myTestBook.com Math Reading Science Practice Test for Grade 1, 2, 3, 4 & 5    
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Grade: 7,    Subject: Math,    Topic: Algebraic Reasoning
Question 1:
One of the acute angles of a right triangle measures 2 times as large as the other acute angle. Find the measure of the two acute angles.

45o, 60o30o, 120o

30o, 90o30o, 60o
 
Question 2:
Find the value of y.

29 − y = 17

−1246

12−46
 
Question 3:
The length of a rectangle is 8 cm more than its width. If the perimeter of that rectangle is 144 cm, find its area.

280 sq cm1,280 sq cm

128 sq cm1,500 sq cm
 
Question 4:
Find the value of t.

3t − 9 = 16 − 2t

−525

65
 
Question 5:
Julie bought a purse and received $3 change from the cashier. She received 36 coins, all nickels and dimes. How many of each kind did she receive?

14 dimes and 12 nickels24 dimes and 12 nickels

32 dimes and 4 nickels18 dimes and 18 nickels
 
Question 6:
Solve the equation.

6y − 8 − y = 27 − 2y

57

−58
 
Question 7:
The entrance fee to a museum is $5 for an adult and is $2 for a child. Mrs. Perry purchased 29 tickets for $82. How many tickets of each type did she buy?

12 adult tickets and 17 child tickets9 adult tickets and 20 child tickets

8 adult tickets and 18 child tickets8 adult tickets and 21 child tickets
 
Question 8:
The circumference of a circle (c) is two times pi times the radius (r). Write this as an algebraic equation.

r = 2πcC = 2πr2

c = 2πrC = 2r + π
 
Question 9:
Solve the equation for p.

3p + r = 20

p = 3(20 − r)

 
Question 10:
Which shows the following statement as an algebraic expression?

The ratio of 3 more than y to y.


 
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