Free Printable tsia 2 skills review

1.

Simplify using your exponent rule(s) x⁵⁄x³

a)

x²

b)

x

c)

1

d)

x⁸

2.

Simplify using your exponent rule(s) (-2)³⋅(-2)⁶

a)

(-2)⁹

b)

(-2)¹⁸

c)

(-2)⁻³

d)

(-2)

3.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

4.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

5.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

6.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

7.

Simplify the following:

$x^{-5}$

a)

$x^{-5}$

b)

1

c)

$\frac{1}{x^5}$

d)

5x

8.

Simplify the following (CAREFUL!!!):

$\frac{x^{12}}{x^{-2}}$

a)

$x^{14}$

b)

$x^{-6}$

c)

$x^{10}$

d)

$\frac{1}{x^6}$

9.

Simplify the following:

$\frac{x^{12}}{x^2}$

a)

$x^{10}$

b)

$x^6$

c)

$x^{14}$

d)

$x^{24}$

10.

Simplify the following:

$(5x^5)^2$

a)

$25x^{10}$

b)

$25x^7$

c)

$10x^{10}$

d)

$10x^7$

11.

Simplify the following:

$(x^3)^4$

a)

$x^{12}$

b)

$x^7$

c)

$x^1$

d)

$x^{81}$

12.

Simplify the following:

$3x^2\ ⋅\ 2x^4$

a)

$6x^6$

b)

$5x^8$

c)

$6x^8$

d)

$9x^6$

13.

Simplify the following:

$x^2\ \cdot\ x^4$

a)

$x^6$

b)

$x^8$

c)

$x^{16}$

d)

$x^2$

14.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

15.

2⁵ is the same as 2 x 5.

a)

True

b)

False

16.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

17.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

18.

What do we call √ ?

a)

radicand

b)

radical symbol

c)

cube root

d)

index

19.

√ 64

a)

4

b)

6

c)

9

d)

8

20.

√ 144

a)

16

b)

12

c)

16

d)

13

21.

65

a)

Is a perfect square.

b)

Is not a perfect square.

22.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

23.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

24.

The goal of solving two-step equations is to:

a)

francine

b)

Find the coefficient

c)

Find the value of the variable

25.

What does isolate the variable mean?

a)

Make sure the variable is not alone.

b)

Get the variable by itself.

c)

Make the variable do a dance.

d)

Double the variable

26.

WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?

a)

5+x=25

b)

5+4x=25

c)

5x=25

d)

23-5=4x

27.

WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

331=7x+6

b)

331=13x

c)

331=6x+7

d)

331-7=6x

28.

Level 3

Solve for w

a)

w = 2

b)

w = 4

c)

w = 6

d)

w = 8

29.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

30.

What do you need to find to simplify square roots

a)

perfect square factor

b)

square roots

c)

even factors

d)

factors of ten

31.

Simplify $\sqrt{45}$

What is the largest perfect square that is a factor of 45? 9

Write your number as the product of the perfect square and the other number.

$\sqrt[]{9\times5}$

Simplify.

a)

$9\sqrt{5}$

b)

$5\sqrt{9}$

c)

$3\sqrt{5}$

d)

$5\sqrt{3}$

32.

Select all perfect square factors

a)

5

b)

100

c)

144

d)

200

e)

121

33.

Simplify Completely $\sqrt{162}$

a)

$2\sqrt{9}$

b)

$9\sqrt{2}$

c)

$6\sqrt{54}$

d)

$3\sqrt{54}$

34.

Simplify $\sqrt{500}$

Use either method.

a)

$4\sqrt{125}$

b)

$5\sqrt{10}$

c)

$10\sqrt{5}$

d)

$10\sqrt{50}$

35.

Simplify.

a)

b)

c)

d)

36.

Simplify.

a)

b)

c)

d)

37.

Simplify

a)

b)

c)

d)

38.

√(6² + 8²)

a)

14

b)

10

c)

28

d)

20

39.

√(9 + 16)

a)

7

b)

5

c)

25

d)

3√4

40.

Area of a circle

a)

𝝅r^2

b)

𝝅 d

c)

𝝅r2h

d)

2𝝅r

41.

Area of a circle

a)

𝝅r^2

b)

𝝅 d

c)

𝝅r2h

d)

2𝝅r

42.

Circumference of a circle

a)

𝝅r^2

b)

2𝝅r

c)

𝝅r

d)

𝝅rd

43.

Area of Triangle

a)

1/2 (b1 +b2)h

b)

b*h

c)

1/2 b * h

d)

l*w*h

44.

Area of a Trapezoid

a)

1/2 b*h

b)

1/3 b*h

c)

1/2 (b1+b2)h

d)

1/2 l*w*h

45.

Area of parallelogram

a)

l*w*h

b)

1/2 b*h

c)

b*h

d)

1/3 b*h

46.

Volume of a prism

a)

base * h

b)

4/3 𝝅r^3 h

c)

1/3 𝝅r^2 h

d)

(Area of base) * h

47.

Volume of a sphere

a)

𝝅r^2 h

b)

1/3 𝝅r^2* h

c)

4/3 𝝅r^3

d)

1/2 𝝅r^2

48.

Volume of a cone

a)

1/3 𝝅r^2* h

b)

4/3 𝝅r^3 h

c)

𝝅r^2* h

d)

2𝝅r

49.

Volume of a pyramid

a)

4/3 𝝅r^3 h

b)

1/3 𝝅r^2* h

c)

1/3 (area of base) * h

d)

(area of base) * h

50.

Percent of change formula

a)

Low-High

b)

Original - High = low

c)

Original - Low + High

d)

High - Low / original

51.

Volume of cylinder

a)

1/3 𝝅r^2* h

b)

4/3𝝅r^3* h

c)

𝝅r^2* h

d)

𝝅r^2

52.

Pythagerean Theorem

a)

y=mx+b

b)

a^2+b^2 = c^2

c)

a+b=c

d)

a-b=c

53.

slope intercept form

a)

a^2+b^2 = c^2

b)

m+b=y

c)

y=mx+b

d)

y=a+mb

54.

formula for slope

a)

a^2+b^2 = c^2

b)

(y2-y1)(x2-x1)

c)

(x1-x2)(y1-y2)

d)

a^3+b^3 = c^

tsia 2 skills review

Total questions: 54

Worksheet time: 2hrs 2mins

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