Free Printable Math 8

1.

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

a)

48 minutes

b)

50 minutes

c)

24 minutes

d)

12 minutes

2.

Joan can clean the store in five hours. If Dan helps, it takes them four hours. Without help, how long would it take Dan to complete this job ?

a)

10

b)

25

c)

20

d)

15

3.

Keith and Melanie were able to reupholster furniture in three hours together. It takes Melanie five hours to do this job alone. Without help, how long would it take Keith to do this job ?

a)

5.5

b)

6.5

c)

7.5

d)

8.5

4.

Write answer as decimal number without the unit. (a) hours

5.

Write answer as fraction using / e.g. 1/2.

(a)

6.

The red triangle is at coordinate

a)

(4,3)

b)

(3,4)

c)

(-3,-4)

d)

(-4,3)

7.

The yellow square is at coordinate

a)

(-3,2)

b)

(2,-3)

c)

(-2,3)

d)

(-3,-2)

8.

The blue pentagon is at coordinate

a)

(5,2)

b)

(-5,2)

c)

(-5, -2).

d)

(2,-5)

9.

The green circle is at coordinate

a)

(1, -5).

b)

(1,5)

c)

(-1,-5)

d)

(5,-1)

10.

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

a)

E

b)

F

c)

G

d)

H

11.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

12.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

13.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

14.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

15.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

16.

What direction is an undefined slope?

a)

horizontal

b)

vertical

17.

What is the value of m?
y = − ⅚x - 9

a)

m = − ⅚

b)

m = − ⅚x

c)

m = -9

d)

m = ⅚

18.

What is the slope?
y = 3x + 1

a)

m = 3

b)

m = 3x

c)

m = 1

d)

m = 4

19.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

20.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

21.

What type of line is the equation x = 8 ?

a)

vertical

b)

horizontal

c)

neither

22.

What type of line is the equation y = 10 ?

a)

vertical

b)

horizontal

c)

neither

23.

What is the equation of the line graphed?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

24.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

25.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

26.

^{What is the x- intercept of the line?}

a)

x = 1

b)

x = 2

c)

x = -1

d)

x = -2

27.

Give the y-intercept
3x + y = 5

a)

-3

b)

(0,5)

c)

-5

d)

(0, -3)

28.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

29.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

30.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

31.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

32.

If a pair of linear equations is consistent, then the lines will be

a)

parallel

b)

always coincident

c)

intersecting or coincident

d)

always intersecting

33.

The equations 4x + 3y – 1 = 5 and 12x + 9y = 15 represent

a)

No solution

b)

Infinite many solution

c)

Unique solution

34.

The equations 4x + 3y = 5 and 12x + 9y = 15 represent

a)

No solution

b)

Infinite many solution

c)

Unique solution

35.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

36.

The solution is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

37.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

38.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

39.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

40.

6x + y = + 5

-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

41.

6x + y = -1

3x + y = - 4

a)

(3, 1)

b)

(1, 7)

c)

(-3, 1)

d)

(1, -7)

42.

y = -3x + 11
5x + y = 21

a)

(1, -5)

b)

(1, 5)

c)

(-4, 5)

d)

(5, -4)

43.

3x + y = 1
y = 4x + 1

a)

(0, -1)

b)

No Solution

c)

(0, 8)

d)

(0, 1)

44.

x = -3y - 8
x - 2y = -3

a)

(5, -1)

b)

(-5, 1)

c)

(-5,-1)

d)

(1,-5)

45.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

46.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

47.

Solve by elimination:
-9x-4y=-20

5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

48.

Solve by substitution:

7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

49.

Solve by Substitution:

4x+4y=4

3x+4y=10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

50.

Solve the following system by graphing. What is the solution?

a)

Infinity

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

51.

Solve the system by substitution.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

52.

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

a)

Parallel lines

b)

the same line

c)

Intersecting lines

53.

What is the equation of the line that passes through points (-2, 1/2) and (-4, -2) in slope intercept form?

a)

$y=\frac{5}{4}x+3$

b)

$y=\frac{2}{3}x-2$

c)

$y=\frac{2}{5}x-6$

d)

$y=\frac{4}{5}x-3$

54.

What is the equation of the line that passes through (3,7) and (2,-2) in general form?

a)

$9x-y=20$

b)

$9x+y=20$

c)

$9x-3y=20$

d)

$3x-9y=5$

55.

What is the equation of the line that passes through points (2, -9) and (1, -1) in General form?

a)

$y=-8x+7$

b)

$8x+y-7=0$

c)

$7y-8x+20=0$

d)

$20x-7y+2=0$

56.

What is the equation of the line with slope of -2/3 and passes through (2, -8) in Standard form?

a)

$2x+3y\ =-20$

b)

$3x-2y\ =-20$

c)

$5x+3y\ =-10$

d)

$5x-3y=-10$

57.

What is the equation of the line that has a slope of -6 and passes through point (-1/2, 4) in General Form?

a)

6x + y-1= 0

b)

x + 5y-3= 0

c)

x + 6y-1= 0

d)

2x + 3y-5= 0

58.

What is the equation of the line with x-intercept= 4 and y-intercept= -7 in slope-intercept form?

a)

$y=\frac{7}{4}x+7$

b)

$y=\frac{4}{7}x+4$

c)

$2x-3y=5$

d)

$7x-4y=-7$

59.

What is the equation of the line with x-intercept =6 and y-intercept = -2 in standard form?

a)

x-3y=6

b)

2x+3y=6

c)

3x+2y=6

d)

3x+y=6

60.

Write the slope-intercept form of the equation of each line.

a)

y=-x+4

b)

$y=-4x-1$

c)

$y=5x+4$

d)

$y=4x-1$

Math 8

Total questions: 60

Worksheet time: 4hrs 15mins

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