Quiz about Math 8 - Q1 Review

Question 1

What is the sum of 3x+5x?

Accepted Answer

8x

Answer

2x

Answer

15x

Answer

15x

Question 2

Simplify: $$\frac{6x}{3}$$

Accepted Answer

2x

Answer

9x

Answer

x2

Answer

3x

Question 3

Simplify: $$\frac{12y}{4y}$$

Accepted Answer

3

Answer

3y

Answer

8y

Answer

y

Question 4

Simplify: $$\frac{10a^2}{5a}$$

Accepted Answer

2a

Answer

2a3

Answer

5a

Answer

15a

Question 5

The scores of five students are: 12, 15, 10, 13, 20. Compute the mean, median, and mode of the data.

Accepted Answer

Mean = 14, Median = 13, Mode = none

Answer

Mean = 14, Median = 13, Mode = 12

Answer

Mean = 13, Median = 14, Mode = none

Answer

Mean = 13, Median = 13, Mode = none

Question 6

The scores of 6 students are: 10, 12, 14, 16, 18, 20. Using these data, which of the following statements are correct? I. The mean is 15. II. The median is 15. III. The mean and median are equal

Accepted Answer

I, II, and III

Answer

I and II only

Answer

II and III only

Answer

I and III only

Question 7

The heights (in cm) of 8 plants are: 4, 6, 6, 8, 10, 12, 12, 14. Calculate the mean and identify how many modes are present in the data.

Accepted Answer

Mean = 9, Two modes

Answer

Mean = 9, One mode

Answer

Mean = 8, One mode

Answer

Mean = 8, Two modes

Question 8

The data set is: 25, 30, 35, 25, 40, 45, 30. Determine the mode and the mean.

Accepted Answer

Mode = 25 and 30, Mean = 32.1

Answer

Mode = 25, Mean = 32.1

Answer

Mode = 30, Mean = 33.5

Answer

Mode = 25 and 30, Mean = 33.5

Question 9

Set A: 2, 4, 6, 8, 10 Set B: 3, 3, 3, 3, 15 Find the mean of each set and determine which has the higher mean.

Accepted Answer

Set A has the higher mean

Answer

Set B has the higher mean

Answer

Both sets have the same mean

Answer

Cannot be determined

Question 10

Find the product: (3x)(x+4)

Accepted Answer

$$3x^2$$ +12x

Answer

3x+4

Answer

$$x^2$$ +12x

Answer

$$3x^2$$ +4

Question 11

Multiply: (y+5)(y+2)

Accepted Answer

$$y^2+7y+10$$

Answer

$$y^2+10y$$

Answer

$$y^2+7$$

Answer

$$y^2+12$$

Question 12

Simplify: $$(m+3)(m^2+2m+4)$$

Accepted Answer

$$m^3+5m^2+10m+1$$ 2

Answer

$$m^3+2m^2+4m+3$$

Answer

$$m^3+3m^2+6m+4$$

Answer

$$m^3+3m^2+6m+4$$

Question 13

Expand $$(x+5)^2$$ . Which statements are correct?

I. The result is $$x^2+10x+25$$

II. This is a perfect square trinomial.

III. The middle term is twice the product of x and 5.

Accepted Answer

I, II, and III

Answer

I and II only

Answer

II and III only

Answer

I and III only

Question 14

Expand: $$(3y−2)^2$$

Accepted Answer

$$9y^2−12y+4$$

Answer

$$9y^2−6y+4$$

Answer

$$9y^2−49$$

Answer

$$9y^2−12y−4$$

Question 15

The pattern $$(a+b)^2=a^2+2ab+b^2$$ is called:

Accepted Answer

Perfect square trinomial

Answer

Difference of squares

Answer

Common monomial factor

Answer

Quadratic trinomial

Question 16

Factor $$6x^3+12x^2$$ completely. Which of the following shows both the GCF and the factored form correctly?

Accepted Answer

GCF: $$6x^2$$ ; Factored form: $$6x^2(x+2)$$

Answer

GCF: 6x; Factored form: $$6x(x^2+2x)$$

Answer

GCF: $$3x^2$$ ; Factored form: $$3x^2(2x+4)$$

Answer

GCF: $$12x^2$$ ; Factored form: $$12x^2(x^2+1)$$

Question 17

A school surveyed the number of books read by students in a month. The mean is 4 books, the median is 3 books, and the mode is 2 books. Which conclusion is most reasonable?

Accepted Answer

A few students read many more books than most students.

Answer

Most students read 4 books.

Answer

The majority of students read fewer than 3 books.

Answer

The scores are evenly distributed across the group.

Question 18

The average score in Math for Class A is 85, and for Class B it is 82. Both classes have the same number of students. Which conclusion is most reasonable?

Accepted Answer

Class A performed better overall than Class B.

Answer

The scores in Class B are more consistent.

Answer

Class B has more students who scored high.

Answer

Class A has no students who scored below 85.

Question 19

A box has a volume of $$a^6b^4$$ cubic meters. If each layer of boxes is stacked on top of another $$a^4b^3$$ times taller, what is the total volume of the stack?

Accepted Answer

$$a^{10}b^7$$ cubic meters

Answer

$$a^7b^5$$ cubic meters

Answer

$$a^{12}b^6$$ cubic meters

Answer

$$a^{10}b^5$$ cubic meters

Question 20

The volume of a tank is $$x^8y^6$$ liters. If each bottle can hold $$x^5y^2$$ liters, how many bottles are needed to empty the tank?

Accepted Answer

$$x^{13}y^8$$

Answer

$$x^3y^4$$

Answer

$$x^5y^4$$

Answer

$$x^3y^8$$

Question 21

A company produces $$m^6n^5$$ items in one month. If they divide these items equally into $$m^5n^4$$ containers, how many items are in each container?

Accepted Answer

$$m^5n$$

Answer

mn

Answer

$$m^6n^7$$

Answer

$$mn^7$$

Question 22

A map scale shows 1cm/50km. If the distance between two cities on the map is 4 cm, what is the actual distance between them?

Accepted Answer

200 km

Answer

100 km

Answer

150 km

Answer

250 km

Question 23

The sequence 3,6,12,24,... represents the number of bacteria doubling every hour. Which rule describes the sequence?

Accepted Answer

Multiply the previous term by 2

Answer

Add 3 each time

Answer

Multiply by 3 each time

Answer

Add 6 each time

Question 24

Add and simplify

Accepted Answer

Question 25

Subtract and simplify

Accepted Answer

Question 26

Multiply and simplify

Accepted Answer

Question 27

Divide and simplify

Accepted Answer

Answer

1

Math 8 - Q1 Review

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