Free Printable TSI Practice

1.

Which of the following is an equilateral triangle?

a)

b)

c)

d)

2.

Any triangle that contains one angle that measures exactly 90 degrees is a _________ triangle.

a)

acute

b)

obtuse

c)

isosceles

d)

right

3.

An isosceles triangle is any triangle with...

a)

2 congruent (or equal) sides

b)

3 congruent (or equal) sides

c)

no congruent (or equal) sides

d)

3 congruent (or equal) angles

4.

Factor the following:

22b³ - 22b

a)

2b(11b - 11)

b)

22b³(1 - b²)

c)

22b²(b - 1)

d)

22b(b² - 1)

5.

4m² + 12mn = 4m(_+ (a) )

6.

Which of the following has a GCF of

5x?

a)

10x + 10

b)

20x + 5

c)

5x³ + 5x²

d)

20x² + 5x

7.

25 less than z

a)

z+25

b)

z/25

c)

25-z

d)

z-25

8.

A cell phone company charges $40 per month plus a $35 activation fee. Write an expression for the total cost for m months.

a)

40+35m

b)

40m+35

c)

m+35

d)

m+40

e)

75m

9.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

10.

Translate this phrase into an algebraic equation:

Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

11.

Check all steps that you would need to take to solve this equation:

4x+7-2x=18-3x

a)

Use distributive property to get rid of parentheses

b)

Combine like terms

c)

Move the variable to one side of the equation

d)

Use inverse operations to isolate and solve for the variable.

12.

Check all steps that you would need to take to solve this equation:

4\left(x-2\right)=x+1

a)

Use distributive property to get rid of parentheses

b)

Combine like terms

c)

Move the variable to one side of the equation

d)

Use inverse operations to isolate and solve for the variable

13.

What is the first step you should take to solve this equation:

3\left(x-2\right)=2x+7

a)

Add 2 to both sides

b)

Use distributive property to get rid of the parentheses

c)

Isolate the variable on one side

d)

Subtract 7 from both sides

14.

Factor the following: $x^2-1$

a)

(x+1)(x +1)

b)

(x - 1)(x - 1)

c)

prime

d)

(x + 1)(x - 1)

15.

4x² - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)²

c)

(2x + 5)²

d)

2x + 5(2x - 5)

16.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

17.

a)

6^-2

b)

1/6²

c)

1/36

d)

All of the above

18.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

19.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

20.

Angle 1: $47^{\circ}$

Angle 2: $38^{\circ}$

a)

Complementary

b)

Supplementary

c)

Neither

21.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

22.

What is the probability of spinning an even number?

a)

25%

b)

33%

c)

50%

d)

75%

23.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

24.

Find the probability of drawing a 10 from a standard deck of 52 cards.

a)

1 out of 52

b)

13 out of 52

c)

26 out of 52

d)

4 out of 52

25.

Find the probability of drawing a face card that is a Diamond from a standard deck of 52 cards.

a)

1 out of 52

b)

28 out of 52

c)

26 out of 52

d)

3 out of 52

26.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

27.

Using the given figure, what would be the correct way to set up an equation to find x using the Pythagorean Theorem?

a)

$12^2=x^2+9^2$

b)

$x^2=12^2+9^2$

c)

$9^2=x^2+12^2$

28.

How many minutes in 5 hours?

a)

300 minutes

b)

250 minutes

c)

240 minutes

d)

360 minutes

29.

7 feet = ___ inches

a)

144 inches

b)

49 inches

c)

84 inches

d)

19 inches

30.

Marcia orders 12 yards of material to make banners. If she needs 1ft of fabric to make each banner, how many can she make?

a)

36

b)

12

c)

144

d)

72

31.

A TV is regularly priced at $600, but it is on sale for 20% off. What's the sale price?

a)

$320

b)

$500

c)

$480

d)

$720

32.

If a $25 jacket is on sale for 40% off, what is the amount of discount?

a)

$1.00

b)

$4.00

c)

$10.00

d)

$2.50

33.

Sales tax is __________ to the price

a)

subtracted

b)

added

c)

multiplied

d)

divided

34.

Mrs. Ray is buying some shirts. They total to $35.50. Sales tax is 4.5%. When she goes to pay, how much will she owe?

a)

$1.60

b)

$37.10

c)

$40.00

d)

$2.50

35.

In 2.3 hours, Jack Sparrow traveled 7.2 miles. How long will it take him to travel 24 miles?

a)

55.2 hours

b)

7.67 hours

c)

3.13 hours

d)

3.33 hours

36.

If the PS5 is 15% off the original price, what is the sale price in terms of p? (choose all that apply)

a)

$.15p$

b)

$p-.15$

c)

$.45p$

d)

$.85p$

37.

Given this set of numbers: $12,\ 18,\ 10,\ 8,\ 20,\ 11,\ 4$ what is the range?

(NOTE: you should also know how to find the mean, median, and mode of any data set)

a)

16

b)

12

c)

9

d)

8

38.

Solve for x: $5x+2y-4-\left(2y+5\right)=18+2x$

a)

x = 10

b)

x = 9

c)

x = 5

d)

x = 3

39.

If the average of four numbers is 12 and one of these numbers is 5. What is the sum of the other three numbers?

a)

17

b)

43

c)

38

d)

29

40.

What is one factor of: $2x^2-7x+3$

a)

(2x+1)

b)

(x+3)

c)

(2x-1)

d)

(x-6)

TSI Practice

Total questions: 40

Worksheet time: 2hrs 41mins

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