Free Printable Pre-iReady EOY Diagnostic 5/28/24

1.

Simplify $5^8$ x $5^{-3}$

a)

$5^5$

b)

$5^{-24}$

c)

$5^{11}$

d)

$25^5$

2.

Solve the system 2x + 5y = 1

3x + 7y = 2

a)

(-1, 3)

b)

(3, -1)

c)

(-3, 1)

d)

(-1, -3)

3.

0.0000713 converted to scientific notation is

a)

7.13 x 10^-4

b)

7.13 x 10^-5

c)

7.13 x 10⁴

d)

7.13 x 10⁵

4.

At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase. The store charges $30 as a rental fee plus $8.25 per hour to rent a truck. Which equation represents this situation?

a)

y = 30x + 8.25

b)

y = 8.25x - 30

c)

y = 8.25x + 30

d)

y = 30x - 8.25

5.

A linear function includes the ordered pairs (2, 5) (6, 7) and (k, 11). What is the value of k?

a)

8

b)

12

c)

10

d)

14

6.

What is the Constant of Proportionality (Slope)?

a)

k=46

b)

k=92

c)

k=0.2

d)

not proportional

7.

If your scale factor is greater than 1, your new shape will be ______.

a)

Bigger

b)

Smaller

c)

The same size

d)

Rotated

8.

Which pair of points has a slope of -4?

a)

(2, 6) and (0, -2)

b)

(2, -6) and (0, 2)

c)

(2, 6) and (0, 2)

d)

(-2, -6) and (0, -2)

9.

Which expression represents a negative number?

a)

5 − (-6)

b)

-12 ÷ -6

c)

(-3)³

d)

(-2)×(-4)

10.

What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

11.

Which expression is equivalent to –15x + 6?

a)

–3(5x – 2)

b)

–3(5x + 6)

c)

3(-5x – 2)

d)

3(5x + 6)

12.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

8x + 6

d)

9 + 7x

13.

Solve: $4v-2v+8=2\left(2v+6\right)$

a)

v = 2

b)

v = 4

c)

v = -2

d)

v = -3

14.

Is this a function?

a)

Yes

b)

No

15.

Solve: $4\left(x+5\right)-6=2\left(2x+7\right)$

a)

-4

b)

No Solution

c)

Infinite Solutions

d)

4

16.

Describe this relation.

a)

Function; Linear

b)

Not a function

c)

Function; Not linear

17.

a)

A

b)

B

c)

C

d)

D

18.

Which graph does NOT illustrate a Function?

a)

A

b)

B

c)

C

d)

D

19.

What is the solution to the following inequality?

a)

x < 5/9

b)

x < 5

c)

x < 1

d)

x > 1

20.

Convert 4/5 to a percent.

a)

45%

b)

4.5%

c)

80%

d)

8%

21.

6.8% as a decimal is ______________.

a)

6.8

b)

680

c)

0.068

d)

0.68

22.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

23.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

24.

During the end of the year sale, all items are discounted 20%. If a shirt has a price tag of $30 and a pair of jeans has a price tag of $40, how much will they cost during the sale?

a)

$14

b)

$50

c)

$54

d)

$56

e)

$62

25.

Last year tickets to Disney World were $120.

Now the tickets are $150.

What is the percent of change?

a)

30%

b)

20%

c)

25%

d)

50%

26.

A transformation in which a shape is made larger or smaller is ...

a)

Reflection

b)

Reduction

c)

Dilation

d)

Enlargement

27.

Describe the rigid motion used on the red shape to match the blue shape

a)

Rotate the red shape 90 degrees counterclockwise then translate it 6 units to the left

b)

Rotate the red shape 180 degrees clockwise

c)

Rotate the red shape 90 degrees clockwise then translate it 4 units up

d)

Rotate the red shape 90 degrees clockwise then translate it 2 units left and 5 units up

28.

What is the scale factor of the two figures?

(a)

29.

Dilate the point B(4,4) by the scale factor of 3. What is our new point?

a)

B' (7,4)

b)

B' (12,12)

c)

B' (7,12)

d)

B' (7, 7)

30.

Which is equivalent to 4⁹⋅4^5?

a)

4¹⁴

b)

4⁴⁵

c)

16¹⁴

d)

16⁴⁵

31.

a)

b)

c)

d)

32.

a)

(0,9)

b)

(-3, 3)

c)

(0, -6)

d)

(3, -3)

33.

Select the correct inverse operation for the following problem:

k - 7 = -12

a)

Add 12

b)

Add 7

c)

Subtract 12

d)

Subtract 7

34.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

35.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

36.

The solution to this system is:

a)

No solution

b)

(0, 1)

c)

(0, -2)

d)

(4, 3)

37.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

Identical lines

c)

Intersecting lines

38.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

39.

Which equation represents the table?

a)

$y=3x$

b)

$y\ =\frac{1}{3}x$

c)

$y=x+2$

40.

A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?

a)

1/8

b)

2/5

c)

1/2

d)

2/3

41.

Kerry walks 3 miles each day. How far will she walk in 7 days?

a)

10 Miles

b)

14 Miles

c)

21 Miles

d)

24 Miles

42.

15 less than a number x

a)

15 - x =

b)

x + 15 =

c)

15 + x =

d)

x - 15 =

43.

Which of the equations listed below are linear equations?
Equation I: C = 2πr
Equation II: A = πr²
Equation III: V = (4/3)πr³

a)

equation I only

b)

equation II only

c)

equations I and III

d)

equations II and III

44.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

45.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

46.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

47.

Solve for x.

4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

48.

Solve for x.

6\left(x+2\right)=-36

a)

$x=-8$

b)

$x=5$

c)

$x=-4$

d)

$x=8$

49.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

50.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

51.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

52.

What is the hypotenuse of the diagram?

a)

11 blocks

b)

9 blocks

c)

5 blocks

d)

10 blocks

53.

Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.

a)

Decrease of 40%

b)

Decrease of 10%

c)

Decrease of 30%

d)

Decrease of 20%

54.

A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards.

This equation represents the situation:

6(x + 18) = 192

What does the variable x represent in Jarred's equation?

a)

the number of screws in one kit

b)

the number of boards in one kit

c)

the number of screws in all 6 kits

d)

the number of boards in all 6 kits

55.

Julie works Sunday, Monday, and Wednesday for 10 hours each day. On Tuesday, Thursday, and Friday, she works 7 hours each day. She does not work on Saturday. Her weekly total earnings are $612.

What is Julie's hourly rate of pay in dollars?

(Hint: Find how many hours she worked in total first.)

a)

$11

b)

$15

c)

$10

d)

$12

56.

What is the diameter of this circle?

a)

12 cm

b)

6 cm

c)

24 cm

d)

36 cm

57.

3.2 x 0.75 =

(a)

58.

5.8 $\div$ .02 =

(a)

59.

$\frac{1}{2}\times\frac{4}{5}=$

(a)

60.

$4\ \times\frac{1}{2}=$

(a)

61.

$\frac{1}{4}\div\frac{3}{4}=$

(a)

62.

$4\div\frac{1}{2}=$

(a)

63.

Melody had to make a visit to the bank because her account was overdrawn by $32. After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?

a)

$100

b)

-$78

c)

$68

d)

$32

64.

A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level. How many feet did she descend?

a)

523 feet

b)

543 feet

c)

0 feet

d)

500 feet

65.

You drive 25 miles in one hour. At this rate, how far will you drive in 3 hours?

a)

25 miles

b)

50 miles

c)

125 miles

d)

75 miles

66.

Express as a unit rate. Round to the nearest tenth, if necessary.
$25.97 for 8 boxes

a)

$3.24 per box

b)

$.31 per box

c)

$3.25 per box

d)

$3 per box

67.

What is the perimeter of the composite figure?

a)

28 cm

b)

38 cm

c)

27 cm

d)

12 cm

68.

The class has 12 girls and 16 boys. What is the ratio of total students to boys? (simplest form)

a)

28/16

b)

7/4

c)

16/28

d)

12/16

69.

Round 23.542 to the nearest tenth.

a)

23.5

b)

23.6

c)

23.54

d)

23

70.

Order the decimals from greatest to least

1.25, 1.52, 1.02, 1.50

a)

1.25 1.52 1.02 1.50

b)

1.02 1.50 1.25 1.52

c)

1.52 1.50 1.25 1.02

d)

1.02 1.25 1.50 1.52

71.

Jenna bought a bag of gummy bears that cost $2.74. She gave the clerk $10. How much money will she get back in change?

a)

$12.74

b)

$7.26

c)

$4.36

d)

$2.64

72.

3.3 + 2.22 =

a)

5.52

b)

5.77

c)

5.55

d)

5.4

73.

23 x 10⁴=

a)

23,000

b)

2,300

c)

230,000

d)

230

74.

Jack is moving and needs to pack 38 books into small boxes. He packs six books in each box. How many books do not fit into a box?

a)

6 books

b)

1 book

c)

5 books

d)

2 books

75.

A recipe calls for 2/3 cup of sugar for every 2 teaspoons of vanilla.

What is the unit rate in cups per teaspoon?

a)

3 cups per tsp

b)

2 cups per tsp

c)

1/3 cup per tsp

d)

1/2 cup per tsp

76.

Janet is writing a book. She writes 3 pages every 2 days. If she continues at the same pace, how long will it take her to write a 400-page book?

Which proportion could be used to solve this problem?

a)

$\frac{3}{x}=\frac{400}{2}$

b)

$\frac{x}{400}=\frac{3}{2}$

c)

$\frac{x}{2}\ =\ \frac{3}{400}$

d)

$\frac{3}{2}=\frac{400}{x}$

77.

What is the difference?

25 - (-9) =

(a)

78.

$10\ \frac{1}{2}-\ 4\ \frac{1}{2}$

a)

$6\ \frac{1}{4}$

b)

$6\ \frac{1}{2}$

c)

6

d)

15

79.

Find the mean of these numbers:
5,11, 2,12, 4, 2

a)

4.1

b)

6

c)

4.5

d)

4

80.

Find the median of these numbers:
4, 2, 7, 4, 3

a)

2

b)

5

c)

7

d)

4

81.

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

a)

8 minutes

b)

9 minutes

c)

16 minutes

d)

18 minutes

82.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

83.

A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?

a)

-300

b)

-1300

c)

-3300

d)

300

84.

What is the GCF of 12 and 16?

a)

4

b)

8

c)

12

d)

2

85.

Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]

a)

-1, -5, 0, 1, 3, 10, 16

b)

16, 10, 3, 1, 0, -1, -5

c)

-5, -1, 0, 1, 3, 10, 16

d)

0, -1, 1, 3, -5, 10, 16

86.

30 - (6-2) x 4

a)

10

b)

14

c)

130

d)

12

87.

Which number sentence is true?

a)

0.5 = 5.0

b)

0.5 = 0.05

c)

0.5 = 0.50

d)

0.5 = 50.0

88.

Jessica needs stamps for her postcards. Each stamp costs $0.23. How much will 8 stamps cost?

a)

.84

b)

$1.60

c)

$1.84

d)

1.01

89.

10 L = ________________ mL

a)

100

b)

1,000

c)

10,000

d)

100,000

90.

What is the perimeter P of the triangle ABC?

a)

P = ab

b)

P = 2a + b

c)

P = a + 2b

d)

P = 2ab

91.

The record high temperature recorded one year was 93 degrees F while the record low temperature that year was -21 degrees F. How much warmer was the high temperature than the low temperature?

a)

114 degrees

b)

-72 degrees

c)

72 degrees

d)

-114 degrees

92.

Solve. (-5) - (-23)

a)

18

b)

-18

c)

28

d)

-28

93.

Which expression is equivalent to: $\frac{1}{2}\left(6x\ +\ \frac{1}{2}\right)$

a)

12x + 1

b)

$6x\ +\ \frac{1}{4\ }$

c)

$3x\ +\ \frac{1}{4\ }$

d)

$3x\ +\ \frac{1}{2\ }$

94.

Sandra bought a pair of leather boots that were marked down by 20%. The original cost of the books was $150. What did Sandra pay for the boots?

a)

$120

b)

$180

c)

$30

d)

$130

95.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

96.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

d)

2 ∗ y + 5

97.

James earns $22.50, $14.75, and $8.50 on three different days. How much did he earn in all?

a)

$28.75

b)

$45.25

c)

$45.75

d)

457.50

98.

Which expression is equal to "the product of five and c, decreased by three"?

a)

5c + 3

b)

5c - 3

c)

5 + c - 3

d)

5 - c - 3

99.

Evaluate the expression 4a - b. Let a = 5 and b = 4

a)

41

b)

24

c)

16

d)

13

100.

A car travels 40 miles in 5 hours. How far can the car travel in 7 hours?

a)

200 miles

b)

35 miles

c)

56 miles

d)

64 miles

Pre-iReady EOY Diagnostic 5/28/24

Total questions: 100

Worksheet time: 9hrs 8mins

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