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REFUERZO EVALUACIÓN 3 ALGEBRA

Total questions: 10

Worksheet time: 17mins

Name
Class
Date
1.

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?

a)

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

b)

x + y = 62x\ +\ y\ =\ 62
x + y = 70x\ +\ y\ =\ 70

c)

2x + 2y= 622x\ +\ 2y=\ 62
4x + y =704x\ +\ y\ =70

d)

2x + 2y = 622x\ +\ 2y\ =\ 62
x + 4y= 70x\ +\ 4y=\ 70

2.

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?

a)

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

b)

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

c)

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

d)

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

3.

El sistema de ecuaciones representado gráficamente es:

a)

y + 2x =4

y - x = 1

b)

- 2x + y = 4

x + y = 1

c)

2x - y = 2

y + x = -2

d)

x -2y = 4

-x + y = 1

4.

La cantidad de cifras significativas del siguiente número:

0.0567

a)

3

b)

4

c)

5

d)

2

5.

Redondear a dos cifras significativas el siguiente número:

75832

(a)  

6.

Simplifica: 43 + 5\frac{4}{3\ +\ \sqrt{5}}  

a)

 353-\sqrt{5}  

b)

 12452\frac{12-4\sqrt{5}}{-2}  

c)

 6256-2\sqrt{5}  

d)

 12458\frac{12-4\sqrt{5}}{8}  

7.

Simplifica:

 2x33y=\sqrt{\frac{2x^3}{3y}}=  

a)

 x6xy3y\frac{x\sqrt{6xy}}{3y}  

b)

 6xy3y\sqrt{\frac{6xy}{3y}}  

c)

 6xy3y\frac{\sqrt{6xy}}{3y}  

d)

 x2 6xy3y\frac{x^2\ \sqrt{6xy}}{3y}  

8.

Resuelve el siguiente sistema de ecuaciones lineales:

a)

(3,0)

b)

(2,1)

c)

(3,2)

d)

(0,2)

9.

Es un número irracional

a)

196\sqrt{196}

b)

64\sqrt{-64}

c)

43\sqrt{43}

d)

642364^{\frac{2}{3}}

10.

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?

a)

15 billetes de $5000 y 18 billetes de $2000

b)

15 billetes de $2000 y 18 billetes de $5000

c)

10 billetes de $5000 y 23 billetes de $2000

d)

14 billetes de $5000 y 19 billetes de $2000