FREE ACT MATH PRACTICE WORKSHEET

(1)  If x = -2 and y = 3 then find the value of |2x - 3y|

(2)  Simplify the following (8+5) x (35/5) + 6

(3)  Fill in the blank with any least suitable digit.

54 _562. This number is divisible by 3.

(4) The weight of an empty bottle is 128.4 gram. It contains a syrup. The weight of the syrup is 156.8 gram. What is the weight of 24 bottles of syrup?

Solutions for 1 to 4

(5)  Factorize

4(a+b)² - 9

(6)  Find the median of the data

78, 56, 22, 34, 45, 54, 39, 68, 54, 84.

(7)  A person earns $ 2,400 per month. He saves 15% of his salary. How much does he save?

(8)  Find the slope of line 3x + 2y - 12  =  0.

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More Questions

Question 5 :

Factorize

4(a+b)² - 9

Solution :

To factorize this we can write the given question in the form of square.

=  4(a+b)² - 9

=  2² (a+b)² - 3²

=  [2 (a + b)]² - 3²

a² - b²  =  (a+b) (a-b)

=  (2(a+b)+3) (2(a+b)-3)

Question 6 :

Find the median of the data

78, 56, 22, 34, 45, 54, 39, 68, 54, 84.

Solution :

To find the median first we have to arrange the numbers in ascending order. Arranging the data in the ascending order we get 

22, 34, 39, 45, 54, 54, 56, 68, 78, 84.

Here the total number of terms (n)  =  10, and even number

Median  =  [(n/2)^th term + ((n/2)+ 1)^th term]/2

n  =  10

=  [(10/2)^th term + ((10/2)+ 1)^th term]/2

=  (5^th term + 6^th term]/2

need to select the numbers from the ascending order.

5^th term  =  54 and 6^th term  =  54

=  (54 + 54)/2

=  108/2

=  54

Therefore the median is 54.

Question 7 :

A person earns $ 2,400 per month. He saves 15% of his salary. How much does he save?

Solution :

Earning of a person  =  $ 2,400

Since he is saving 15% of his salary.

His saving amount  =  15% of 2400

=  (15/100) x 2400

=  15 x 24

=  $360

So he is saving $ 360 per month.

Question 8 :

Find the slope of line 3x + 2y - 12  =  0.

Solution :

Slope (m)  =  -coefficient of x/coefficient of y

From the given equation the coefficient of x is 3 and the coefficient of y is 2.

m  =  -3/2

Therefore the required slope is -3/2.

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