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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.
45
^{o}
, 60
^{o}
30
^{o}
, 120
^{o}
30
^{o}
, 90
^{o}
30
^{o}
, 60
^{o}
Question 2:
Find the value of y.
29 − y = 17
−12
46
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 cm
1,280 sq cm
128 sq cm
1,500 sq cm
Question 4:
Find the value of t.
3t − 9 = 16 − 2t
−5
25
6
5
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 nickels
24 dimes and 12 nickels
32 dimes and 4 nickels
18 dimes and 18 nickels
Question 6:
Solve the equation.
6y − 8 − y = 27 − 2y
5
7
−5
8
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 tickets
9 adult tickets and 20 child tickets
8 adult tickets and 18 child tickets
8 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 = 2πc
C = 2πr
^{2}
c = 2πr
C = 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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