Free Printable A1 M3 U1 Review

Worksheets

A1 M3 U1 Review

Total questions: 74

Worksheet time: 4hrs 42mins

Name

Class

Date

Name the transformation.

Translation

Reflection

Rotation

Identify the transformation from ABC to A'B'C'.

90^o clockwise rotation

90^o counter clockwise rotation

Reflection across the y-axis

Reflection across the x-axis

Point (-5,2) is reflected over the y axis. Where is the new point located?

(5,2)

(-5,-2)

(-5,2)

(5,-2)

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

(-5,-6)

(5,-6)

(6,5)

(-6,5)

What is the equation of this line?

y = -x + 2

y = x + 2

y = -x - 2

y = x - 2

What is the equation of this line?

y = -x + 3

y = x + 3

y = -x - 3

y = x - 3

What is the equation of this parabola?

Hint: y=x^2 is the parent function

y = (x - 1)² - 2

y = (x + 1)² - 2

y = (x - 2)² + 1

y = (x + 2)² - 1

y = (x - 2)² + 4

y = -(x - 4)² + 2

y = -(x - 2)² + 4

y = -(x + 2)² + 4

What is the equation of this function?

Hint: y=|x| is the parent function

y = Ix + 3I - 1

y = Ix - 3I - 1

y = Ix + 1I + 3

y = Ix - 1I + 3

10.

y = Ix + 2I - 1

y = -Ix + 2I - 1

y = -Ix - 2I - 1

y = -Ix + 1I - 2

11.

horizontal trans left 15, vertical trans down 10

horizontal trans right 15, vertical trans down 10

horizontal trans right 15, vertical trans up 10

horizontal trans left 15, vertical trans up 10

12.

horizontal shift right 8, vertical reflection (flip over x-axis)

horizontal shift left 8, vertical reflection (flip over x-axis)

horizontal shift right 8, horizontal reflection (flip over y-axis)

horizontal shift left 8, horizontal reflection (flip over y-axis)

13.

vertical trans down 12, vertical reflection (flip over x-axis)

vertical trans up 12, vertical reflection (flip over x-axis)

vertical trans down 12, horizontal reflection (flip over y-axis)

vertical trans up 12, horizontal reflection (flip over y-axis)

14.

15.

16.

17.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

18.

How many of these sequences have a common difference of -4?

-19, -15, -11, -7, -3,...

19, 15, 11, 7, 3...

3, 7, 11, 15, 19...

-3, 7, -11, 15, -19,...

19.

What number follows 20 in this arithmetic sequence?

8,11, 14, 17, 20

20.

Find the next four terms of the arithmetic sequence 16, 24, 32,...

40, 48, 56, 64

36, 40, 44, 48

35, 40, 45, 50

40, 44, 50, 56

21.

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

22.

What is the difference between an arithmetic sequence and a geometric sequence?

One is the sum of the numbers and one is just a list of numbers.

One has a common difference and one has a common ratio.

One you can write an nth term and one you cannot.

None of these are correct.

23.

What is the 100th term in the sequence f(n)= 4n-12

388

40012

-388

100

24.

The next term of the series 4,16,64 is

256

132

120

150

25.

Write a formula for the following sequence:

5, 8, 11, 14, 17...

a_n = 3n + 2

a_n = 8 - 5n

a_n = 5(3)^n-1

a_n = 5 + 3n

26.

Write a formula for the following sequence:

2, 8, 14, ...

a_n= 2 + 6n

a_n= - 6 + 6n

a_n= 6n - 4

a_n= 4 - 6n

27.

Identify the common difference.
97, 86, 75, 64, ...

-11

-8

28.

Find the 22nd term of the following sequence:
5, 8, 11, ...

29.

What is the rule (explicit equation) for the n^th term given
60, 55, 50, 45, ...

a_n= -5+60n

a_n= -5n+55

a_n= -5n+65

a_n= 5n+55

30.

Find the first term of the given sequence:
a₁₄=68
d=3

31.

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

-16, -21, -26, -31

5, -11, -27, -43

-16, -80, -500, -200

-16, -11, -6, -1

32.

Which of the following recursive formulas represents the given sequence.

7, 14, 28, 56, 112, ...

$a_1=7$ , $a_n=a_{\left(n-1\right)}+7$

$a_1=7$ , $a_n=a_{\left(n-1\right)}\cdot7$

$a_1=7$ , $a_n=a_{\left(n-1\right)}\cdot2$

$a_1=7$ , $a_n=a_{\left(n-1\right)}+14$

33.

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

y-intercept

slope

macaroni

nothing

34.

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

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

35.

Which of these represents standard form of a linear equation?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

36.

Which equation is written in standard form?

6y = x + 5

y-1 = 7(x - 2)

y = 1/2x + 15

2x + 3y = 18

37.

What is the slope in the equation: y=4x+3

38.

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

-4

-4x

-5

39.

If m=3 and b=6, what is the correct slope intercept equation?

y=3-6

y=3x-6

y=3x+6

y=6x+3

40.

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

(-4, 3)

(3, -4)

(-3, -4)

(-4, -3)

41.

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

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

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

y+ 7 = 4(x - 4)

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

42.

What form of linear equation is this?

Slope-Intercept

Point-Slope

Standard

43.

What form of linear equation is this?

Slope-Intercept

Point-Slope

Standard

44.

Which statement best describes "b"?

x-intercept

y- intercept

Slope

Bee

45.

Convert to slope intercept

y = − 6 /5 x − 3

y = − 6/ 5 x + 3

y = 3/5x + 6

y = 3/5x - 6

46.

Convert to slope intercept

y = 11/ 4 x − 8

y = 11 /4 x + 8

y = 2x -4

y=2x+4

47.

Convert to slope intercept

y = 1/ 3 x − 2

y = -1/ 3 x − 2

y=2x -6

y=2x+6

48.

Which is the correct equation for the graph?

y=4x+4

X+Y=4

Y=4x-4

X -Y= 4

49.

Match the graph to the equation

y=4/3x-4

x+y=-4

4x+3y=1

y=-4/3x-4

50.

Match the graph to the equation

y= 3/5x - 1

X-Y=1

3x-5y=1

y= -3/5x - 1

51.

Match the graph to the equation

y=3x-2

3x-2y=1

x-y=3

y=-3x-2

52.

I have $38 in 5's and 1's
If I have 8 1's, then how many 5's do I have?

53.

A Taxi driver's pay was charging at the following rates x- miles driven y-total cost (2,11) (5,21.5) Find and equation that describes how much he charges. Hint: Find the slope

y=3.5x+4

y=3x+5.5

y=2.5x+7

y=3x-4

54.

Write in standard form.
4x - 2y + 3 = 7 - 4y

4x + 2y = 4

4x - 6y = 10

4x + 6y = 4

4x -2y = 4

55.

Write the standard form equation of a line that is parallel to 7x - 2y =14 and passes through (2, 3)

x + y = 14

2x - 7y = 14

7x - 2y = 8

7x + 2y = 20

56.

Give the slope and y-intercept
6x - 3y = -9

slope is 6
y-intercept is 9

m=2
b=3

slope is 2
y-intercept is -3

m = 3
b = 2

57.

Write the following equation in slope intercept form:
y + 2 = -3(x - 5)

y = -3x + 17

y = -3x + 13

y = -3x - 13

y = -3x - 17

58.

How do you change
y-4=3(x+3)
into slope-intercept form?

y=23x-1/23

y=3x+13

y-7x=9

y=13-3x

59.

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

(-4, 3)

(3, -4)

(-3, -4)

(-4, -3)

60.

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

y - 3 = 1(x - 2)

y + 3 = 1(x + 2)

y -3 = -1(x + 2)

y + 3 = -1(x - 2)

61.

Write the standard form of an equation that is perpendicular to 2x - 5y = 10 and passes through (-2, 1).

2x + 5y = 1

2x - 5y = -9

5x + 2y = -8

5x - 2y = -12

62.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

-2

1/2

-1/2

63.

What would the graph of x = 6 look like?

Vertical

Horizontal

Slanting from right to left

Slanting from left to right

64.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

y = 2/3x +3

y = -1/3x + 3

y = 1/3x + 3

y = -5/3x + 3

65.

Write the equation of point slope form given the following
(2,6), (5, 18)

y-2=4(x-6)

y-6=4(x-2)

y+2=4(x+6)

y+6=4(x+2)

66.

What is the slope a horizontal line?

-1

undefined

67.

Write the equation for the table given

y = 1/3x

y = 3x

y = 1/2x

68.

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

(8, 0)

(0, 8)

(3, 0)

(0, 3)

69.

A newspaper charges $10 for the first 2 lines of text and $3 for each additional line of text. Write an equation in point-slope form.

y - 10 = 3(x - 2)

y - 2 = 3(x - 10)

2x + 10y = 3

y - 10 = 2 (x - 3)

70.

John gets a new job and receives a $500 signing bonus. After that, he makes $200 a day. Write an equation in slope-intercept form.

y = 200x + 500

y = 500x + 200

y = 500x - 200

y = 200x - 500

71.

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

72.

What is the x and y intercept for the following equation ?
4x - 10y = 20

x - int = 4
y-int = -10

x-int = 5
y-int = 2

x - int = 5
y int = -2

x -int = 4
y -int = -10

73.

What is the x-intercept of
x+4y=7?

(7/4, 0)

(0, 7/4)

(7, 0)

(0,7)

74.

Which equation best represents the relationship between x and y in the table shown?

y= 5x+5

y=1/5x+5

y=15x+5

y=10x+5

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A1 M3 U1 Review

Total questions: 74

Worksheet time: 4hrs 42mins

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