Free Printable MDTP Final Review

1.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

2.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

3.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

4.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

5.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

6.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

7.

What is the value of the expression
x² + y² + x - y
when x = -1 and y = 3

a)

6

b)

8

c)

12

d)

16

8.

Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y

a)

22

b)

40

c)

142

d)

-86

9.

Evaluate the expression for the given values. x = 3 ; y = -2 ; z = 4

a)

1

b)

0

c)

-18 / 22 or -9 / 11

d)

-1

10.

What fraction is represented with an 'x' on the number line?

a)

1/8

b)

2/9

c)

1/9

d)

1/4

11.

What fraction is represented at point A?

a)

4/5

b)

3/1

c)

3/4

d)

1/3

12.

What fraction is represented at point C?

a)

3/6

b)

3/7

c)

2/6

d)

3/6

13.

What fraction is represented on the number line?

a)

1/1

b)

2/3

c)

1/2

d)

0/1

14.

Which point is 7/8?

a)

Point C

b)

Point D

c)

Point E

d)

Point F

15.

What fraction is represented at point S?

a)

1/4

b)

2/6

c)

1/5

d)

2/5

16.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

17.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

18.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

19.

What inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

20.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

21.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

22.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

23.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

24.

c + 11/20 = 3/4

a)

4/20

b)

2/5

c)

1/5

d)

4/21

25.

a)

1/7

b)

47/36

c)

7

d)

23

26.

a)

-20/9

b)

20/9

c)

-9/20

d)

9/20

27.

a)

-180

b)

-20

c)

20

d)

180

28.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

29.

a)

-11

b)

11

c)

0

d)

10

30.

a)

24

b)

-4

c)

33

d)

15

31.

-1 - 6x - 6 > -11 - 7x

a)

x > -4

b)

x < -4

c)

x > 4

d)

x < 4

32.

a - 6 ≤ 15 + 8a

a)

a ≤ - 3

b)

a ≥ -3

c)

a ≥ 3

d)

a ≤ -3

33.

30b + 53 ≥ 18b − 83

a)

b≥−34/3

b)

b≥-14 2/3

c)

b>8

d)

-b<12

34.

54x + 64 ≥ 49x + 59

a)

x≥−1

b)

x≤-1

c)

x>9

d)

x<-3

35.

Solve:
14x + 12 < 9x -3

a)

x < -3

b)

x < 5

c)

x < -5

d)

x > 3

36.

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)

37.

convert to slope intercept form:
y - 5 = 3 (x - 2)

a)

y = 3x - 1

b)

y = 3x + 7

c)

y = 3x + 11

38.

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

d)

y=kx

39.

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

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

40.

Write in slope-intercept form
y - 4 = 3(x+3)

a)

y=23x-1/23

b)

y=3x+13

c)

bob

d)

y=13-3x

41.

Write this equation in slope intercept form.

y + 2 = 1/3(x +3)

a)

y = 1/3x + 1

b)

y = 1/3x -1

c)

y +2 = 1/3x +1

d)

It's already in slope intercept form

42.

Write this equation in slope intercept form.

y - 3 = 2(x -1)

a)

y = 2x + 1

b)

y -3 = 2x -2

c)

y = 2x -5

d)

y = 2x -1

43.

Write this equation in slope intercept form.

y - 4 = -1(x + 1)

a)

y = -x + 5

b)

y - 4 = -x -1

c)

y = -x + 3

d)

It is already in slope intercept form

44.

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

a)

y=-1x+3

b)

y=4x+3

c)

y=¼x+3

d)

y=-4x+3

45.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

46.

Which equation represents the graph?

a)

y = 3x + 15

b)

y = 1/5 x + 15

c)

y = -1/5 x + 3

d)

y = 15x + 3

47.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

48.

slope intercept form

a)

y = -x + 1

b)

y = x - 1

c)

y = x + 1

d)

y = -x - 1

49.

Write the equation that best matches the graph shown.

a)

y = 4x

b)

y = 4x - 3

c)

y = 4/3 x + 4

d)

y = 4/3 x - 3

50.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

51.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

52.

x-y=11
2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

53.

Solve this system of equations
2x+y=9
y=5x+2

a)

(1,7)

b)

(2,5)

c)

(-1,-3)

d)

(5,-1)

54.

y = -2x + 18
y = 8

a)

(5, 8)

b)

(-5, 8)

c)

(2, 8)

d)

(-2, 8)

55.

Solve the system by Substitution.
y=2x
x + y = 9

a)

(6, 3)

b)

(3, 6)

c)

(-3, -6)

d)

no solution

56.

Who is this?

a)

Thunder McStickers

b)

Rumbles O'Hoolihan

c)

Lightning McQueen

d)

Lightning McQuest

57.

Who is this?

a)

Batz

b)

Buzz

c)

Fuzz

d)

Wuzz

58.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

59.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

60.

(a⁵)⁶

a)

30a

b)

a¹¹

c)

a³⁰

d)

11a

61.

(g⁵)⁸

a)

g¹³

b)

5g⁸

c)

g⁴⁰

d)

8g⁵

62.

(k⁷)²

a)

k¹⁴

b)

k⁹

c)

7k²

d)

2k⁷

63.

a)

x⁴

b)

x⁸

c)

x¹²

d)

x²⁰

64.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

65.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

y²⁰

b)

y³

c)

y²⁶

d)

3y

68.

What movie is Donkey from?

a)

Beauty and the Beast

b)

Grease

c)

Shrek

d)

Hungar Games

69.

What are you wearing?

a)

Under Armor

b)

Underoos

c)

Under Wear

d)

Over Armor

70.

Simplify the expression.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

71.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵

d)

3x²(80x³-40-60x⁵)

72.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

73.

What is the GCF of the trinomial?

6x⁵y⁴ + 24x⁶y² - 36x³y³

a)

6x³y²

b)

6xy

74.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

75.

63x⁴ - 7x² + 28x

a)

7x(9x² - 7 + 4x)

b)

x(63x³ - 7x + 28)

c)

7x(9x³ - x + 4)

d)

can't be factored

76.

(3a + 4)²

a)

9a²+12a+16

b)

9a²+24a+16

c)

9a²+12a+8

d)

9a²+24a+8

77.

Factor

a)

A

b)

B

c)

C

d)

D

78.

Factor

a)

A

b)

B

c)

C

d)

D

79.

Factor

a)

A

b)

B

c)

C

d)

D

80.

Simplify:
(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

81.

Simplify:
(x - 9)(x - 7)

a)

x² - 2x - 63

b)

x² - 16x - 63

c)

x² - 2x + 63

d)

x² - 16x + 63

82.

Simplify
(p − 8)²
Hint: (p − 8)² = (p − 8)(p − 8)

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

83.

Find the product:
(y - 3)(y + 7)

a)

y² - 21

b)

y² + 10x - 21

c)

y² + 4y - 21

d)

2y - 10

84.

Find the product:
(n - 5)(n - 1)

a)

n² - 5n + 5

b)

n² - 6n + 5

c)

n²+ 5

d)

n² + 6n + 5

85.

Find the product:
(x + 5)(x - 4)

a)

x² + 9x + 20

b)

x² + 9x - 20

c)

x² + 1x - 20

d)

x² - 1x - 20

86.

The two solutions to
y = 2x² -x -3 are...

a)

1 and 3/2

b)

-1 and 3/2

c)

-1 and -3/2

d)

1 and -3/2

87.

What are the solutions to
v² + 6v + 5 = 0

a)

(1,0) and (0,0)

b)

(5, 0) and (-7, 0)

c)

(-5, 0) and (-1, 0)

d)

(6,0) and (0,0)

88.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

89.

What are the two solutions to x² - 4 = 0

a)

x = 2 and x = -2

b)

x = 4 and x = - 4

c)

x = 2 and x = -4

d)

x = 2 and x = 2

90.

Which of the following is a solution to the function? (x - 8)(x - 9) = 0

a)

8

b)

-9

c)

-17

d)

0

91.

Solve for the values of x:
(x - 3)(x + 6) = 0

a)

{ -3, -6 }

b)

{ 3, -6 }

c)

{ -3, -6 }

d)

{ 3, 6 }

92.

Factor by GCF & perfect squares:
(169x-4x³)

a)

x(13+x²)(13-x²)

b)

x(13+2x)(13-2x)

c)

(12+2x)(12-2x)

93.

Solve the following binomial:
4x²-16x=0

a)

x=0 & x=-4

b)

x=0 & x=4

c)

x= 4 & x=16

94.

x²- 225

a)

( x + 15) ( x + 15)

b)

Prime

c)

( x - 15) ( x + 15)

d)

( x - 15) ( x - 15)

95.

4x²- 64y²

a)

Prime

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

96.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

97.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

98.

a)

A

b)

B

c)

C

d)

D

99.

a)

A

b)

B

c)

C

d)

D

100.

√18 + √2

a)

√20

b)

4√5

c)

4√2

d)

10√2

101.

2√5 + 4√5 =

a)

6√10

b)

8√10

c)

8√5

d)

6√5

102.

√5 + √20

a)

5

b)

25

c)

3√5

d)

2√3

103.

See image.

a)

A

b)

B

c)

C

d)

D

104.

3√75 + 2√12

a)

No Can Do

b)

15√3

c)

19√3

d)

5√87

105.

√28 + 4√63 − 2√7

a)

no can do

b)

12√21

c)

12√7

d)

84

106.

8) Distribute and simplify

a)

5√6 + 3√10

b)

√150 + √90

c)

10√15 + 10√9

d)

10√15 + 30

107.

SIMPLIFY

a)

A

b)

B

c)

C

d)

D

108.

Simplify.

a)

1/(n-7)

b)

n-7

c)

(n-6)/(n-7)

d)

n-6

109.

Simplify
Hint:(bottom is dif of square)

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

110.

a)

6/(5x),
x≠0

b)

(x-4)/(x-2),
x≠-2

c)

(x+3)/(x+2),
x≠-2, 4

d)

(x+3)/(x-4),
x≠-2, 4

111.

a)

A

b)

B

c)

C

d)

D

112.

a)

A

b)

B

c)

C

d)

D

113.

a)

A

b)

B

c)

C

d)

D

114.

a)

A.

b)

B.

c)

C.

d)

D.

115.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

116.

Find the measure of each angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

117.

Does a triangle with these side lengths exist?
28, 41, 13

a)

Yes

b)

No

c)

I don't know.

118.

Does a triangle with these side lengths exist?
47, 28, 70

a)

Yes

b)

No

c)

I don't know.

119.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

120.

Find the measure of the missing angle.

a)

8^o

b)

58^o

c)

122^o

d)

64^o

121.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

122.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

123.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

124.

solve for c

a)

7

b)

9

c)

4

d)

13

125.

Why was 6 afraid of 7?

a)

Because it has no curves

b)

Because 7 ate 9

126.

who are they

a)

rainbow kids

b)

Zap Kids

c)

into the future

d)

teletubbies

127.

What is this tv show

a)

Cinderella

b)

powerpuff girls

c)

that's so raven

d)

frozen

128.

who is he

a)

red

b)

clifford the big red dog

c)

dog

d)

mary

129.

Who is Elsa's sister in Frozen?

a)

Anna

b)

Olaf

c)

Hans

d)

Sven

130.

What is the princesses name?

a)

Ariel

b)

Rapunzel

c)

Jasmine

d)

Belle

131.

What movie is this picture from?

a)

Finding Nemo

b)

Finding Math

c)

Finding Dory

d)

Finding Mrs. Nagy

132.

What is the monkey's name in The Lion King?

a)

Rafiki

b)

Mufasa

c)

Zazu

d)

Simba

133.

What is the dog's name?

a)

Goofy

b)

Donald

c)

Pluto

d)

Minnie

134.

What is the snowman's name?

a)

Frosty

b)

Sven

c)

Olaf

d)

Hans

135.

Who are they?

a)

Boy Genius, Dexter

b)

Laboratory of Dexter

c)

Dexter's laboratory

d)

Dexter, boy genius

MDTP Final Review

Total questions: 135

Worksheet time: 7hrs 29mins

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