Free Printable Pre-Algebra Year Long Review

1.

Convert 2/25 from a fraction to a decimal

a)

2.25

b)

.25

c)

.8

d)

.08

2.

What is 2 ⁴/₅ as a decimal?

a)

2.45

b)

0.8

c)

2.8

d)

0.45

3.

0.1 =

a)

$\frac{1}{10}$

b)

$\frac{0}{1}$

c)

$\frac{1}{0}$

d)

$\frac{1}{100}$

4.

0.97 =

a)

$\frac{9}{7}$

b)

$\frac{97}{10}$

c)

$\frac{97}{100}$

d)

$\frac{97}{1000}$

5.

$\sqrt{3}$

a)

Rational Number

b)

Irrational Number

6.

$0.8181818181...$

a)

Rational Number

b)

Irrational Number

7.

0.172

a)

Rational Number

b)

Irrational Number

8.

0.72938479182...

a)

Rational Number

b)

Irrational Number

9.

\sqrt{100}

a)

Rational Number

b)

Irrational Number

10.

\frac{17}{3}

a)

Rational Number

b)

Irrational Number

11.

\pi\ +\ 12

a)

Rational Number

b)

Irrational Number

12.

\sqrt{52}

is between which two perfect squares?

a)

7

b)

8

c)

9

d)

10

13.

\sqrt{115}

is between which two perfect squares?

a)

9

b)

10

c)

11

d)

12

14.

\sqrt{19}

is between which two perfect squares?

a)

4

b)

5

c)

6

d)

7

15.

Joey has a square bedroom with an area of 121 square feet. What is the side length of a wall in his room? Hint: find the square root.

a)

10

b)

25

c)

11

d)

30.25

16.

A square backyard has an area of 169 square feet. How long is each side of the back yard? Hint: whats the square root?

a)

42.25

b)

13

c)

20

d)

35

17.

Between which two square roots does the √51 fall?

a)

√16 and √25

b)

√25 and √36

c)

√36 and √49

d)

√49 and √64

18.

a)

A

b)

B

c)

C

d)

D

19.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

20.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

21.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Same line

c)

Parallel lines

22.

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

a)

3 + 2x

b)

3x + 2

c)

3x + 2x

d)

5x

23.

A plumber charges $50 to make a house call plus $40 for each hour worked. What is the expression and what does he make if he worked 5 hours?

a)

50x + 40; $290

b)

50x + 40x; $450

c)

50 + 40x; $250

d)

90x; $450

24.

What could this represent? 7x + 2 = 30

a)

Buying pet turtles for $7 each plus two cans of turtle food cost $30.

b)

Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

c)

Two yoyos plus seven frisbees is thirty cents.

d)

Buying seven calculators plus $2 per bundle of pencils is $30.

25.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

26.

Solve the 2-sided equation below.

(D, LT, VT, BS)

-12(x - 1) = -3(x - 1)

a)

10

b)

1

c)

14

d)

23

27.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

28.

Solve: $\frac{\left(x+1\right)}{\left(2\right)}=\frac{x+5}{3}$

a)

7

b)

-3

c)

4.1

d)

6

29.

Solve the following proportion:

$\frac{2}{x}=\frac{3}{39}$

(a)

30.

Simplify:

24 ÷ 4 ⋅ 2 + (3²- 1 + 6)

a)

5

b)

14

c)

17

d)

26

31.

What is the y-intercept of the graph shown?

a)

2

b)

-3

c)

$\frac{1}{2}$

d)

3

32.

What is the slope?

a)

-2

b)

1/3

c)

3

d)

2

33.

What is the slope of this line?

a)

2

b)

-2

c)

-1

d)

1

34.

What is the y-intercept?

a)

1/2

b)

2

c)

7

d)

3

35.

Which y - intercept and slope applies to the graph?

a)

y - intercept = 2, slope = 2

b)

y - intercept = -2, slope = 1/2

c)

y - intercept = -2, slope = 2

d)

y - intercept = 1, slope = 2

36.

What is the y-intercept?

a)

65

b)

60

c)

70

d)

-5

37.

What is the slope and y-intercept of the table?

a)

m=5/6 b=6

b)

m=-5/6 b=5

c)

m=6/5 b=0

d)

m=-6/5 b=-1

38.

What is the slope and y-intercept of the table?

a)

1/4 b=0

b)

-1/4 b=5

c)

-4/1 b=5

d)

4/1 b=0

39.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

40.

Graph.

y=\frac{2}{3}x-3

a)

a

b)

b

c)

c

d)

d

41.

a)

A train increases it's speed. It then travels at a constant speed.

b)

A train decreases it speed. It then travels at a constant speed.

c)

A train is going a constant speed. It then decreases it speed until it stops.

42.

The graph displays the distance Elijah is from his house. Which statement describes the graph?

a)

Elijah walks to a friend’s house, stays for a while, then goes to the library to drop off a book, and starts to walk home.

b)

Elijah jogs to the store, buys some fruit, then walks home.

c)

Elijah walks to school, goes to his classes, then walks home after school.

d)

Elijah walks around the block at a constant rate.

43.

The graph displays the speed Kelli rides her bike through the neighborhood. Which statement describes the graph?

a)

Kelli is stopped at a stop sign, then increases her speed as she goes down a hill, the decreases her speed as she goes up a hill.

b)

Kelli travels at a constant speed, then slows down as she goes up a hill, then speeds up as she goes down the hill.

c)

Kelli travels at a constant speed, then speeds up as she goes down the hill, then slows down as she goes up a hill.

d)

Kelli increases her speed at a constant rate, then slows down, then continues at that rate.

44.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

45.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

46.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

47.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

48.

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

49.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

50.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

51.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

52.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

53.

a)

b)

c)

d)

54.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

55.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

56.

How many faces are on the Triangular Prism?

a)

1

b)

3

c)

4

d)

0

57.

How many edges are on this shape?

a)

12

b)

8

c)

24

58.

How many vertices are on this shape?

a)

0

b)

16

c)

4

d)

24

59.

How many faces are on the Sphere?

a)

0

b)

1

c)

2

d)

3

60.

Find the volume.

*look carefully at your answer choices.

a)

1120 ft²

b)

2011 ft²

c)

120 ft³

d)

1120 ft³

61.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

62.

Find the volume of the figure. Round to the nearest tenth.

a)

128.6 units³

b)

1,286.1 units³

c)

401.9 units³

d)

5,144.6 units³

63.

V = ?

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

d)

18.84 in³

64.

Volume = ?

a)

1,356 m³

b)

1,734 m³

c)

377 m³

d)

590 m³

65.

Find the volume of the outside ring composite solid.

Use 3.14 for pi.

a)

188.4 m³

b)

753.6 m³

c)

245.9 m³

d)

567.7 m³

66.

What is the volume of the composite solid?

a)

301.6 cm³

b)

502.7 cm³

c)

268.1 cm³

d)

167.6 cm³

67.

What type of correlation does this graph have?

a)

Linear and Negative

b)

Non-Linear and No Association

c)

Linear and Positive

d)

Non-Linear and Negative

e)

Non-Linear and Positive

68.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

d)

negative: the more you run the less distance you jump

69.

a)

b)

c)

d)

70.

The scatterplot shows the average selling price of cars and the age of the cars. Based on the graph, approximately what selling price shouild an owner of a 4 year old car expect?

a)

$6,500

b)

$8,500

c)

$10,750

d)

$12,500

71.

Which scatterplot does NOT suggest a linear relationship between x and y?

a)

b)

c)

d)

72.

Based on the scatterplot, what is the best prediction of the average number of hours a person spends at work every week, if that person spends an average of 10 hours on recreational activities every week?

a)

33 hours

b)

85 hours

c)

50 hours

d)

65 hours

73.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

74.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

75.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

76.

Solve for x

a)

5

b)

90

c)

25

d)

10

77.

Which group of angles measures could form a triangle?

a)

100° 90° 170°

b)

60° 25° 95°

c)

35° 35° 35

d)

90° 60° 45°

78.

What is the value of x?

a)

45

b)

8

c)

47

d)

50

79.

Solve for x

a)

20

b)

25

c)

120

d)

180

80.

Two angles are given. Find the measure of the other 3 angles. (Choose 3 answers. You can also choose the same number more than once if it is there.)

a)

143 degrees

b)

43 degrees

c)

37 degrees

d)

157 degrees

e)

37 degrees

Pre-Algebra Year Long Review

Total questions: 80

Worksheet time: 7hrs 40mins

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