Free Printable MTH1W Exam Review

1.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

2.

(4x+1) - (5x−2)

a)

9x + 3

b)

20x² − 3x - 2

c)

x² + 3

d)

-x + 3

3.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

4.

3x^2\ +\ 4x\ +\ x^2\ -\ 6x

a)

$4x^2\ -\ 2x$

b)

$-2x\ +\ 4x^2$

c)

$2x$

d)

$2x^2$

5.

Simplify:

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

6.

(3x² + 6x - 1) + (4x² + 5x + 9)

a)

-x² + x - 10

b)

x² - x + 10

c)

7x² + 11x + 8

d)

7x² + 11x + 10

7.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

8.

Simplify:

$\frac{45x^6y^8}{5x^4y^7}$

a)

$9x^2y$

b)

$40x^2y^1$

c)

$9x^2$

d)

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

9.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

10.

Simplify:
(9n⁴)(6n⁷)

a)

54n¹¹

b)

15n¹¹

c)

15n²⁸

d)

54n²⁸

11.

a)

A

b)

B

12.

A binomial has how many terms?

a)

1

b)

2

c)

3

d)

4

13.

Simplify the expression: 7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

14.

Add these expressions
(x+5) + (2x+10)

a)

3x+15

b)

x-5

c)

18x

15.

Which expression is FULLY simplified?

a)

A

b)

B

c)

C

d)

D

16.

a)

23 cm

b)

289 cm

c)

17 cm

d)

7 cm

17.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

18.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

19.

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

20.

Which statement best describes the relationship shown in this scatter plot?

a)

Students with a bigger shoe size earn a higher math score

b)

Students with a smaller show size earn a higher math score

c)

A student's shoe size has no effect on their math score

d)

A student with a shoe size of 8 will always earn a score of 80%

21.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

22.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

23.

Find the mean:
28, 18, 19, 18, 17

a)

20

b)

18

c)

11

d)

19

24.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

25.

What is the median of the data?

a)

10

b)

12

c)

13

d)

14

e)

18

26.

What is the range of the data?

a)

80

b)

10

c)

70

d)

40

e)

30

27.

What percent of the data falls between 8 and 10 absences?

a)

0%

b)

25%

c)

50%

d)

75%

e)

100%

28.

Dara makes bracelets and sells them in her shop. Which is a fixed expense for Dara’s business?

a)

the cost of the beads

b)

the cost of the string

c)

the cost of advertising

d)

rent for her shop

29.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

30.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

31.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

32.

Rewrite using a positive exponent.
(-5)^-4

a)

(-5)⁴

b)

¹/_(-5)^-4

c)

¹/_(-5)⁴

d)

-625

33.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

34.

Write with positive exponents:

a)

a^-2

b)

a²

c)

$\frac{1}{a^2}$

d)

2a

35.

Simplify the expression so that it contains only positive exponents.

a)

$\frac{1}{3x^3}$

b)

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

c)

$\frac{1}{-3x^3}$

d)

$\frac{1}{27x^3}$

36.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

37.

To get rid of a negative exponent you need to...

a)

Just erase it

b)

Find the reciprocal

c)

Multiply it by a negative

d)

Add a one to it

38.

What features do all right triangles have in common?

a)

Two legs and a hypotenuse

b)

Two equal sides and two equal angles

c)

Two 90-degree angles

d)

Three sides of equal length

39.

If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?

a)

The triangle is not a right triangle

b)

The hypotenuse is either too long or too short

c)

The interior angles of the triangle do not add up to 180 degrees

d)

The triangle contains an obtuse angle

40.

Where can you find the hypotenuse of a right triangle?

a)

Opposite the acute angle

b)

Opposite the longer leg

c)

Opposite the shorter leg

d)

Opposite the right angle

41.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

42.

Solve for x

a)

57

b)

54

c)

18

d)

19

43.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

44.

Lines A and B are parallel lines cut by a transversal. Find the value of x.

a)

x = 8

b)

x = 13

c)

x = 74

d)

x = 106

45.

A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?

a)

40 and 40

b)

65 and 115

c)

40 and 140

d)

75 and 105

46.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

47.

Solve for angle 2

a)

55

b)

50

c)

150

d)

125

48.

Solve for angle 1

a)

120

b)

145

c)

35

d)

20

49.

Solve for angle 2

a)

20

b)

120

c)

35

d)

145

50.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

51.

What is the name of this kind of triangle?

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

52.

What is the area of the composite figure?

a)

40 sq cm

b)

65 sq cm

c)

52.5 sq cm

d)

25 sq cm

53.

Find the perimeter of this shape

a)

$3\pi+6\ inch$

b)

$9\pi\ inch$

c)

$12\ inch$

d)

$6\ inch$

54.

Find the area of the shaded region

a)

108π

b)

432π

c)

72π

d)

54π

55.

What is the perimeter of this composite shape?

a)

64.62cm

b)

83.22cm

c)

292.10cm²

d)

427.96cm²

56.

What is the perimeter of this composite shape? All measurements are in cm.

a)

30cm

b)

33cm

c)

36cm

d)

39cm

57.

What is the area of the shaded region? All measurements are in mm.

a)

275mm²

b)

350mm²

c)

450mm²

d)

800mm²

58.

Combine like terms to simplify the following expression:

7 + 5(2a + 6) + 4a

a)

14a + 13

b)

10a + 8

c)

20a + 12

d)

14a + 37

59.

Rewrite the expression by combining like terms.
5x² + 5y + 2x² + 4y² – 4x² + 2y² - 4y

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

60.

Which expression can help you find the perimeter of this triangle?

a)

4a + 10

b)

3a + 10

c)

a³+ 10

d)

3a + 5

61.

$2\left(2m-\frac{2}{3}\right)+\frac{2}{3}\left(\frac{5}{2}m+\frac{3}{2}\right)$

a)

$\frac{17}{3}m-\frac{1}{3}$

b)

$\frac{34}{6}m-\frac{1}{3}$

c)

$\frac{17}{3}m+\frac{7}{3}$

d)

$\frac{34}{6}m+\frac{7}{3}$

62.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

63.

Simplify
x³⋅x⁶

a)

x⁹

b)

x¹⁸

c)

x¹

d)

x²

64.

In the equation 5x+2=12, the 5 is known as the________.

a)

coefficient

b)

monomial

c)

polynomial

d)

constant

65.

Use distribution to simplify the expression.

$\frac{2}{3}\left(6x-9\right)$

Answer:

(a)

66.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

67.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

68.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

69.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

70.

n -10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n -13

71.

a + a + a + a =

a)

a + 4

b)

a to the four power

c)

4a + 4

d)

4a

72.

What is the area of this shape?

a)

54 cm2

b)

45 cm2

c)

63 cm2

d)

36 cm2

73.

What is the area?

a)

108 cm sq

b)

60 cm

c)

432 cm sq

d)

216 cm sq

74.

(4x+1) - (5x−2)

a)

9x + 3

b)

20x² − 3x - 2

c)

x² + 3

d)

-x + 3

75.

Simplify:

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

76.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

77.

How do you calculate the perimeter of a shape?

a)

Find the sum of the length of all the sides

b)

Multiply the length by the width

c)

Add the length and width together

d)

None of these options

78.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

79.

What is the distance from the base of the house to the base of the ladder?

a)

25 m

b)

5 m

c)

313 m

d)

17.7 m

80.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

81.

Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

82.

What is ordered pair for X?

a)

(5,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

83.

Which graph represents the table?

a)

b)

c)

d)

84.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

85.

What is the interquartile range (IQR) of plot A?

a)

6

b)

8

c)

15

d)

28

86.

2. Which of the following best describes the process of finding the interquartile range for a set of data?

a)

Add the biggest and smallest numbers.

b)

Place the numbers in order from least to greatest and find the middle.

c)

Find the difference between the maximum and the minimum.

d)

Subtract Q1 from Q3.

87.

What is the value of the upper quartile?

a)

68

b)

76

c)

84

d)

94

88.

What is the median score?

a)

62

b)

71

c)

92

d)

81

89.

Which box and whisker plot shows more "spread out" data?

a)

Top plot

b)

Bottom plot

90.

What is the range of the amount of money this person earned babysitting?

a)

$45

b)

$25

c)

$10

d)

$35

91.

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

a)

$y+6=\frac{1}{2}\left(x+6\right)$

b)

$x-2y=16$

c)

$y=\frac{1}{2}x-8$

d)

$y=\frac{1}{2}x-11$

92.

The aquarium is draining a large fish tank. The pump they are using can drain 24 gallons per hour. After 3 hours, there are 78 gallons left in the tank. Write an equation in slope-intercept form to model the water left in the tank, y, after x hours of draining. How many gallons were originally in the tank?

a)

$y=-24x+78$ ; there was 78 gal in the tank initially

b)

$y=24x-150$ ; there was 150 gal in the tank initially

c)

$y=150x-24$ ; there was 24 gal in the tank initially

d)

$y=-24x+150$ ; there was 150 gal in the tank initially

93.

What is the equation and slope of the line shown on the grid?

a)

y = 6; slope is -1

b)

x = 6; slope is zero

c)

y = 6; slope is 6

d)

x = 6; slope is undefined

94.

Solve:
2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

95.

Solve for x:
2(3x + 4) + 2 = 4 + 3x

a)

2

b)

-2/3

c)

10

d)

-2

96.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

97.

Which polyhedra will this net make?

a)

Triangular Prism

b)

Triangular Pyramid

c)

Rectangular Pyramid

d)

Rectangular Prism

98.

Which polyhedra will this net make?

a)

Cone

b)

Triangular Prism

c)

Square Pyramid

d)

Cube

99.

Find the total surface area of the prism.

a)

48 square inches

b)

64 square inches

c)

88 square inches

d)

76 square inches

100.

Find the surface area of the square pyramid.

a)

108 cm²

b)

324 cm²

c)

180 cm²

d)

432 cm²

101.

What is the definition of surface area?

a)

The area of the inner surface of a three-dimensional object.

b)

The area of the top surface of a three-dimensional object.

c)

Total area of the outer surface of a three-dimensional object.

d)

The area of the bottom surface of a three-dimensional object.

102.

What is the volume of this triangular prism?

a)

100 cm³

b)

200 cm³

c)

190 cm³

d)

360 cm³

103.

What is the amount of packing peanuts that can fit into this box?

a)

3 inches³

b)

17 inches³

c)

120 inches³

d)

60 inches³

104.

A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 50% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?

a)

27,143.36 ft³

b)

3391.2 ft³

c)

13,571.68 ft³

d)

6,785.84 ft³

105.

What is the formula for Volume of a Cone?

a)

V=π r³h

b)

V=π r²h

c)

V= $\frac{1}{3}$ π $r^2$ h

d)

V= $\frac{4}{3}$ π $r^3$

106.

Jason is drinking a soda from a can that has a radius of 5 in and a height of 43 in. How much soda is in the can? Leave the answer in terms of π.

a)

1075π

b)

268.75π

c)

430π

d)

806.25π

107.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

MTH1W Exam Review

Total questions: 107

Worksheet time: 4hrs 46mins

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