1 How old are you this year (1)

1. An equation with an unknown number is called _ _.

2. A simplified equation containing only _ _ _ _ _ _ and _ _ _ _ _ is called a linear equation.

3. In the following equations, the one-dimensional linear equation is

a . 2(3y-2)= 2y+2(2y-2)b . x+y = 5 c . 2x- 1 = 1+2x d . 5(x- 1)= 1

4. Which of the following numbers is the solution of equation 4x-5=7?

a . 1 b . 3c-3d . 4

5. According to the reciprocal of 5( 1) and 3 of x, the equation can be listed.

a . 5( 1)x+(-3)= 2x b .-(5( 1)x+3)= 2x c . 5( 1)x+3-x = 2d .-5( 1)x+3 = 2x

6. A barrel of oil weighs 8 kilograms. After half of the oil is used, the barrel weighs 4.5 kilograms. If the original oil in the barrel is x kilograms, the following equation is wrong.

a . 8-x = 4.5-0.5x b . x-0.5x = 8-4.5 c . 0.5x+8-4.5 = x d . x-8 = 0.5x+4.5

7. A commodity is increased by 40% on the basis of cost price, and then sold at a 20% discount. The price is 240 yuan, and the cost price of this commodity is X yuan. According to the meaning of the question, the following list is correct.

a . 40%×80% x = 240 b .( 1+40%)×80% x = 240

C.240×40%×80%=x D.40%x=240×80%

8. The trapezoid has an area of 84 square centimeters and a height of 8 centimeters, and its base is 3 centimeters less than the upper base. Find the length of the two bottoms of the trapezoid, and let the upper bottom of the trapezoid be xcm. The following equation is correct.

a . 8[x+(2x+3)]= 84 b . 2( 1)×8[x+(2x+3)]= 84

c . 8[x+(2x-3)]= 84d . 2( 1)×8[x+(2x-3)]= 84

9. The price of a commodity is 120 yuan. If you sell it at a discount of 10%, you can still get a profit of 20% relative to the purchase price. So the purchase price of the goods is

80 yuan 85 yuan 90 yuan 95 yuan

10. According to the meaning of the question, list the equations.

(1) Xiaoli took 10 yuan to the supermarket to buy books and pens, bought three books and two pens, and left 1 yuan. The unit price of Ruopen is 1.5 yuan. Ask Xiaoli how much each book costs?

(2) Xiao Jia measured the depth of his well with a rope. When the rope is measured by three folds, the rope is 3 meters higher than the well. 40 times the specific well height 1 m. How deep is Xiao Jiajia's well?

(3) The teacher is 45 years old and the student 13 years old. After a few years, the student's age is 3 of the teacher's age (1)?

(4) Team A has 52 people and Team B has 48 people. In order to meet the needs of work, the number of people in the two teams should be redistributed, so that the number of people in team A is three times that of team B. How many people should team B transfer to team A?

(5) There are 20 multiple-choice questions in a math test paper, and it is stipulated that 5 points will be scored for a correct answer, and 1 point will be deducted for a wrong answer or no answer. As a result, a classmate got 76 points. How many questions did he get right?

Sand piles up into a tower ― every little makes a mickle.

Li Bai was walking in the street, carrying a pot to buy wine. When he met a shop, he doubled it. When he saw flowers, he drank a bucket and drank all the wine in the pot three times. How much wine is there in this pot?

1 How old are you this year (2)

1. Equation _ _ _ _ _ plus (or minus) _ _ _ _ _ is still an equation; The equation _ _ _ _ _ multiplied by _ _ _ or divided by the same number _ _ _ _ is still an equation.

2. If a-3=b-3, then a=____, which is based on _ _ _ _ _ on both sides of the equation.

3. If -7x=7y, then x = _ _ _ _, which is based on _ _ _ on both sides of the equation.

4. Given 2x-3=5, the value of x+3 is _ _ _ _.

5. If x=y, then the following equation must hold.

a . x- 10 = y- 10 b .-5(x)=-5(y)c . a+ 1(x)= a+ 1(y)d . | a |+ 1(x)= | a |+ 1(y)

6. The deformation of a= 1 1 obtained from equation 3a-5=2a+6 is

A. divide both sides of the equation by 3 b and add 5 to both sides of the equation

C add (2a-5) to both sides of the equation. Subtract (2a-5) from both sides of the equation.

7. Which of the following statements is correct?

A. if ac=bd, then a=b B, if c(a)=c(b), then a = B.

C. if |a|=|b|, then a = b d. if -3( 1)x=6, then x=2.

8. The correct figure in the following statement is

Both sides of the (1) equation are multiplied by zero and the result is still an equation.

(2) If both A and B are rational numbers and a=b, then 5(a-b)=0.

(3) If |x-2|=5, then x=3 or x=-7.

A. 1 B.2 C.3 D.0

9. Solve the following equations with the properties of equations.

( 1) 10x-6 = 1(2)0.3x+ 1 = 0.7(3)5x-2 = 13(4)3( 1)x+3( 1)= 3(7)

10. The equation -x|3m+5+5=0| is a linear equation, so the value of m is _ _ _ _.

1 1. If x=-2 is the solution of equation 3x+2a=b, then the value of 2a-b is _ _ _ _.

12. If "⊕" is a new algorithm, let M⊕N=M2+MN, then when (-2)⊕X=-8, what is the value of x?

13. It is known that the equation about X (m-3)xm2-8+ 12=0 is a linear equation. Find the value of m..