Free Printable 8B - Practice Questions

1.

Simplify the following expression:
-9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

2.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

3.

Simplify the Expression: 5(x + 2) + 2x

a)

7x + 2

b)

7x + 10

c)

5x + 4

d)

7x + 7

4.

Simplify the expression: -5(x + 4)

a)

5x + 4

b)

-5x + 4

c)

-5x - 20

d)

-5x + 20

5.

Simplify the Expression: 3(x - y + 5)

a)

3x - 3y + 8

b)

3xy + 15

c)

3x + 3y + 8

d)

3x - 3y + 15

6.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

7.

Add to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

8.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

9.

The expression 2r + 16 is the same as...

a)

r + r + 12 + 3

b)

r + r + 9 + 7

c)

2r + 16 - 1

d)

r + 16

10.

A(n) __________________ consists of one or more numbers, variables, and operations.

a)

numeric expression

b)

term

c)

variable

d)

algebraic expression

11.

A(n) __________________ is a number and/or variable that is separated by addition or subtraction.

a)

variable

b)

term

c)

coefficient

d)

expression

12.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

13.

A __________ is the numerical term in an algebraic expression.

a)

Variable

b)

Constant

c)

Term

d)

Coefficient

14.

A ___________ is the numerical factor of a variable term in an algebraic expression.

a)

term

b)

coefficient

c)

variable

d)

constant

15.

Solve
b³ + (-4)
When b = (-3)

a)

Negative 23

b)

Positive 31

c)

Postive 23

d)

Negative 31

16.

Which expression is equivalent to

3x + ½(-12x - 16)

a)

-21x + (-32)

b)

9x + 8

c)

-3x - 8

d)

-6x - 8

17.

Ms. Carmean simplified the expression 3(2x-4) - 3 to 6x -7. Is she correct?

a)

Yes

b)

No

18.

a)

10 / 14a⁴

b)

21 / 49a⁴

c)

3 / a⁴

d)

3 / 7a⁴

19.

a)

1 / 5p

b)

12 / 50p

c)

2 / 10p

d)

8 / 16p

20.

a)

28p⁷ / 54p

b)

11p¹² / 54p

c)

14p¹¹ / 27

d)

14p⁶ / 27

21.

a)

7v²(v + 1) / 10

b)

(v + 1)

c)

1 / 10

d)

(v + 1) / 10

22.

a)

1

b)

(x - 8) / (x + 5)

c)

(x - 5) / (x + 5)

d)

(x + 1) / (x + 5)

23.

a)

7(r + 2)/ (r + 2)

b)

(r - 8) / (r + 2)

c)

(r + 2) / 7

d)

(r - 8) / 7

24.

a)

(v + 9) / 8

b)

(v - 1) / 8

c)

1 / 8

d)

(v + 9) / 8

25.

a)

(n + 4) / 10n

b)

(n + 4) 10

c)

1 / (n - 7)

d)

(n - 7) / 10n

26.

a)

(x + 9)

b)

(x - 3) / (x + 2)

c)

(x + 9) / (x + 2)

d)

(x - 3)

27.

a)

5x / 3

b)

10x / (x - 8)

c)

10x

d)

6x(x - 8) / 6x

28.

\left(x+2\right)\left(x-5\right)=x^2-3x-10

a)

TRUE

b)

FALSE

29.

\left(y-4\right)\left(y+5\right)=y^2-y-20

a)

TRUE

b)

FALSE

30.

\left(2x-y\right)\left(3x+4y\right)=6x^2+5xy-4y^2

a)

TRUE

b)

FALSE

31.

A(n) ______________ is a statement that two mathematical expression are equal

a)

equation

b)

inverse operation

c)

solution of an equation

d)

expression

32.

Multiplying 5 and dividing 5 are ________________.

a)

equations

b)

inverse operations

c)

solutions of an equation

d)

expressions

33.

Write an equation for the word sentence:
Three times the cost is $24.

a)

3c=24

b)

24c=3

c)

c+3=24

d)

c-3=24

34.

Solve the equation:
t ÷ 4 = 16

a)

t = 4

b)

t = 12

c)

t = 20

d)

t = 64

35.

What is a like term?

a)

Terms that have the same variable and exponent

b)

The degree of a term

c)

The number beside the variable

36.

Simplify:

\frac{4x^4}{10x^2}

a)

$\frac{2}{5x^6}$

b)

$\frac{2x^6}{5}$

c)

$\frac{2}{5x^2}$

d)

$\frac{2x^2}{5}$

37.

\frac{7m^2}{8m}\div\frac{9}{8m^2}=

a)

$\frac{7}{4}$

b)

$\frac{1}{20}$

c)

$\frac{7m^3}{9}$

d)

$\frac{9}{14x^2}$

38.

All are the following steps in multiplying rational algebraic expression except

a)

Simplify if possible

b)

Factor out the numerator and denominator

c)

Cancel out common factors

d)

Get the reciprocal of the second given

39.

$\frac{x}{x+3}+\frac{3}{x+3}=$

a)

$x^2$

b)

$\frac{3x}{x\ +\ 3}$

c)

1

d)

$\frac{3x}{3x}$

40.

$Add:\ \frac{2x}{10x^2}\ and\ \frac{3x}{10x^2}$

a)

$\frac{5x}{10x^2}$

b)

$\frac{1}{2x}$

c)

$\frac{x}{2}$

d)

$\frac{2x}{1}$

41.

$\frac{3x\ +\ 4}{x^2\ -\ 16}\ -\ \frac{2x}{x^2-16}=$

a)

$1$

b)

$\frac{x+4}{x^2-16}$

c)

$\frac{1}{x-4}$

d)

$\frac{1}{x+4}$

42.

$\frac{3x\ +\ 4}{x^2\ -\ 16}\ -\ \frac{2x}{x^2-16}=$

a)

$1$

b)

$\frac{x+4}{x^2-16}$

c)

$\frac{1}{x-4}$

d)

$\frac{1}{x+4}$

43.

Solve by cross-multiplying

a)

x = 6

b)

x = -6

c)

x = 6/7

d)

x = -6/7

44.

Solve by cross-multiplying.

a)

x = 2

b)

No Solution

c)

x = -10

d)

x = 10

45.

Identify the LCD.

a)

(x + 5)

b)

x²(x + 5)

c)

x

d)

x(x + 5)

46.

Solve by using the LCD.

a)

x = 4/3

b)

x = 2

c)

x = 3/4

d)

x = 2/3

47.

Solve by using the LCD.

a)

x = -2, 8

b)

x = 0, 4

c)

x = 2, -8

d)

x = 8

48.

Solve for x

a)

6

b)

17/5

c)

19/2

d)

- 6

49.

Solve for x

a)

x = 10

b)

x = -30/13

c)

x = 6

d)

no solution

50.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

51.

Solve for m
m - n = 5

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

52.

Solve for a.
P = W/a

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

53.

What would be the first step in order to solve the equation?
38 = m - 15

a)

Subtract 15 from both sides

b)

Add 15 to both sides

c)

Multiply both sides by 15

d)

Divide both sides by 15

54.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

55.

E = mc²solve for m

a)

m = sqrt(E/c)

b)

m = sqrt(E)/c

c)

m = E/c²

d)

m = money

56.

Solve:
A = πr² , for r

a)

√(A/π) = r

b)

√(A + π) = r

c)

√(A - π) = r

d)

√(Aπ) = r

57.

a)

f = (w - k) / Z

b)

f = (w + k) / Z

c)

f = (wk) / Z

d)

f = Zw-Zk

58.

a)

L = r / (2A)

b)

L = 2A + r

c)

L = 2A - r

d)

L = (2A) / r

59.

Simplify the following.

$\frac{\left(x+2\right)\left(x+3\right)}{2\left(x+2\right)^2}$

a)

$\frac{\left(x+3\right)}{2\left(x+2\right)^2}$

b)

$\frac{x+3}{\left(x+2\right)}$

c)

$\frac{x+3}{2}$

d)

$\frac{x+3}{2\left(x+2\right)}$

60.

Figures that have the same _____ and size are congruent triangles.

a)

corresponding

b)

corners

c)

angles

d)

shape

61.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

62.

Choose the correct item to make the congruence statement true.

a)

A

b)

B

c)

C

d)

D

63.

a)

4m

b)

5m

c)

3m

d)

4.5m

64.

a)

A

b)

B

c)

C

d)

D

65.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

66.

a)

A

b)

B

c)

C

d)

D

67.

Which is NOT a true statement?

a)

FG ≅ GH

b)

AB ≅ DC

c)

BA ≅ GH

d)

XY ≅ WZ

68.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

69.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

70.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

71.

If Δ ABC ≅ Δ DEF , which angle is congruent to angle B?

a)

∠E

b)

∠D

c)

∠C

72.

What would be the correct "given" statements for this diagram?

a)

T is the midpoint of segment BG and
∡B≅∡G

b)

∡B≅∡G and ∡A≅∡W

c)

T is the midpoint of segment BG and ∡A≅∡W

d)

T is the midpoint of segment AW and ∡A≅∡W

73.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

m∠T = m∠V

b)

m∠U = m∠W

c)

m∠TXU = m∠VXW

d)

TX = VX

e)

TU = VW

74.

What are matching sides of similar figures?

a)

Corresponding Sides

b)

Corresponding Angles

c)

Scale Factor

75.

What is corresponding congruent angles and proportional sides?

a)

Similar Figures

b)

Scale Factor

c)

Congruent Shapes

76.

The pair of figures is similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

77.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

24 feet

b)

21 feet

c)

27 feet

d)

32 feet

78.

A scale drawing of a flagpole has a scale of 1 in.= 4 ft. If the drawing of the pole measures 12 inches, how tall is the actual pole?

a)

16 feet

b)

3 feet

c)

48 feet

d)

9 feet

79.

Find missing side.

a)

1/5

b)

5

c)

7

d)

1/7

80.

Which of the following is NOT true about similar figures?

a)

A) Similar figures always have the same shape.

b)

B) Similar figures always have the same size.

c)

C) Similar figures always have corresponding angles that are equal.

d)

D) Similar figures always have corresponding sides that are proportional.

81.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

82.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

83.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

84.

Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 80⁰,40⁰

a)

Yes

b)

No

c)

There is not enough information to decide.

85.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

86.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 63

d)

x = 7

87.

What is the value of X?

a)

X=4

b)

X=6

c)

X=3

d)

X=2

88.

Use the picture to answer the question.

a)

30

b)

60

c)

15

d)

120

89.

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

a)

sides

b)

vertices

c)

angles

d)

measures

90.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

91.

The sum of all three angles in a triangle is 180 degrees.

a)

True

b)

False

92.

Solve for x.

a)

x = 5

b)

x = 20

c)

x = 3

d)

x = 9

93.

∆ABC ≅ ∆LMN. Which statement is NOT true?

a)

LM ≅ AB

b)

∆CAB ≅ ∆NLM

c)

∠C ≅ ∠N

d)

BC ≅ ML

94.

PR≅RT

a)

TRUE

b)

FALSE

95.

QP≅ST

a)

TRUE

b)

FALSE

96.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

97.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

98.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

99.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

100.

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

a)

26.5 yards

b)

10 yards

c)

50 yards

d)

46.7 yards

101.

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

a)

65 miles

b)

89 miles

c)

45.4 miles

d)

We don't have enough information.

102.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

103.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

104.

What is the length of the hypotenuse?

a)

33.5 cm

b)

45 cm

c)

6.7 cm

d)

15 cm

105.

How far does the catcher throw the ball from home plate to 2nd base?

a)

63.6 ft

b)

16,129 ft

c)

13.4 ft

d)

127.3 ft

106.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

107.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

108.

a)

A

b)

B

c)

C

d)

D

109.

a)

A

b)

B

c)

C

d)

D

110.

a)

A

b)

B

c)

C

d)

D

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.

a)

A

b)

B

c)

C

d)

D

116.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

117.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

118.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

119.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

120.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

121.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

122.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

123.

cos 87

a)

.05

b)

.569

c)

.0523

d)

.5700

124.

tan 51

a)

1.2349

b)

.9030

c)

.9

d)

1.23

125.

sin 8

a)

.2011

b)

.1987

c)

.3456

d)

.1391

126.

Which triangle below shows the ratio as $\tan\ \left(x\right)=\frac{c}{a}$ ?

a)

b)

c)

127.

Which triangle below shows the ratio as $\cos\ \left(x\right)=\frac{a}{c}$ ?

a)

b)

c)

128.

Which triangle below shows the ratio as $\sin\left(x\right)=\frac{b}{c}$ ?

a)

b)

c)

129.

Which triangle below shows the ratio as $\cos\ \left(x\right)=\frac{u}{v}$ ?

a)

b)

c)

130.

Which triangle below shows the ratio as $\tan\ x=\frac{t}{v}$ ?

a)

b)

c)

131.

Which triangle below shows the ratio as $\tan\ \left(x\right)=\frac{t}{u}$ ?

a)

b)

c)

132.

Which scenario describes the picture shown?

a)

A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?

b)

A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?

c)

An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?

d)

A 5 foot man is 8 feet away from a building. What is the angle of elevation?

133.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

134.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

135.

Fernando wants to find the height of an oak tree in his yard. If Fernando stands 85 ft away from the tree, and his eye line is 6 ft from the ground, then how tall is the tree?

Round your answer to the nearest foot.

a)

111

b)

117

c)

62

d)

68

136.

Emma wants to find the height of a tower. If she stands at a distance of 100 ft from the tower and is 5 ft tall, then how tall is the tower?

Round your answer to the nearest foot.

a)

171

b)

166

c)

65

d)

60

137.

How many meters are the clouds above the ground?

Round your answer to the nearest tenth.

a)

247.5

b)

249.0

c)

404.0

d)

405.5

138.

How many meters are the clouds above the ground?

Round your answer to the nearest tenth.

a)

247.5

b)

249.0

c)

404.0

d)

405.5

139.

Find the value of c.

a)

19.43

b)

31

c)

15.16

d)

24.24

140.

Find the value of c.

a)

24.7

b)

28.2

c)

23.4

d)

25.3

141.

Find the value of a.

a)

13.35

b)

12.91

c)

13.05

d)

12.83

142.

What is the measure of angle A?

a)

50 degrees

b)

60.63 degrees

c)

77.78 degrees

d)

74.5 degrees

143.

Find the missing angle θ

a)

27.98^o

b)

29.24^o

c)

26.75^o

d)

45^o

144.

Find the length of BD.

Hint: Use SOH-CAH-TOA

a)

35.2

b)

24

c)

75.5

d)

51.5

145.

a)

10.05 cm

b)

7.24 cm

c)

8.53 cm

d)

9.23 cm

8B - Practice Questions

Total questions: 145

Worksheet time: 9hrs 46mins

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