Quiz about Eureka 22

Question 1

What is the height of a stack of 3 quarters as shown in the graph?

Accepted Answer

5.25 mm

Answer

3.5 mm

Answer

7 mm

Answer

8.75 mm

Question 2

According to the graph, how many quarters are there in a stack if the height is 10.5 millimeters?

Accepted Answer

6 quarters

Answer

12 quarters

Answer

18 quarters

Answer

24 quarters

Question 3

What is the height of the stack when the number of quarters is 18 according to the table?

Accepted Answer

31.5 mm

Answer

10.5 mm

Answer

21 mm

Answer

35 mm

Question 4

Using the double number line, find the height of a stack when there are 20 quarters.

Accepted Answer

35 mm

Answer

17.5 mm

Answer

52.5 mm

Answer

70 mm

Question 5

How much money does Tyler receive if he collects and recycles 3 cans?

Accepted Answer

6 cents

Answer

2 cents

Answer

4 cents

Answer

8 cents

Question 6

If Tyler collects 10 cans, how much money will he receive in total?

Accepted Answer

20 cents

Answer

10 cents

Answer

15 cents

Answer

25 cents

Question 7

What is the expression to calculate the total amount of money Tyler receives if he collects 'c' number of cans?

Accepted Answer

p = 2c

Answer

p=2+c

Answer

p= 2/c

Answer

p=2-c

Question 8

If p = 30, what is the value of c in the equation p = 2c?

Accepted Answer

A) 15

Answer

B) 30

Answer

C) 60

Answer

D) 120

Question 9

If Tyler collects 60 cans, how much money in cents does he receive?

Accepted Answer

C) 120 cents

Answer

A) 30 cents

Answer

B) 60 cents

Answer

D) 240 cents

Question 10

What is the height of the stack of quarters when there are 12 quarters, given that each quarter adds 1.75 mm to the height?

Accepted Answer

D) 21 mm

Answer

A) 5.25 mm

Answer

B) 10.5 mm

Answer

C) 15.75 mm

Question 11

How many quarters are in a stack if the height of the stack is 26.25 mm?

Accepted Answer

D) 15

Answer

A) 3

Answer

B) 9

Answer

C) 12

Question 12

What is the ratio that relates the height of the stack in millimeters to the number of quarters?

Accepted Answer

5.25:3

Answer

5:2.3

Answer

1.75:1

Answer

2.5:3

Question 13

Using the expression 1.75q, if q represents the number of quarters, what is the height of the stack when there are 8 quarters?

Accepted Answer

14 mm

Answer

12 mm

Answer

16 mm

Answer

18 mm

Question 14

If the height of a stack of quarters is 40.25 mm, how many quarters are in the stack?

Accepted Answer

23 quarters

Answer

21 quarters

Answer

22 quarters

Answer

24 quarters

Question 15

What is the independent variable in the equation y = 0.3x?

Accepted Answer

x

Answer

y

Answer

0.3

Answer

None of the above

Question 16

In the equation 1/3 n = r, what does r depend on?

Accepted Answer

The value of n

Answer

The value of 1/3

Answer

The value of r

Answer

None of the above

Question 17

If b = 4/5 a, which variable is the dependent variable?

Accepted Answer

b

Answer

a

Answer

4/5

Answer

None of the above

Question 18

Scott earns $90.00 per hour and his earnings are represented by m. If h represents the number of hours he works, how is m calculated?

Accepted Answer

m = 90h

Answer

m = h/90

Answer

m = 90 + h

Answer

m = h - 90

Question 19

Tara walks 1 mile in 15 minutes. If t represents the time in minutes, what does d represent?

Accepted Answer

The distance Tara walks in miles

Answer

The speed of Tara's walk

Answer

The time Tara takes to walk

Answer

The number of walks Tara takes

Question 20

Sana needs 5 beads for every inch of chain to make a bracelet. If c represents the length of chain in inches, how many beads does Sana need?

Accepted Answer

5c beads

Answer

c/5 beads

Answer

5 + c beads

Answer

5 - c beads

Question 21

How many cups of water are needed for 9 tablespoons of lemon juice according to the lemonade recipe?

Accepted Answer

C) 3 cups

Answer

A) 1 cup

Answer

B) 2 cups

Answer

D) 4 cups

Question 22

If j represents the number of tablespoons of lemon juice, which expression shows the number of cups of water needed?

Accepted Answer

C) j / 3

Answer

A) j + 3

Answer

B) j - 3

Answer

D) 3 / j

Question 23

What is the dependent variable in the equation w = j / 3?

Accepted Answer

B) w

Answer

A) j

Answer

C) 3

Answer

D) None of the above

Question 24

What is the independent variable in the equation w = j / 3?

Accepted Answer

A) j

Answer

B) w

Answer

C) 3

Answer

D) None of the above

Question 25

How many tablespoons of lemon juice are needed for 4 cups of water according to the ratio given in the table?

Accepted Answer

12 tablespoons

Answer

15 tablespoons

Answer

10 tablespoons

Answer

8 tablespoons

Question 26

If the number of cups of water is represented by 'w', what expression represents the number of tablespoons of lemon juice?

Accepted Answer

j = 3w

Answer

j = w + 3

Answer

j = w/3

Answer

j = 3 + w

Question 27

What is the ratio of students to pizzas needed if there are 16 students?

Accepted Answer

4:1

Answer

1:4

Answer

2:1

Answer

1:2

Question 28

According to the ratio table, how many pizzas are needed for 8 students?

Accepted Answer

2 pizzas

Answer

3 pizzas

Answer

4 pizzas

Answer

1 pizza

Question 29

In the given ratio relationship, if 'n' represents the number of students and 'p' represents the number of pizzas, which equation correctly describes the relationship where the number of pizzas is dependent on the number of students?

Accepted Answer

p = 4n

Answer

n = 4p

Answer

p = n/4

Answer

n = p/4

Question 30

If 'n' is the number of students and 'p' is the number of pizzas, which variable is the independent variable?

Accepted Answer

n, the number of students

Answer

p, the number of pizzas

Answer

Both n and p

Answer

Neither n nor p

Question 31

What is the dependent variable in the equation p = 1/4 n?

Accepted Answer

p, the number of pizzas

Answer

n, the number of students

Answer

Both n and p

Answer

Neither n nor p

Question 32

What is the thickness of one nickel as mentioned in the document?

Accepted Answer

1.95 millimeters

Answer

1.95 centimeters

Answer

1.95 meters

Answer

1.95 inches

Question 33

If you have 3 nickels stacked together, what would be the total height of the stack according to the calculations provided?

Accepted Answer

5.85 millimeters

Answer

5.85 centimeters

Answer

6 millimeters

Answer

3.9 millimeters

Question 34

What is the formula given for calculating the height of a stack of nickels?

Accepted Answer

h = 1.95n

Answer

h = n/1.95

Answer

h = 1.95 + n

Answer

h = n - 1.95

Question 35

Which variable represents the number of nickels in the stack?

Accepted Answer

n

Answer

h

Answer

s

Answer

m

Question 36

What is the dependent variable in the scenario described?

Accepted Answer

The height of the stack in millimeters

Answer

The number of nickels

Answer

The thickness of one nickel

Answer

The calculation method

Question 37

What is the weight of 6 pennies according to the ratio table?

Accepted Answer

15 grams

Answer

5 grams

Answer

10 grams

Answer

20 grams

Question 38

According to the graph, how many pennies weigh 7.5 grams?

Accepted Answer

3 pennies

Answer

4 pennies

Answer

5 pennies

Answer

6 pennies

Question 39

Using the double number line, what would be the weight of 30 pennies?

Accepted Answer

75 grams

Answer

60 grams

Answer

90 grams

Answer

100 grams

Question 40

How many pennies are equivalent to 112.5 grams as per the double number line?

Accepted Answer

45 pennies

Answer

50 pennies

Answer

40 pennies

Answer

55 pennies

Question 41

What is the total amount of money raised when 3 shirts are sold at $6 each?

Accepted Answer

$18

Answer

$24

Answer

$12

Answer

$30

Question 42

If the band sells each shirt for $6, how many shirts must be sold to raise $30?

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 43

Using the expression 6n, where n represents the number of shirts sold, what is the value of n when the total money raised is $24?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 44

What equation represents the relationship between the total amount of money raised (d) and the number of shirts sold (n) if each shirt is sold for $6?

Accepted Answer

d = 6n

Answer

d = 6 + n

Answer

d = n/6

Answer

d = 6 - n

Question 45

How many shirts does the band need to sell to raise $750, according to the equation d = 6n?

Accepted Answer

125

Answer

100

Answer

150

Answer

175

Question 46

According to the equation d = 6n, how many shirts were sold to raise $1,350?

Accepted Answer

225

Answer

200

Answer

250

Answer

275

Question 47

What is Julie's pay in dollars if she works 15 hours, according to the equation p = 15h?

Accepted Answer

$225

Answer

$150

Answer

$245

Answer

$300

Question 48

In the equation d = 5t, what is the value of d when t = 6?

Accepted Answer

30

Answer

11

Answer

25

Answer

15

Question 49

Using the equation y = 1/4x + 3, find the value of y when x = 8.

Accepted Answer

6

Answer

5

Answer

4

Answer

7

Question 50

If c = 5/2n, what is the value of n when c = 10?

Accepted Answer

4

Answer

5

Answer

6

Answer

7

Question 51

According to the recipe, how many minutes are needed to roast a chicken that weighs 5 pounds?

Accepted Answer

100 minutes

Answer

120 minutes

Answer

90 minutes

Answer

110 minutes

Question 52

For a staircase with 8 stairs, what is the total height in feet using the equation h = 7/12s?

Accepted Answer

5.67 feet

Answer

4.67 feet

Answer

6.67 feet

Answer

7.67 feet

Question 53

What is the total amount of money Ryan earns if he mows 8 lawns, given that he earns $25 per lawn?

Accepted Answer

$400

Answer

$100

Answer

$200

Answer

$300

Question 54

If the ratio of blue paint to red paint is 4:1, how many ounces of red paint will be needed if 16 ounces of blue paint are used?

Accepted Answer

4 ounces

Answer

2 ounces

Answer

6 ounces

Answer

8 ounces

Question 55

What is the number of ounces of blue paint when 3 ounces of red paint are used, according to the ratio given in the table?

Accepted Answer

12 ounces

Answer

9 ounces

Answer

15 ounces

Answer

18 ounces

Question 56

If 5 ounces of red paint are used, how many ounces of blue paint will be needed based on the ratio provided?

Accepted Answer

20 ounces

Answer

15 ounces

Answer

25 ounces

Answer

30 ounces

Question 57

Using the expression 'b = 4r', what is the value of 'b' when 'r' is 2?

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 58

According to the cake ratio table, how many students can be served with 3 cakes?

Accepted Answer

72

Answer

24

Answer

48

Answer

96

Question 59

What is the independent variable in the ratio relationship where the number of cakes is represented by c and the number of students by n, with the relationship n = 24c?

Accepted Answer

c

Answer

n

Answer

24

Answer

The number of cakes

Question 60

What is the dependent variable in the ratio relationship where c represents the number of cakes and n represents the number of students, given the equation n = 24c?

Accepted Answer

n

Answer

c

Answer

24

Answer

The number of students

Question 61

What is the solution to the equation y - 1.6 = 8.4?

Accepted Answer

10

Answer

9.8

Answer

7

Answer

6.8

Question 62

On a number line, how are the points 2.5 and -2.5 positioned relative to each other?

Accepted Answer

They are on opposite sides of zero.

Answer

They are on the same side of zero.

Answer

They are both to the right of zero.

Answer

They are both to the left of zero.

Question 63

What is the absolute value of both 2.5 and -2.5 on the number line?

Accepted Answer

2.5 units

Answer

0 units

Answer

5 units

Answer

1.25 units

Eureka 22

65 questions

What is the height of a stack of 3 quarters as shown in the graph?

According to the graph, how many quarters are there in a stack if the height is 10.5 millimeters?

What is the height of the stack when the number of quarters is 18 according to the table?

Using the double number line, find the height of a stack when there are 20 quarters.

How much money does Tyler receive if he collects and recycles 3 cans?

If Tyler collects 10 cans, how much money will he receive in total?

What is the expression to calculate the total amount of money Tyler receives if he collects 'c' number of cans?

If p = 30, what is the value of c in the equation p = 2c?

If Tyler collects 60 cans, how much money in cents does he receive?

What is the height of the stack of quarters when there are 12 quarters, given that each quarter adds 1.75 mm to the height?

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