Free Printable Topic 2 Quick Check

1.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

2.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

3.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

4.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

a)

C = 5h + 3

b)

C = 3h + 5

c)

H = 5c + 3

d)

H = 3c + 5

5.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

6.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

7.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

8.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

9.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

10.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

11.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

12.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

13.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

14.

Write the point-slope form of the given line.

15.

Write an equation of the line going through the point (-4, 1) with a slope of 1/3.

a)

$y-1=\frac{1}{3}\left(x+4\right)$

b)

$y+4=\frac{1}{3}\left(x-1\right)$

c)

$y-4=\frac{1}{3}\left(x+1\right)$

d)

$y+1=\frac{1}{3}\left(x-4\right)$

16.

Name the point given in this line: $y+1=-\frac{5}{4}\left(x-3\right)$

(a)

17.

Transform this point-slope equation into slope intercept form:

$y-2=3\left(x+4\right)$

(a)

18.

a)

y= 3/4 x + 3

b)

y= 1/2 x +3

c)

y= 2x+3

d)

y=2x-7

19.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

20.

What is the formula for standard form?

a)

y=mx+b

b)

y-y₁=m(x-x₁)

c)

Ax+By=C

d)

rise÷run

21.

What is the y-intercept of the graph of 3x+4y=24

a)

-6

b)

6

c)

15

d)

-15

22.

What is the x- intercept of the graph of 3x+4y=24

a)

12

b)

8

c)

-12

d)

-8

23.

Write the following equation in slope-intercept form:
4x - 3y = 12

a)

y = -4/3x + 3

b)

y = -4x + 12

c)

y = 4/3x - 4

d)

y = 4/3x - 12

24.

What is the x-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

25.

What is the standard form of a linear equation?

a)

y = mx + b

b)

Ax + By = C

26.

Graph 2x + 4y = 4

a)

b)

c)

d)

27.

What does the y-intercept represent?

a)

The amount of each deposit made

b)

The number of deposits made

c)

The initial amount of money in the savings account

d)

The amount of money in the savings account after 50 deposits

28.

The graph shows the height (cm) of a candle as it burns, what is the y intercept and what does the y-intercept mean?

a)

b=9, Candle starts at 9 cm.

b)

b=2, the candle burns 2 inches per hour.

c)

b=9, the candle burns 9 inches per hour.

d)

b = 5, The candle ends at 5 cm

29.

What does the x intercept represent?

a)

The length of the race

b)

The amount of time it took Trish to run the race.

30.

Write the following equation in slope-intercept form

− 2x + 4y = −8

a)

y = $\frac{1}{2}$ x - 2

b)

y = $-\frac{1}{2}$ x + 2

c)

y = 2x - 2

d)

y = -2x + 2

31.

Stephanie buys popcorn and soda at the concessions stand for her friends. Popcorn cost $3 and soda cost $4. Write a linear equation that models the possible amounts of popcorn x and soda y Stephanie can buy if she has $48 to spend.

a)

3x + 4y = 48

b)

4x + 3y = 48

c)

48x + 4y = 3

d)

3x + 48y = 4

32.

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

a)

subtract 2x from each side

b)

subtract 4y from each side

c)

add 2x to each side

d)

add 4y to each side

33.

Solve for y
5x - y = 6

a)

y= 5x-6

b)

Y= -5X +6

c)

Y=5X+6

d)

Y=-5X-6

34.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

35.

what is the slope for the following equation 9x + 2y = 9

a)

-2/9

b)

-9/2

c)

-9

d)

9

36.

what is the slope given the following two points (2,-4) and (1, 5)?

a)

9

b)

-5

c)

5

d)

-9

37.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

38.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

39.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

40.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

41.

Which equation describes a line that is perpendicular to the line y = -2/7x + 4/7 and contains the point (-6, 5)?

a)

y = 7/2x + 26

b)

y = 7/2x - 16

c)

y = 7/2x - 26

d)

y = 7/2x + 16

42.

What slope is perpendicular to:

m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

43.

y = 6x + 2

y = -6x + 2

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

44.

y = -2/3x + 2

y = 3/2x + 9

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

45.

A line is parallel to y = 2x - 7.

What is its slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

46.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

47.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

48.

What does the "b" represent in $y=mx+b$

a)

y-intercept

b)

nothing

c)

slope

d)

base

49.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

50.

$y=\frac{-2}{7}x+4$ and $y=\frac{7}{2}x-3$ are parallel lines

a)

True

b)

False

51.

$y=3x+2$ and $y=3x-3$ These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

52.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

53.

y = 3/2x + 2
y = 2/3x + 6
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

54.

What slope is perpendicular to: m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

55.

Are these lines parallel?
y = 12x + 4
y = 12x +14

a)

YES

b)

NO

56.

Write an equation of a line that passes through the point (8,10) and is parallel to the line y = (1/2)x - 9.

a)

y = -2x - 14

b)

y = -2x + 6

c)

y = (1/2)x - 14

d)

y = (1/2)x + 6

57.

Write an equation in slope intercept form that is perpendicular to y = -3x + 4 and passes through the point (9,5).

a)

y = 3x - 32

b)

y = -3x + 22

c)

y = 1/3x - 8

d)

y = 1/3x + 2

58.

Write an equation in slope intercept form that is parallel to y = 2x + 3 and passes through the point (3, -4).

a)

y = 2x + 10

b)

y = 2x -10

c)

y = -2x -10

d)

y= -2x - 2

59.

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

60.

Find the equation of a line with a slope of 3 passing through the point (2, 5).

a)

y = 3x + 1

b)

y = 3x + 5

c)

y = 3x - 1

d)

y = 3x - 5

Topic 2 Quick Check

Total questions: 60

Worksheet time: 2hrs 2mins

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