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

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