Free Printable TSI Math Practice

1.

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

a)

3/20

b)

1/4

c)

3/31

d)

2/27

2.

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. What is the probability that both pieces of fruit are apples.

a)

2/15

b)

3/17

c)

1/19

d)

6/21

3.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

4.

What is the probability of flipping a coin and getting heads?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

5.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)

a)

2/9

b)

1/3

c)

1/2

d)

1/4

6.

What is the probability of drawing a 3 from a deck of cards?

a)

2/13

b)

1/13

c)

3/52

d)

5/52

7.

What is the probability of picking a vowel (a,e,i,o,u) and rolling a 3 or less on a die?

a)

5/26

b)

1/2

c)

6/32

d)

6/52

8.

There are 10 women and 40 men at a political rally. 25 of the people are Democrats, 20 are Republicans, and 5 are Independent. What is the probability of choosing a person at random and picking a female who is a Democrat? (HINT: It’s AND)

a)

1/10

b)

7/10

c)

1/2

d)

3/4

9.

Hank wants to create a 4-letter password using the letters from the word “FRIDAY”. If he cannot repeat the letters in each password, how many possible passwords can he make?

HINT: Multiply

a)

6

b)

360

c)

36

d)

100

10.

Jessica has a drawer full of socks. She has 4 blue ones, 5 white ones, 3 pink ones. What is the probability of drawing either a white or pink sock?

a)

5/48

b)

1/3

c)

2/3

d)

1/3

11.

$If\ \frac{\text{2x}}{\text{3}}+4\ =\ 12,\ Then\ x\ =\$

a)

x = 13

b)

x = 12

c)

x = -12

d)

x = -13

12.

For 6x-4 = bx+12, What is the value of x if b = 2?

a)

x = 4

b)

x = -5

c)

x = 12

d)

x = 6

13.

Which of the following inequalities is true?

a)

$\frac{3}{4}<\frac{5}{7}$

b)

$\frac{5}{8}>\frac{6}{10}$

c)

$\frac{2}{3}>\frac{5}{6}$

d)

$\frac{4}{5}<\frac{2}{9}$

14.

If $\frac{4}{3}\div\frac{1}{6}\ =\ p$ then the value of p is between which of the following pairs of numbers?

a)

3 and 4

b)

5 and 6

c)

6 and 7

d)

7 and 9

15.

What is 0.8637 rounded to the nearest hundredth?

a)

0.86

b)

0.863

c)

0.864

d)

0.87

16.

What is the value of 2.84 x 3.9?

a)

11.076

b)

3.408

c)

34.08

d)

110.76

17.

What is the remainder when 599 is divided by 9?

a)

5

b)

2

c)

0

d)

9

18.

60% of what number is equal to 30?

a)

50

b)

0.5

c)

2

d)

18

19.

If 5x+4 = 6x, find 8x

a)

32

b)

12

c)

5

d)

0

20.

Kimberly has 6 more dollars than four times Laysha. If Laysha has x dollars, how much money do they have together?

a)

6+5x

b)

5+6x

c)

5x-6

d)

5x²+6

21.

a)

1

b)

2

c)

0

d)

5

22.

Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch?

a)

30 feet

b)

40 feet

c)

50 feet

d)

60 feet

23.

What is the probability of selecting a male from a group of 4 males and 8 females?

a)

1/3

b)

1/2

c)

2/3

d)

4/5

24.

3(x + 1) = 5(x − 2) + 7

a)

-2

b)

2

c)

1/2

d)

3

25.

Line I passes through the point (−1, 2). Which of the following CANNOT be the equation of line l?

a)

y = 1 - x

b)

y = x + 1

c)

x = -1

d)

y = x + 3

26.

Diego’s current age is five times Martina’s age ten years ago. If Martina is currently m years old, what is Diego’s current age in terms of m?

a)

5m

b)

5m - 10

c)

5m - 50

d)

5m - (m - 10)

27.

If 2x + 5 = 8x, then 12x = ?

a)

5

b)

10

c)

15

d)

20

28.

An airline asked its agents to assign convenience ratings on a scale of 1–7 to 114 flights leaving one of its hub cities. The histogram below shows the distribution of the ratings of the 114 flights. What is the median rating assigned by the agents?

a)

3

b)

4

c)

5

d)

6

29.

What is the value of x in the following equation:

a)

1

b)

4

c)

8

d)

16

30.

The market price of a house is directly proportional to the total area of the house in square feet. If the price of a 1,500 square foot home is $300,000 what is the price of a 2,000 square foot home?

a)

$350,000

b)

$400,000

c)

$450,000

d)

$500,000

31.

Find the x-intercept of a line that has the following equation: 2y = 3x − 6

a)

-2

b)

-1

c)

1

d)

2

32.

There are 80 students in a school. Every student is taking either algebra or pre-calculus, and some students are taking both. There are 60 students in the algebra class. If 15 students are taking both algebra and pre-calculus, what is the probability that a randomly selected student is taking pre-calculus but not algebra?

a)

1/4

b)

1/3

c)

3/8

d)

3/4

33.

What is the value of x in the following equation:

a)

3

b)

4

c)

5

d)

6

34.

What are the solutions to the equation x² + 8x + 15 = 0?

a)

2, 3

b)

3, 5

c)

-2, -3

d)

-3, -5

35.

a)

b)

c)

d)

36.

Joe’s department store sells pens for 60 cents each and pencils for 40 cents each. Diane purchased a total of 17 items (pens and pencils) for $8.20. How many pens did Diane purchase?

a)

5

b)

7

c)

10

d)

12

37.

A scoutmaster is preparing his troop for their annual fishing expedition. He surveys each of his scouts to find out how many fishing poles they own. What is the mode of the number of poles owned?

a)

0

b)

1

c)

2

d)

3

38.

Simplify: (x⁶)(x⁵)

a)

2x¹¹

b)

2x³⁰

c)

x¹¹

d)

x³⁰

39.

The points represented by the (x, y) coordinate pairs in the table below all lie on line k. What is the slope of line k?

a)

-2

b)

-3

c)

2

d)

5

40.

x⁴ − 16 = ?

a)

(x + 2)(x − 2)(x² + 4)

b)

(x + 2)²(x − 2)²

c)

(x + 2)³ (x − 2)¹

d)

(x − 2)⁴

41.

What is the maximum value of this function: ƒ(x) = −16x² + 32x + 20

a)

32

b)

34

c)

36

d)

40

42.

If you have an algebraic expression that states: two times a number added to six is equal to twelve times a number, what is the value of that number?

a)

3/5

b)

5/3

c)

1/4

d)

3

43.

What is the value of x when, $2\left(2x^2+3x\right)=10$

a)

1

b)

2

c)

-1

d)

3

44.

What is the value of x when: $x^2=9x$

a)

0, 9

b)

0, -9

c)

1, 9

d)

-1, 9

45.

Factor: $2x^2-7x+3$

a)

(x-3)(2x-1)

b)

(x-1)(2x-3)

c)

(2x+1)(x-2)

d)

(x-3)(2x+2)

46.

Solve: $\frac{1}{x}=\frac{x}{10}$

a)

$\sqrt{10}$

b)

$\frac{1}{10}$

c)

10

d)

5

47.

What is the area of a square with a side length of : $2x-y$

a)

$4x^2-4xy+y^2$

b)

$4x^2+4xy+y^2$

c)

$4x^2-4xy+3y^2$

d)

$4x^2-7xy+y^2$

48.

C=\frac{5}{9}\left(F-32\right)

If F = 68, solve for C.

a)

20

b)

18

c)

36

d)

12

49.

If the $3.80 large popcorn was on sale for 25% off, what is the discounted price?

a)

$0.95

b)

$1.25

c)

$2.85

d)

$3.55

50.

Lillian’s test grades during the past five weeks were 90, 97, 100, 100, 92. What grade will she need to get on this week’s test in order to have an average of 95?

a)

85

b)

91

c)

97

d)

98

51.

1. For the function f(x) = 4x² - 3x - 7, find f(-2).

a)

-17

b)

-7

c)

3

d)

15

52.

The sum of two numbers is 22 and their product is 85. What are the two numbers?

a)

10 and 12

b)

5 and 17

c)

6 and 16

d)

8 and 14

53.

If xy + 12 = 6x + 7 , find y if x = 5.

a)

6/5

b)

5

c)

9

d)

30

54.

Given: 1, 1, 2, 2, 2, 3, 3, 3, 3, 4

If a number is chosen at random from the list above, what's the probability of choosing 1 ?

a)

4/5

b)

2/5

c)

1/2

d)

1/5

55.

$\frac{a^9}{a^3}$

a)

3

b)

6

c)

$a^3$

d)

$a^6$

56.

The ages of five friends are: 23, 36, 28, 36, and 27. How many are older than the average age?

a)

1

b)

2

c)

3

d)

4

57.

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

58.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

59.

Evaluate the expression.
6[(4 + 9) - 3²] ÷ 2

a)

21

b)

20

c)

12

d)

9

60.

The points represented by the (x,y) coordinate pairs in the table all lie on Line k. What is the slope of Line k?

a)

-2

b)

-3

c)

2

d)

5

61.

Find the x-intercept of a line that has the following equation:

$2y=3x-6$

a)

$-2$

b)

$-1$

c)

1

d)

2

62.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

63.

Does the equation open up or down?
Y = -3x² +7x - 2

a)

up

b)

down

c)

Neither; it opens to the right.

d)

Neither; it opens to the left.

64.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

65.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

66.

Look at the graph. Write down the equation for the line.

a)

y = - x + 3

b)

y = 4x + 3

c)

y = ¹/₄x + 3

d)

y = - 4x + 3

67.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

68.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

69.

There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. What is the probability that the first student is a boy and the second student is a girl?

a)

7/26

b)

1/2

c)

2/17

d)

8/29

70.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

71.

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

a)

58

b)

59

c)

60

d)

118

72.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

73.

Calculate the mean of Shelly's test scores if she has scored 75, 97, and 92 so far this semester.

a)

92

b)

88

c)

132

d)

123

74.

A T-shirt costs $50. You get 10% off in the sales. How much do you pay for the T-shirt ?

a)

$5

b)

$15

c)

$45

d)

$35

75.

A shop has an item reduced from $800 to $240. Is this 70% off?

a)

Yes

b)

No

76.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

a)

25 pieces

b)

35 pieces

c)

75 pieces

d)

70 pieces

TSI Math Practice

Total questions: 76

Worksheet time: 6hrs 20mins

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