Free Printable IM1 Final Review Fall 2022

1.

What is the slope of the line?

a)

2

b)

-3

c)

1/2

2.

What is the slope?

a)

-2/3

b)

4

c)

3

d)

-3

3.

Write the equation in y=mx+b.

a)

y=5x-2

b)

y=-2x+2

c)

y= -2x+5

d)

y=2x+5

e)

None of these

4.

What is the slope of a line that passes through (5, 2) and (3, -4)?

(a)

5.

Is this a function?

(a)

6.

Is this a function? Why?

a)

Yes

b)

No, 4 has to different outputs.

c)

It is a function, for each input there is exactly one output.

d)

No, 1 and 3 have different outputs.

7.

What is the domain?

a)

[-5, infinity)

b)

(-5, infinity

c)

(infinity, -5]

d)

(- infinity, -5]

8.

Evaluate f(x)=3-7(x+10), when f(x)= - 4

a)

-95

b)

-45

c)

45

d)

-39

9.

Solve for x.

a)

8

b)

1

c)

1.5

d)

-3

10.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

11.

Solve for x

a)

5

b)

90

c)

25

d)

10

12.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary, 15

b)

Supplementary, 16

c)

Complementary, 18

d)

Supplementary, 19

13.

Solve for x

a)

20

b)

25

c)

120

d)

180

14.

CHALLENGE: Find the values of x and y.

a)

x=7 ; y=25

b)

x=5 ; y=25

c)

x=7 ; y=5

d)

x=5; y=5

15.

What similarity theorem would you use to prove these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

d)

Not similar

16.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

17.

State the postulate that proves the triangles are similar.

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

18.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

19.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

20.

Find side length X.

a)

22.5

b)

10

c)

9

d)

7.5

21.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

22.

Find the height of the tree.

a)

8 ft

b)

12 ft

c)

13 ft

d)

15 ft

23.

A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.

a)

4 ft

b)

2 ft

c)

8 ft

d)

6ft

24.

Find the value of x.

a)

10

b)

35

c)

8

d)

None of these

25.

a)

7

b)

12

c)

6

d)

4

26.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

27.

Factor the following expression:
$3p^2-39p+90$

a)

$3\left(p-10\right)\left(p-3\right)$

b)

$3\left(p+10\right)\left(p+3\right)$

c)

$3\left(p-10\right)\left(p+3\right)$

d)

$p\left(p-4\right)$

28.

Factor the following expression:
$48x^2+24x+3$

a)

$3\left(4x+1\right)^2$

b)

$3\left(x+5\right)\left(x-5\right)$

c)

$3\left(4x+3\right)\left(4x-3\right)$

d)

$3\left(2x+5\right)\left(2x-5\right)$

29.

Factor the following expression:
$4n^2+20n-24$

a)

$4\left(n-1\right)\left(n+6\right)$

b)

$4\left(n-1\right)\left(n-6\right)$

c)

$n\left(n-9\right)$

d)

$\left(n+3\right)\left(n-3\right)$

30.

8x³ - 18x

a)

2x(4x²-9)

b)

(4x²+3) (2x-3)

c)

2x(2x+3) (2x-3)

d)

PRIME

31.

50m³ - 2m

a)

2m(25m²-1)

b)

2m(5m-1) (5m-1)

c)

2m(5m-1) (5m+1)

d)

PRIME

32.

Factor completely:
-8x² + 10x + 3

a)

(2x - 3) (-4x - 1)

b)

-1 (2x - 3) (4x + 1)

c)

-1 (-2x + 3) (4x + 1)

d)

(-2x - 3) (4x + 1)

33.

Factor the following expression completely:
$5x^2-15x-20$

a)

$5\left(x-4\right)\left(x+1\right)$

b)

$\left(x-4\right)\left(x+1\right)$

c)

$5\left(x-4\right)\left(x-1\right)$

d)

$\left(x-1\right)\left(x-8\right)$

34.

Factor x³ + 11x² + 10x

a)

(x+1) (x+10)

b)

x(x+1) (x+10)

c)

(x²+1) (x+10)

d)

PRIME

35.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

36.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

37.

Which of these can factor using difference of two squares?

a)

144x² - 49y²

b)

x² + 4x - 12

c)

100x² + 20x + 1

d)

14x - 16

38.

Factor $24x^4y-54x^2y$

a)

$6x^2y\left(2x+3\right)\left(2x-3\right)$

b)

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

c)

$6x^2y\left(3x+2\right)\left(3x-2\right)$

d)

$6xy^2\left(2x-3\right)^2$

39.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

40.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

41.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

42.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

43.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

44.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

45.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

46.

What is the green dot on the parabola called?

a)

maximum/ vertex

b)

minimum/vertex

c)

roots

d)

zeros

47.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

48.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

49.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

50.

A parabola is upside-down when a is:

a)

negative

b)

positive

c)

0

d)

infinite

51.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

52.

In the equation

y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

53.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

54.

Find the Vertex: y= -5x²-20x - 26

a)

(-2, -6)

b)

(2, 6)

c)

(6,2)

d)

(3, 6)

55.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

56.

What are the x-intercepts of

y= x²- 9x + 14 ?

a)

(-7,0) and (-2,0)

b)

(7,0) and (-2,0)

c)

(7,0) and (2,0)

d)

(9,0) and (-14,0)

57.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

58.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

59.

Solve for the values of x:
(2x + 5)(5x - 2) = 0

a)

{ -5/2, -2/5 }

b)

{ -5/2, 2/5 }

c)

{ 5/2, 2/5 }

d)

{ 5/2, -2/5 }

60.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

61.

Solve.
n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

62.

Solve
7x² = -21x

a)

x = 3

b)

x = -3

c)

x = 0, 3

d)

x = 0, -3

63.

Solve $9x^2-12x+4=0$

a)

$\left\{6\right\}$

b)

$\left\{\frac{2}{3}\right\}$

c)

$\left\{-6,6\right\}$

d)

$\left\{\pm\frac{2}{3}\right\}$

64.

Solve $3p^2-17p=30-8p$

a)

p=3.5 or p=-2

b)

p=2 or p= -5

c)

p=-2 or p=5

d)

-6, 15

65.

Write an equation in Factored Form, whose solutions are 7 and 3.

a)

y = (x - 7)(x - 3)

b)

y = (x + 7)(x + 3)

c)

y = (x + 7)(x - 3)

d)

y = (x - 7)(x + 3)

66.

Which equation is CORRECT for the graph?

a)

$y=\left(x-1\right)\left(x+2\right)$

b)

$y=\left(x-1\right)\left(x-2\right)$

c)

$y=-\left(x+1\right)\left(x+2\right)$

d)

$y=\left(x+1\right)\left(x-2\right)$

67.

Write a Quadratic equation in Standard Form, whose solutions are $7$ and $3$ .

a)

$y=x^2-10x+21$

b)

$y=x^2+10x+21$

c)

$y=x^2-10x-21$

d)

$y=x^2+10x-21$

68.

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

69.

a)

$y=x^2+4$

b)

$y=-x+4$

c)

$y=-x^2-4$

d)

$y=-x^2+4$

70.

Write the equation of the parabola shown.

a)

y = 2x² + 4x - 5

b)

y = - 2x² - 4x + 5

c)

y = 2x² + 4x + 5

d)

y = 2x² - 4x - 5

71.

Graph the equation $f\left(x\right)=x^2-4x-1$

a)

A

b)

B

c)

C

d)

D

72.

Graph the equation $f\left(x\right)=-x^2+10x-31$

a)

A

b)

B

c)

C

d)

D

73.

Graph the equation $f\left(x\right)=-x^2-12x-35$

a)

A

b)

B

c)

C

d)

D

74.

Graph the equation $f\left(x\right)=-2x^2$

a)

A

b)

B

c)

C

d)

D

75.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

76.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

77.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

78.

Solve using the Quadratic Formula:

2x² + x - 4 = 0

a)

x = -¼ and x = -2

b)

x = 1.19 and x = -1.69

c)

x = 8 and x = -4

d)

x = 1.69 and x = 1.20

79.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

80.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

81.

Identify the values of A, B, and C

3m²- 14 = 11m

a)

A=3, B=-11, C=-14

b)

A=3, B=-14, C=11

c)

A=3, B=11, C=-14

d)

A=3, B=-14, C=11

82.

Simplify √-4

a)

2i

b)

-2i

c)

2

d)

4i

83.

Solve for x using any method:

3x² - 6x + 6 = 0

a)

x = 1± i

b)

x = 3, -6

c)

x = 4.8, 2.7

d)

Undefined

IM1 Final Review Fall 2022

Total questions: 83

Worksheet time: 6hrs 32mins

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