REFUERZO EVALUACIÓN 3 ALGEBRA

A scenic train ride has one price for adults and one price for children. One family of two adults and two children pays $62 for the train ride. Another family of one adult and four children pays $70. Which system of linear equations can you use to fi nd the price x for an adult and the price y for a child?

• $2x\ +2y\ =\ 70\$
  $x\ +4y\ =\ 62$
  

• $x\ +\ y\ =\ 62$
  $x\ +\ y\ =\ 70$
  

• $2x\ +\ 2y=\ 62$
  $4x\ +\ y\ =70$
  

• $2x\ +\ 2y\ =\ 62$
  $x\ +\ 4y=\ 70$
  

A drama club earns $1040 from a production. A total of 64 adult tickets and 132 student tickets are sold. An adult ticket costs twice as much as a student ticket. What is the price of each type of ticket?

• Adult ticket costs $8 and a student ticket costs $4.

• Adult ticket costs $4 and a student ticket costs $2.

• Adult ticket costs $2 and a student ticket costs $4

• Adult ticket costs $4 and a student ticket costs $8.

El sistema de ecuaciones representado gráficamente es:

• y + 2x =4

  y - x = 1

• - 2x + y = 4

  x + y = 1

• 2x - y = 2

  y + x = -2

• x -2y = 4

  -x + y = 1

La cantidad de cifras significativas del siguiente número:

0.0567

• 3

• 4

• 5

• 2

Redondear a dos cifras significativas el siguiente número:

75832

(a)  

Simplifica: $\frac{4}{3\ +\ \sqrt{5}}$  

•  $3-\sqrt{5}$  

•  $\frac{12-4\sqrt{5}}{-2}$  

•  $6-2\sqrt{5}$  

•  $\frac{12-4\sqrt{5}}{8}$  

Simplifica:

 $\sqrt{\frac{2x^3}{3y}}=$  

•  $\frac{x\sqrt{6xy}}{3y}$  

•  $\sqrt{\frac{6xy}{3y}}$  

•  $\frac{\sqrt{6xy}}{3y}$  

•  $\frac{x^2\ \sqrt{6xy}}{3y}$  

Resuelve el siguiente sistema de ecuaciones lineales:

• (3,0)

• (2,1)

• (3,2)

• (0,2)

Es un número irracional

• $\sqrt{196}$

• $\sqrt{-64}$

• $\sqrt{43}$

• $64^{\frac{2}{3}}$

Se tienen $120,000 en 33 billetes de a $5,000 y de a $2,000 ¿Cuántos billetes son de $5,000 y cuántos de $2,000?

• 15 billetes de $5000 y 18 billetes de $2000

• 15 billetes de $2000 y 18 billetes de $5000

• 10 billetes de $5000 y 23 billetes de $2000

• 14 billetes de $5000 y 19 billetes de $2000