"Mathematics" number 27/2002, 22/2003
OPTION 1
1 a) opening brackets: 34.4 - (18.1 - 5.6) + (–11.9 + 8); 2 ... Simplify the expression: a) 4 t – 6t –3t + 7 + t; b) –8 ( k – 3) + 4(k – 2) – 2(3k + 1); in)
.
3
... Solve the equation: 0.6 ( at – 3) – 0,5(at – 1) = 1,5.
4
... The traveler traveled for 3 hours by bus and 3 hours by train, having covered a distance of 390 km during this time. Find the bus speed if it is three times less than the train speed. 5
... Find the roots of the equation (2.5 at – 4)(6at + 1,8) = 0.
OPTION 2
1 ... Find the meaning of the expression: a) by opening the brackets: 28.3 + (–1.8 + 6) - (18.2 - 11.7); b) applying the distribution property of multiplication:
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.
3
... Solve the equation: 0.8 ( x – 2) – 0,7(x – 1) = 2,7.
4
... Tourists traveled 270 km, moving 6 hours by boat and 3 hours by bus. What was the speed of the ship if it was half the speed of the bus? 5
... Find the roots of the equation (4.9 + 3.5 x)(7x – 2,8) = 0.
OPTION 3
1 ... Find the meaning of the expression: a) opening the brackets: 43.2 - (25.3 - 6.8) + (–14.7 + 7); b) applying the distribution property of multiplication:
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.
3
... Solve the equation: 0.4 ( and – 4) – 0,3(and – 3) = 1,7.
4
... The travelers sailed the 195 km path, moving 3 hours on a motor boat and 5 hours on a steamer. What is the speed of the boat if it is half the speed of the steamer? 5
... Find the roots of the equation (4.2 x – 6,3)(5x + 5,5) = 0.
OPTION 4
1 ... Find the meaning of the expression: a) opening the brackets: 56.7 + (–12.5 + 9) - (27.5 - 13.3); b) applying the distribution property of multiplication:
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.
3
... Solve the equation: 0.9 (b – 5) – 0,8(b – 2) = 2,3. 4
... The tourist rode a bicycle for 4 hours and walked for 3 hours, covering 60 km. Find the speed of a tourist if it is three times less than his speed when cycling? 5
... Find the roots of the equation (6,2 x + 9,3)(4x – 3,6) = 0.
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CONTROL WORK No. 12
Option 1
A1 Expand the parentheses and find the value of the expression: 3.7 - (1.4 - 2.8)
a) - 20 aub) 5.8 mb) -x
A4. Simplify expressions:
a) 1.2 5xb)
c) - 12 (- x) y g) 25 ax (-4)
a) - (3a - 5c) + 3ab) 3 (2x + 8) - (5x + 2)
A6. Solve the equation: 12x - 7x \u003d 30
a) 5a + x - 5a + xb) 6a - a - 9m + 6m - 3
23,6 + (14,5 – 30,1) – (6,8 + 1,9)
IN 2. Simplify the expression and find its value at m \u003d 1.6.
a) 1.513 + 1.57b)
C1. For what values \u200b\u200bof a is a\u003e a true?
C2. Solve the equation: 0.6 (x + 7) - 0.5 (x - 3) \u003d 6.8
CONTROL WORK No. 12
Coefficient. Expansion of brackets. Similar terms
Option 2
A1 Expand the brackets and find the value of the expression: 3.2 - (1.1 - 2.3)
A2. Write down expressions and underline the ratio:
a) 15mxb) - 2.9mc) –a
A3 Find the coefficient of the product:
A4. Simplify expressions:
a) 0.5 2ab)
c) - 80.3 (- x) d) 15 (-3mn)
A5. Expand the brackets (if possible, provide similar terms):
a) 7a + (- 4c + c) b) -2 (a-8) + 5.3a-2.7
A6. Solve the equation: 9x - 5x \u003d 28
A7. Give similar terms:
a) -8 x + 3y + y + 8xb) 5x + 2x - 10a + 8a -2
IN 1. Expand the brackets and find the meaning of the expression:
17,8 – (11,7 + 14,8) – (3,5 – 12,6)
IN 2. Simplify the expression and find its value at a \u003d 2.1.
IN 3. Find the values \u200b\u200bof the expressions:
a) 3.5 2.4 - 3.5 1.4 b)
In the tasks of part C it is necessary to write a detailed solution
C1. At what values \u200b\u200bof m is m true< – m?
C2. Solve the equation: 0.3 (x - 2) - 0.2 (x + 4) \u003d 0.6
CONTROL WORK No. 12
Coefficient. Expansion of brackets. Similar terms
Option 3
A1 Expand the brackets and find the value of the expression: 2.4 - (6.2 - 3.7)
A2. Write down expressions and underline the ratio:
a) - 1.6ub) ayc) –mn
A3 Find the coefficient of the product:
A4. Simplify expressions:
a) -0.9 4ab)
c) -1.4x ∙ (-5) g) 17 (-6kn)
A5. Expand the brackets (if possible, provide similar terms):
a) -6- (8a-1) b) 2 (5-2x) + 12x-7
A6. Solve the equation: 7 a - 2 a \u003d 30
A7. Give similar terms:
a) 3ax + 4ax - 5 - 9ahb) - 2y - 20 + 8y + y
IN 1. Expand the brackets and find the meaning of the expression:
23,8 – (11,7 – 14,5) + (- 32, 5 – 19,7)
IN 2. Simplify the expression and find its meaning at.
IN 3. Find the values \u200b\u200bof the expressions:
a) 4.75 3.2 + 3.2 3.25 b)
In the tasks of part C it is necessary to write a detailed solution
C1. For what values \u200b\u200bof c is it true - c< c?
C2. Solve the equation: 0.5 (4 + x) - 0.4 (x - 3) \u003d 2.5
CONTROL WORK No. 12
Coefficient. Expansion of brackets. Similar terms
Option 4
A1 Expand the brackets and find the value of the expression: 3.5 - (2.7 - 4.2) A2. Write down expressions and underline the ratio:
a) - 2.01 aub) ahv) -xy
A3 Find the coefficient of the product:
A4. Simplify expressions:
a) - 0.7 3ab)
c) –x ∙ (-5) ∙ 0.45 g) 21 (-7ac)
A5. Expand the brackets (if possible, provide similar terms):
a) -5+ (x-1) -7x b) -3 (a-7) + 5a-8
A6. Solve the equation: 2x + 4x \u003d 30
A7. Give similar terms:
a) 9xy + 3xy - 12 - xy b) 4a - 16 + 16 a - a
IN 1. Expand the brackets and find the meaning of the expression:
8,7 + (13,7 – 15,2) – (24,6 – 20,1)
IN 2. Simplify the expression and find its value at k \u003d 3.5.
IN 3. Find the values \u200b\u200bof the expressions:
a) 0.90.8 - 0.8 0.8b)
In the tasks of part C it is necessary to write a detailed solution
C1. For what values \u200b\u200bof n is n\u003e n true?
C2. Solve the equation: 0.4 (x - 9) - 0.3 (x + 2) \u003d 0.7
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