Quiz about Unidad 7: Ecuaciones

Question 1

Translate into algebraic language:

Three times a number plus five

Accepted Answer

$$3x+5$$

Answer

$$x+8$$

Answer

$$3+x+5$$

Answer

$$x+5$$

Question 2

Translate into algebraic language:

A number plus its consecutive

Accepted Answer

x+(x+1)

Answer

x+x

Answer

x+2x

Answer

2x

Question 3

Translate into algebraic language:

The square of a number

Accepted Answer

$$x^2$$

Answer

$$2x$$

Answer

$$x+2$$

Answer

$$2x^2$$

Question 4

Translate into algebraic language:

Twice the sum of any two numbers

Accepted Answer

$$2\left(x+y\right)$$

Answer

$$x+x+1$$

Answer

$$x+2y$$

Answer

$$2x+y$$

Question 5

Translate into algebraic language:

My sister's age is twice my age and my brother's age is 5 years less than my sister's age.

Accepted Answer

My age: x

Sister's age: 2x

Brother's age: 2x-5

Answer

My age: 2x

Sister's age: x

Brother's age: 2x-5

Answer

My age: 2x

Sister's age: x-5

Brother's age: 2x-5

Answer

My age: x

Sister's age: 2x-5

Brother's age: 2x

Question 6

Calculate the algebraic expressions for the numerical value x=2:

$$x^2-2x+1$$

Accepted Answer

1

Answer

0

Answer

2

Answer

-2

Question 7

Calculate the algebraic expressions for the numerical value x=-1:

$$x^2-2x+1$$

Accepted Answer

4

Answer

-1

Answer

0

Answer

2

Question 8

Calculate the algebraic expressions for the numerical value x=6 and y=2:

$$\frac{x\left(x+y\right)}{y}$$

Accepted Answer

24

Answer

12

Answer

18

Answer

30

Question 9

Identify the coefficient, the literal part and the degree of the following monomial:

$$2x$$

Accepted Answer

Coefficient: 2

Literal part: x

Degree: 1

Answer

Coefficient: 2

Literal part: x

Degree: 0

Answer

Coefficient: 1

Literal part: 2x

Degree: 1

Answer

Coefficient: 1

Literal part: 2x

Degree: 0

Question 10

Identify the coefficient, the literal part and the degree of the following monomial:

$$-\frac{x^3}{2}$$

Accepted Answer

Coefficient: $$-\frac{1}{2}$$

Literal part: $$x^3$$

Degree: 3

Answer

Coefficient: $$\frac{1}{2}$$

Literal part: $$-x^3$$

Degree: 3

Answer

Coefficient: -1

Literal part: $$x^3$$

Degree: 3

Answer

Coefficient: -2

Literal part: $$x^3$$

Degree: 3

Question 11

Identify the coefficient, the literal part and the degree of the following monomial:

$$-xyz^3$$

Accepted Answer

Coefficient: -1

Literal part: $$xyz^3$$

Degree: 5

Answer

Coefficient: 0

Literal part: $$xyz^3$$

Degree: 3

Answer

Coefficient: -1

Literal part: $$xyz^3$$

Degree: 3

Answer

Coefficient: 0

Literal part: $$xyz^3$$

Degree: 5

Question 12

Simplify these algebraic expressions as much as possible:

$$x+2+3x-4$$

Accepted Answer

4x-2

Answer

2x+2

Answer

4x-6

Answer

2x

Question 13

Simplify these algebraic expressions as much as possible:

3a-2b+c-a+2b-2c

Accepted Answer

2a-c

Answer

2a+2b-c

Answer

4a-c

Answer

2a-4b-c

Question 14

Simplify these algebraic expressions as much as possible:

$$4ab^2-2a^2b+3b^2a+ba^2$$

Accepted Answer

$$7ab^2-a^2b$$

Answer

$$4ab^2-2a^2b+3b^2a+ba^2$$

Answer

$$6ab^2+4a^2b$$

Answer

$$2ab^2+4a^2b$$

Question 15

Identify if this equality is an identity or an equation:

5(x-1)=5x-5

Accepted Answer

Identity

Answer

Equation

Question 16

Identify if this equality is an identity or an equation:

3(x-3)=2x-8+x-1

Accepted Answer

Identity

Answer

Equation

Question 17

Identify if this equality is an identity or an equation:

x-1=1

Accepted Answer

Equation

Answer

Identity

Question 18

Identify if this equality is an identity or an equation:

$$x^2-x=x\left(x-1\right)$$

Accepted Answer

Identity

Answer

Equation

Question 19

Identify if this equality is an identity or an equation:

$$x^2+1=x\left(x-1\right)$$

Accepted Answer

Equation

Answer

Identity

Question 20

What is the degree of the following equation?

x+1=5x-7

Accepted Answer

1

Answer

5

Answer

-4

Answer

7

Question 21

What is the degree of the following equation?

$$x^2-2x+1=0$$

Accepted Answer

2

Answer

-2

Answer

1

Answer

0

Question 22

Solve the following equation:

x+1=-7

Accepted Answer

x=-8

Answer

x=8

Answer

x=1

Answer

x=-7

Question 23

Solve the following equation:

2x=8

Accepted Answer

x=4

Answer

x=2

Answer

x=8

Answer

x=6

Question 24

Solve the following equation:

4x-16=x-1

Accepted Answer

x=5

Answer

x=3

Answer

x=4

Answer

x=6

Question 25

Solve the following equation:

4(x+3)-(1-x)=1

Accepted Answer

x=-2

Answer

x=2

Answer

x=0

Answer

x=1

Question 26

Solve the following equation:

-2(x+6)+2=-4-(10-2x)

Accepted Answer

x=1

Answer

x=2

Answer

x=-1

Answer

x=0

Question 27

Solve the following equation:

Accepted Answer

x=-6

Answer

x=-2

Answer

x=6

Answer

x=2

Question 28

Solve the following equation:

Accepted Answer

x=-9/2

Answer

x=9/2

Answer

x=7/2

Answer

x=-7/2

Question 29

Peter has 37 more marbles than Daniel and the sum of the two is 143. How many marbles does each have?

Accepted Answer

Peter: 90

Daniel: 53

Answer

Peter: 100

Daniel: 43

Answer

Peter: 87

Daniel: 56

Answer

Peter: 101

Daniel: 53

Answer

Peter: 80

Daniel: 63

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