Free SAT Practice Questions (Math Help)

Introduction to free SAT practice Questions:

SAT is abbreviated as Scholastic Aptitude Test or the Scholastic Assessment Test which is conducted in United States and introduced in 1901. The SAT test is conducting for the purpose during the college admission. By using the SAT test determine the readiness of the students for their college. The time limit of the SAT test is 3.45 hours. In this free sat practice questions, we are going to see about the Probability, Statistics, Geometry, Algebra, Numbers and operations and the data analysis.

In this article we are going to see about the algebra as an assignment for free SAT practice questions.

SAT Questions Structure

The current SAT test includes the following structure,

* Critical Reading

* Mathematics

* Writing

* Style of questions

The following math topics are involved in the preparation for the free SAT test,

* Number and operations

* Algebra and functions;

* Geometry; statistics,

* Probability,

* Data analysis.

Some examples for Free SAT Practice Questions:

Here, we are going to see some example questions asked in SAT exams.

Example 1 for free sat practice questions:

Solve equation: '(2x)/3' + 5 = 5x

A) 1

B) 2

C) 1.15

D) -1.15

Solution:

Given: '(2x)/3' + 5 = 5x

Step 1:

'(2x)/3 ' + 5 = 5x

Take LCM for 2x/3 and 5

'(2x)/3' + '(5xx3)/3' = 5x

'(2x)/3' + '15/3' = 5x

'(2x+15)/3' = 5x

Step 2:

'(2x+15)/3' x 3 = 5x (3) (Multiply by 3)

2x + 15 = 15x

Step 3:

2x - 15 x = 15

-13x = 15

x = '15/(-13)'

= -1.15

Answer:A

Example 2 for free sat practice questions:

A 20% of a number is 10. Find the 30% of a number.

A) 20

B) 5

C) 10

D) 15

Solution:

Given:

20% of a number = 10

20% x = 10

'20/100 ' x = 10

Solve:

'1/5' x = 10

x = 10 (5)

= 50

Step 2:

30% of a number = ?

30% of 50 = '30/100' x 50

= '3/10' x 50

= 15

Answer: D

Example 3 for free sat practice questions:

f(x) = ¦(x^2 +30)¦, find the value of f(-6) ?

A. 66

B. 25

C. -78

D. -66

Solution:

Given: f(x) = ¦(x^2 +30)¦

f(-6) = ¦((-6)^2 +30)¦

= ¦(36 +30)¦

= ¦66¦ ( | a | = a)

= 66

Answer: A

Example 4 for free sat practice questions:

Solve: (5^5 - 5^8)/5^3

A. 1

B. -1

C. 3100

D. 125

Solution:

Given: (55 - 58 )/53

We know,

a^x . a^y = a^x+y and a^x/a^y = a^x-y

'(5^5 - 5^8 )/5^3' = '(5^5)/(5^3)' - '5^8/5^3'

= 5^5-3 - 5^8-3

= 5^2 - 5^5

= (5 . 5) - (5 . 5 . 5 . 5 . 5)

= 25 - 3125

= 3100

Answer: C

Example 5 for free sat practice questions:

10. If x? - y? = 55, and x - y= 11, then y =

A. 8

B. 5

C. 3

D. -3

Solution:

Given: x? - y? = 55

x - y= 11

x? - y? = 55

(x + y) (x - y) = 55

(x + y) 11 = 55

(x + y) = '55/11'

x + y = 5

Step 2:

x + y = 5 --------(1)

x - y = 11 --------(2)

Add (1) + (2):

x + y = 5

x - y = 11

________

2x + 0 = 16

__________

'2/2' x = '16/2'

x = 8

Substitute x = 8 in (1):

x + y = 5

8 + y = 5

y = 5 - 8

y = -3

Answer: D

Processing ...

Questions and answers (John Harmar)

Educational assessment is the process of documenting, usually in measurable, knowledge, skills, attitudes and beliefs. Evaluation can on the individual learner, the learning community (class, workshop, or other organized group of learners), focus facility or the education system as a whole.
Math assessment test will test its strengths and weaknesses in math skills.Some mathematical questions and answers are given in this article.

Math exam questions and answers:

(1) Evaluate: 62-(-3 + 11)

Solution:

62-(-3 + 11) = 36-8

= 28

(2) Which is larger? The sum of 12 and 11.5 (or) the difference between 22.2 and 14.4

Solution:

Sum of 12 and 11, 5 = 12 + 11.5

= 23.5

Difference between 22.2 and 14.4

= 22, 2 14.4

= 7.8

Therefore, the sum of 12 and 11.5 is greater.

(3) Release: 10 (X + 10) = 200

Solution:

10 (X + 10) = 200

10 X + (10 x 10) = 200

10 X + 100 = 200

10 X = 200

X = 20

4) Find the mean of a given data set: {4, 6, 9, 18, 15}

Solution:

My = (4 + 6 + 9 + 18 + 15) / 5

= 10.4

5) Right triangle has the legs of length 4 cm and 12 cm. What is the length of the hypotenuse?

Solution:

Given: a = 4 cm and b = 12 cm

By Pythagoras set,.

C2 = a2 + b2

C2 = 42 + 122

C2 = 16 + 144

C2 = 160

Take the square root, we get

c = m 12.65

Length of the hypotenuse = 12.65 cm

(6) Newsletter search the volume of the cone right in the face of the RADIUS is 7 cm and the height is 10 cm.

Solution:

Volume of cone = 1/3 'pi' r2 h

= 1/3 'PI' (72) 10

= 1/3 (3.14) (49) 10

= 512.87 cm3

Practice test questions and answers:

Questions:

(1) Evaluate: 82-(7 + 20)

(2) Which is larger? The sum of 10 and 15 (or) the difference of 15 and 2

3) Solve the equation: 3 (X + 5) = 30

4) Find the mean of a given data set: {21, 32, 30, 43, 41, 47}

5) Right triangle has legs length 8 cm and 12 cm. What is the length of the hypotenuse?

(6) Newsletter search the volume of the cone right in the face of the RADIUS is 8 cm and the height is 12 cm.

Answers:

1) 37 2) Die Summe von 10 und 15 3) X 5 = 4) Mittelwert = 35,67 5) c = 14,42 6) 803.84 cm3
Educational assessment is the process of documenting, usually in measurable, knowledge, skills, attitudes and beliefs. Evaluation can on the individual learner, the learning community (class, workshop, or other organized group of learners), focus facility or the education system as a whole.(Source - Wikipedia)
Math assessment test will test its strengths and weaknesses in math skills.Some mathematical questions and answers are given in this article.

Mathematics assessment test examples:

Example 1:

Find the mean of the given data set: {6, 12, 29, 18}

Solution:

My = (12 + 6 + 18 + 29) / 4

= 65 / 4

= 16.25

Example 2:

Here you find the volume of the cylinder, the face of RADIUS 12 cm or 31 cm.

Solution:

Volume of the cylinder 'pi' r2 h = cubic units.

= (3.14) * 122 * 31

= 3.14 * 144 * 31

= 14016.96 cm3

Example 3:

Find the area of the square with side length of 7 cm.

Solution:

Area of the square (a) 2 =.

(7) = 2

= 7 * 7

Area of the square = 49 cm2

Example 4:

Find the area of a triangle with base of 19 m and a height of 6 m.

Solution:

Area of a triangle = b h

= (19) (6)

= 57 m2

Example 5:

Solution: 12 (X + 6) = 120

Solution:

12 (X + 6) = 120

12 X + (12 x 6) = 120

12 X + 72 = 120

12 X = 48

X = 4

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