Free Printable MATH 005# Exam 3 Review

1.

What is an 'ordered pair' ?

a)

A 2-dimensional coordinate plane region determined by a pair of axes.

b)

x- coordinate

c)

A pair of numbers which can be represented as x and y that indicate the position of a point on the coordinate plane

d)

Point of origin

2.

It refers to the horizontal number line in a rectangular coordinate system.

a)

Origin

b)

X-axis

c)

Y-axis

d)

Quadrants

3.

It refers to the vertical number line in a rectangular coordinate system.

a)

Origin

b)

X-axis

c)

Y-axis

d)

Quadrants

4.

It refers to the intersection of the horizontal and vertical number line in a rectangular coordinate system with coordinates as (0,0).

a)

Origin

b)

X-axis

c)

Y-axis

d)

Quadrants

5.

It refers to the four infinite regions in a rectangular coordinate system.

a)

Origin

b)

X-axis

c)

Y-axis

d)

Quadrants

6.

In what quadrant does point A lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

7.

In what quadrant does point B lie?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

8.

On what part of the axis does point C lie?

a)

Positive x axis

b)

Positive y axis

c)

Negative x axis

d)

Negative y axis

9.

On what part of the axis does point D lie?

a)

Positive x axis

b)

Positive y axis

c)

Negative x axis

d)

Negative y axis

10.

What letter is at (-3, 7)

a)

K

b)

W

c)

R

d)

E

11.

If you were to plot the point (4, -12) what would be the correct method?

a)

Up 4, left 12

b)

Right 4, up 12

c)

Down 4, left 12

d)

Right 4, down 12

12.

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

a)

G

b)

Z

c)

K

d)

None of the above

13.

Which two ordered pairs are solutions of this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

14.

Which ordered pair is a solution to the equation $y=\frac{1}{4}\left(x-20\right)+2$

a)

(4,-2)

b)

(8,-1)

c)

(0, -3)

d)

(20, 2)

15.

In the graph shown, what does the ordered pair (2,4) represent?

a)

The height of the grass in week 2 is 4 inches

b)

The height of the grass in week 4 is 2 inches more than the height in week 3

c)

The height of the grass is week 4 is 2 inches

d)

The height of the grass in week 2 is 4 inches more than the height in week 3

16.

Which graph represents the table?

a)

b)

c)

d)

17.

Which graph represents the table?

a)

b)

c)

d)

18.

On a graph, which axis shows the dependent variable?

a)

x-axis

b)

y-axis

c)

neither

d)

it changes

19.

On a graph, which axis shows the independent variable?

a)

x-axis

b)

y-axis

c)

neither

d)

it changes

20.

Jimmy earned $8 for every pizza he delivers.

m = money (dollars)

p = number of pizzas delivered

The dependent variable is:

a)

m = money

b)

p = number of pizzas delivered

21.

Emma gets one sticker for every paper she completes.

s = stickers earned

p = papers completed

The independent variable is:

a)

s = stickers earned

b)

p = papers completed

22.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

23.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

24.

What is the slope formula?

a)

b)

c)

d)

25.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

26.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

27.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

28.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

29.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

30.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

31.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

32.

What is the slope with the correct units?

a)

$1 per 2 tickets

b)

1 ticket per $2

c)

$2 per 1 ticket

d)

2 tickets per $1

33.

Which of the following is the correct interpretation of a line with the slope of 2/3

a)

For every 3 units to the right, you go up 2 units.

b)

For every 3 units to the left, you go up 2 units

c)

For every 2 units to the right, you go up 3 units.

d)

For every 3 units to the right, you do down 2 units

34.

Select ALL that apply

a)

the data represents a NON-linear relationship

b)

the rate of change is 6

c)

the data has a NON-constant rate of change

d)

the rate of change is 1

e)

the data represents a linear relationship

35.

Which of these represents slope-intercept form?

a)

y = m(x-x₀) + y₀

b)

Ax + By = C

c)

y = mx + b

36.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

37.

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

a)

(0,-4)

b)

(0,5)

c)

-5

d)

(0,-5)

38.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

39.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

40.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

41.

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

42.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

43.

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

a)

y = m(x - x₀) + y₀

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

44.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y = -3(x - 1) + 6

b)

y = -3(x + 1) - 6

c)

y = -3(x - 6) + 1

d)

y = -3(x + 3) - 1

45.

The line with the equation

y = -3(x - 5) - 1,

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

46.

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

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

47.

For the equation
y = 7(x - 5) - 2,
the line has a slope of 7 and contains what point?

(a)

48.

Choose an equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1) and has a slope of 2.

a)

y = 2(x + 1) - 5

b)

y = 2(x - 3) - 5

c)

y = 2(x + 5) - 1

d)

y = 2(x - 5) - 3

49.

Write the following equation in slope intercept form:

y = 3(x - 1) - 9

a)

y = 3x + 12

b)

y = 3x - 12

c)

y = 3x - 6

d)

y = 3x + 6

50.

Convert the equation of the line

y = -3(x - 6) - 5

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

51.

Two lines that are parallel will have ...

a)

Slopes that are opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

52.

Two lines that are perpendicular lines have ...

a)

Slopes that are opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

53.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

54.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

55.

What type of line has a slope of 0?

a)

vertical

b)

horizontal

c)

neither

56.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 with a y-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

57.

-6x + y = 2

y = 6x - 5

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

58.

Which line is perpendicular to

y = 2x - 7 ?

a)

y = -2x + 8

b)

y = ¹/₂x - 7

c)

y = ^-1/₂x + 2

d)

y = 2x - 3

59.

What is the slope of the lline parallel to

y = 2x - 7 ?

(a)

60.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

61.

The following represents slopes of two lines. Are they parallel, perpendicular, or neither?

m = 1/5 and m = 1/5

(a)

62.

What type of line is the equation x = 8 ?

a)

vertical

b)

horizontal

c)

neither

63.

What type of line is the equation y = 10 ?

a)

vertical

b)

horizontal

c)

neither

64.

What is the equation of the line graphed?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

65.

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

66.

Line a passes through (0, 3) and (-4, 8)

Line b passes through (0, 5) and (5,9)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

67.

Select ALL of the lines that are PERPENDICULAR to y = 3/4x + 9

a)

y = 3/4x - 3

b)

y = -3/4x + 9

c)

y = -4/3x + 8

d)

3y = -4x + 5

e)

4y = -3x + 7

68.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4(x + 2) + 4

b)

y = (-1/4)(x + 2) + 4

c)

y = 4x - 4

69.

Line j is parallel to the line y = -3(x -5) +7 but has y-intercept (0,-6). Write an equation for line j.

(a)

70.

Line k is perpendicular to the line y = -3(x -5) +7 but passes through the point (6,4). Write an equation for line k.

(a)

71.

When using the Power to a Power rule, what are you supposed to do with the exponents? ex. $\left(x^9\right)^{12}$

a)

Add the exponents.

b)

Multiply the exponents.

c)

Subtract the exponents.

d)

Make it $12x^9$

72.

Simplify the following: $\left(4x^3\right)^4$

a)

$16x^7$

b)

$4^4x^7$

c)

$256x^{12}$

d)

$16x^{12}$

73.

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.

\frac{\text{}y^6}{\text{}y^3}

a)

Divide

b)

Add

c)

Multiply

d)

Subtract

74.

Simplify the following: $\frac{2v^5}{8v^3}$

a)

$\frac{v^2}{4}$

b)

$4v^2$

c)

$-6v^8$

d)

$6v^8$

75.

Anything raised to the zero power (except zero) is equal to what?

(a)

76.

Select ALL that are correct.

Simplify the following: $\left(2x^4y^{-3}\right)^{-1}$

a)

$2^{-1}x^{-4}y^3$

b)

$-\frac{2}{x^4y^3}$

c)

$\frac{1}{2x^4y^3}$

d)

$\frac{y^3}{2x^4}$

77.

Simplify the following: $\left(2v\right)^2\cdot2v^2$

a)

$2v^4$

b)

$8v^3$

c)

$2^2v^4$

d)

$8v^4$

78.

Simplify the following
(no negative exponents):

$\left(x^4\right)^{-3}\cdot2x^4$

a)

$\frac{2}{x^8}$

b)

$\frac{2^4}{x^8}$

c)

$\frac{1}{2x^8}$

d)

$2x^{-12}x^4$

79.

Simplify the following
(no negative exponents):
$4a^3b^2\cdot3a^{-4}b^{-3}$

a)

$7a^{-1}b^{-1}$

b)

$\frac{12}{ab}$

c)

$12ab$

d)

$\frac{12}{a^{12}b^6}$

80.

Simplify the following
(no negative exponents):
$\frac{\left(-14\right)^6}{\left(-14\right)^9}$

a)

$\left(-14\right)^{-3}$

b)

$\frac{1}{\left(-14\right)^{15}}$

c)

$\frac{1}{\left(-14\right)^3}$

d)

$\left(-14\right)^{54}$

81.

Simplify the following
(no negative exponents):
$\frac{-48c^2d^4}{8cd}$

a)

$-40cd^3$

b)

$-40c^3d^5$

c)

$\frac{c^3d^5}{6}$

d)

$-6cd^3$

82.

Simplify the following
$7^4\cdot7^{-4}$

(a)

83.

The rule for negative exponents (the apartment rule) says that if an exponent is negative (unhappy) move it to the other floor (downstairs or upstairs) and make the exponent (a) .

84.

Simplify the following
(no negative exponents):

$\frac{xy^7}{x^3y^4}$

a)

$x^4y^{11}$

b)

$x^3y^{28}$

c)

$\frac{y^3}{x^2}$

d)

$\frac{x^4}{y^{11}}$

85.

Simplify the following
(no negative exponents):

$\left(-10a^3\right)^0$

a)

$-10a^3$

b)

$1$

c)

$0$

d)

undefined

86.

Simplify the following
(no negative exponents):

$\frac{2x^4y^7}{-10x^3y^9}$

a)

$\frac{-1x}{5y^2}$

b)

$\frac{-8x}{y^2}$

c)

$-\frac{20x}{y^2}$

d)

$\frac{-20x^7}{y^2}$

MATH 005# Exam 3 Review

Total questions: 86

Worksheet time: 3hrs 57mins

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