1. Fill in the blanks (20 points for this question, 4 points for each small question):

When 1.x= =, the difference between algebraic expression and algebraic expression is 0;

2.x = 3 is the solution of the equation 4x-3 (a-x) = 6x-7 (a-x), then a =；;

3.X = 9 is the solution of the equation, then, when 1, the solution of the equation;

4. If 2ab23x- 1 and -5ab26x+3 are similar terms, then x =；;

5.x = is the solution of equation | k | (x+2) = 3x, then k =.

Second, solve the following equation (50 points for this question, 0/0 for each small question):

1.2 { 3[4(5x- 1)-8]-20 }-7 = 1；

2.= 1;

3 . x-2[x-3(x+4)-5]= 3 { 2x-[x-8(x-4)]}-2；

4.；

5.。

Third, solve the following application problems (30 points for this problem, 0/0 for each small question):

1. Dig with two excavators. The first excavator digs 40 m3 more per hour than the second excavator. The first excavator works 16 hours, and the second excavator works 24 hours. * * * Dig 8640 m3. How many cubic meters can each excavator dig per hour?

2. Three factories A, B and C have different funds to organize a school run by a factory. Among them, a factory pays the total amount, and B factory pays the sum of A and C. It is known that C factory pays 16000 yuan. What is the total cost of the school run by this factory, and how much is it for factory A and factory B respectively?

3. A mountain road, from the foot of the mountain to the top of the mountain, takes less 1 hour to be 1 km, and from the top of the mountain to the foot of the mountain, it can be completed in 50 minutes. It is known that the downhill speed is 1.5 times of the uphill speed. What are the downhill speed and uphill speed, and how many kilometers is the one-way street?

Reference answer:

1. Fill in the blank:1.9; 2.； 3. or; 4 . x =； 5.；

Second, solve the equation:1.x =1; 2.； 3 . x = 6； 4.； 5.

Third, the application problems:

1. The first excavator digs 240m3 per hour, and the second excavator digs 200 m3 per hour.

2. The total capital is 42,000 yuan, including a factory12,000 yuan and a factory14,000 yuan.

3. The uphill speed is 4 kilometers per hour, the downhill speed is 6 kilometers per hour, and the one-way street is 5 kilometers. ..

Learning materials and test questions of Grade One (Mathematics)

1. Fill in the blanks (65438+ 0 for each grid, ***30 for each grid) 1. A cube is surrounded by _ _ _ faces, with _ _ _ vertices and _ _ _ edges. A cylinder is surrounded by _ _ _ faces. 3. If 5℃ above zero is recorded as +5℃, then 3℃ below zero is recorded as _ _ _ _. 3. if a < 0, then a _ _ _ _ 2a (with, =) 3 fill in the blanks. The base of 74 is _ _ _ _ _ _ _ _, the index is _ _ _ _ _ _ _, and the base of (-2) 3 is _ _ _ _ _. ⒌(- 1)2000=__________, (- 1)200 1=___________,- 12002=_____________。 6.A minus 70 15% can be expressed as _ _ _ _ _ _ _ _. If the side length of a cube is a, then the volume of the cube is _ _ _ _ _ _ _, and the surface area is _ _ _ _ _. ⒏ The single digit of a two-digit number is A and the ten-digit number is B. Please use an algebraic expression to indicate that this two-digit number is _ _ _ _ _ _ _ _ _ _ _ _. (9) The lengths of the three sides of a triangle are 2x, 4x and 5x respectively, and the circumference of this triangle is _ _ _ _ _ _ _ _ _. ⒑ In three consecutive even numbers, n is the smallest one, and the sum of these three numbers is _ _ _ _ _ _ _. 5. Please explain the meaning of the following algebraic expression: 6p: \ \ \ \ 655438+02b: \ \ \ 655438 \ \ \ 655507; 655438+02b:\\\\\\ 65507; 655438 \\\\\ 65507; 655507; 655507; 6507; 6500\\\\\。 5] The price of a commodity is X yuan, so 1/2x can be interpreted as _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _. 12, (1) 0.25 = _ _ _ _ _' _ _ _ _ _ _ (2)1800 = _ _ _ _ _ _. () 2. The absolute value of rational number must be greater than 0. () 3,-(3x-2) =-3x-2 () 4,8x+4 =12x () 5,3 (x+8) = 3x+24 () 6,3x+3y = 6xy () Select (2 points for each question, * *. Then a = () a, 4 B,-4 C, 4 or-4 D is not 2, and the reciprocal of -3/8 is () a, -3/8 b, 8/3 C, -8/3 d, 3/8 3. Reduce the number n by 3 and expand it by 5 times, and the final result is () a. Among them, the number of boys is 35%, so the number of girls is () a, 35%x B, (1-35%) X C, x/35% D, x/1-35. Shape symbol () A.B.C.D. *** 12) 1, (1/3+1/4-1/6) × 242,0-23. *** 12 points) 1, 2 (2a2+9b)+3 (-5a2-4b) 2, a+(5a-3b)-(a-2b) 3,3n-[5n+(3n-1. *** 10) 1, (3a2+7bc-4b2)-(5a2-3bc-2b2)+ABC, where a = 5, b = 1/3, c = 32, (5a2-3b2).