84.

Ryan has 4 rap songs, 11 pop songs, 8 country songs, and 2 rock songs. What is the probability of Ryan picking a rock song or a pop song?

2/25

13/25

11/25

22/25

85.

Suppose there are 200 students in the cafeteria during lunch. How many students would you expect to choose pizza as their favorite cafeteria food?

104

86.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a dime or penny?

Certain

Likely

50/50

Unlikely

Impossilbe

87.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a dollar bill?

Certain

Likely

50/50

Unlikely

Impossilbe

88.

What are the chances of picking a pink cube?

89.

Give the sum of (2.6 x 10⁶) + (4.2 x 10⁶)

6.8 x 10⁶

6.8 x 10¹²

8.4 x 10⁶

3.2 x 10¹²

90.

Give the sum of (8.7 x 10⁵) + (7.32 x 10⁷) in scientific notation

16.02 x 10⁷

7.407 x 10⁵

7.407 x 10⁷

1.602 x 10⁷

91.

Write the answer in scientific notation.
4.1 x 10⁵ + 5.5 x 10⁶ =

5.91 x 10⁶

9.6 x 10⁵

9.6 x 10¹¹

4.65 x 10⁵

92.

−7.34 − (−5.51)

1.93

-1.83

-12.85

12.85

93.

Which real world context could be represented by -2 + 1 + 3?

A baby's weight decreased by two pounds, increased by one pound, and then increased by three pounds.

A share of stock decreased by two points, decreased by one point, then increased by three points.

The temperature increased by two degrees, increased by one degree, and then increased by three degrees.

A bank statement shows a withdrawal of two dollars, a withdrawal of one dollar, and a deposit of three dollars.

94.

After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza?

26 guests

28 guests

8 guests

33 guests

95.

What is the sum of 4 3/10 and (-6.2)? Express your answer as a decimal.

96.

Sammy has 2 ²/₃ Hershey bars to share with 4 of her friends. How much of a Hershey bar will each of her 4 friends receive?

¹/₃ Hershey bar each

⁵/₃ Hershey bar each

²/₃ Hershey bar each

1³/₄ Hershey bar each

97.

The air temperature in the North Pole in the morning was 3 degrees Celsius. By 10:00am the temperature dropped 12 degrees. By noon the temperature had gone up 5 degrees. At 3:00pm the temperature went up 9 degrees. By nightfall the temperature had dropped 16 more degrees. What was the temperature at the North Pole at nightfall?

11 degrees

0 degrees

-11 degrees

-9 degrees

98.

Find the volume to the nearest tenth using 3.14 instead of Pi.

282.6 in³

94.2 in³

235.5 in³

78.5 in³

99.

A vase contains 16 roses, 10 carnations, and 14 daisies. What is the ratio of carnations to daisies in lowest terms

10:14

5 to 7

14:10

14:16

100.

A smoothie shop sold three kinds of smoothies on Tuesday.

The ratio of strawberry to mango smoothies sold was 3:5.
The ratio of mango to pineapple smoothies sold was 2:1.
If 40 mango smoothies were sold on Tuesday, how many more strawberry smoothies than pineapple smoothies did the shop sell?

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Accelerated 7 Final

Total questions: 100

Worksheet time: 5hrs 11mins

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