Free Printable GRADE 8

1.

If $\left(m-t\right)\left(B\right)=m^3-t^3$ , then which of the following is the value of B?

a)

$m^2-mt\ -t^2$

b)

$m^2+mt\ -t^2$

c)

$m^2+mt\ +t^2$

d)

$m^2-mt\ +t^2$

2.

Which of the following statement is correct?

a)

$6m^2+5mn+n^2$ $=\left(2m-n\right)\left(3m-n\right)$

b)

$6m^2+40m-25$ $=\left(4m-5\right)\left(4m-5\right)$

c)

$6m^2-13m-28$ $=\left(3m-4\right)\left(2m+7\right)$

d)

$4m^2+20m+25$ $=\left(2m+5\right)^2$

3.

Your classmate Pedro asked to square (4y – 6), he answered

16 $y^2$ – 36. Is his answer correct? Why?

a)

Yes, because squaring a binomial always produces a binomial

product.

b)

Yes, because the product rule is correctly applied.

c)

No, because squaring a binomial always produces a trinomial

product.

d)

No, because the answer must be 16+ 36 $y^2$

4.

What is the simplest form of $\frac{(24a+36b)}{12}$ ?

a)

2a − 8b

b)

a + 8b

c)

2a + 3b

d)

2a + b

5.

Simplify $\frac{x^2+7x+10}{y^2+2y-15}\div\frac{3x+15}{3y+15}$ .

a)

$\frac{\left(x+2\right)}{\left(y-3\right)}$

b)

$\frac{3\left(x+2\right)}{\left(y-3\right)}$

c)

$\frac{\left(x+2\right)}{3\left(y-3\right)}$

d)

3

6.

Which of the following is true about the points in the given Figure?

a)

J is located in Quadrant II.

b)

B is located in Quadrant I

c)

C is located in Quadrant III

d)

G is located in Quadrant IV

7.

Which of the following is true to 3xy + 9 = 0?

a)

A. 3xy + 9 = 0 is linear equation in two variables because it has variables x and y.

b)

3xy + 9 = 0 is not a linear equation in two variables because x and y belong in one term.

c)

3xy + 9 = 0 is linear equation in two variables because x and y are one term.

d)

None of the above.

8.

If y=3x+6 is in the slope-intercept form, what would be its standard

form?

a)

3x+y=6

b)

-3x+y=6

c)

-3x-y=6

d)

3x-y=-6

9.

Which of the following equations represents

the graph as shown in the figure where

P1 (0,2) and P2 (-2,0)?

a)

y = 7x + 7

b)

y = x + 2

c)

$y=-\left(\frac{2}{7}\right)x+2$

d)

$y=-\left(\frac{7}{2}\right)x+7$

10.

Complete the table of values for the given lines:

7x - 4y =2

a)

12

b)

17

c)

-12

d)

-17

11.

Jennifer is 20 miles north of her house, from that point, she drove towards east on the highway at a rate of 55 miles per hour. What is the slope on this situation?

a)

$\frac{2}{11}$

b)

$\frac{4}{11}$

c)

$\frac{6}{11}$

d)

$\frac{8}{11}$

12.

A car park charges Php 60 for the 3 hours and Php 5 for the succeeding hour or a

fraction thereof. Another car park charges Php 45 for the first 3 hours and Php 10 for the succeeding hour or a fraction thereof. In how many hours would a car owner pay the same parking fee in any of the two car parks?

a)

2 hours

b)

3 hours

c)

4 hours

d)

6 hours

13.

Luisa says that the system

{ 3x + y = 2 &

{ 2y = 15 − 6x

has no solution. Which of the following reasons would support her statement?

l. The graph of the system of equations shows parallel lines

ll. The graph of the system of equations shows intersecting lines.

lll. The two lines as described by the equations in the system have the same slope.

a)

I and II

b)

I and III

c)

II and III

d)

I, II and III

14.

Lisa bought 5 Sunflowers and 20 Roses for her mother. If x represents the cost of

Sunflower and y represents the cost of Roses, what will be the mathematical

representation of the total cost if he paid at most Php800?

a)

5x + 20y ≤ 800

b)

5x + 20y ≥ 800

c)

5x + 20y > 800

d)

5x + 20y < 800

15.

Ana and Marielle went to the grocery to buy cans of milk and sachets of coffee. Ana paid Php 672 for 12 cans of milk and 24 sachets of coffee. Marielle bought the same cans of milk and sachets of coffee but only paid less than Php 450. Suppose each sachet of coffee costs Php 5.50. How many cans of milk and sachets of coffee could Marielle have

a)

6 cans of milk and 36 sachets of coffee

b)

8 cans of milk and 16 sachets of coffee

c)

10 cans of milk and 12 sachets of coffee

d)

12 cans of milk and 8 sachets of coffee

GRADE 8 - MATH WIZARD

Total questions: 15

Worksheet time: 15mins

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