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Algebra Tools: comprobación de requisito previo

Enseñamos conceptos difíciles con las palabras más simples posibles. Vamos a corroborar que conozcas los términos y las ideas que se necesitan. Este curso es el correcto si obtienes al menos 80% en esta prueba, pero menos del 70 % de la prueba de exención. Esta prueba debería ser muy fácil para ti, solo comprobaremos que sepas lo básico para entender.

Tiempo restante:

10:00

1.

What is 10%10\% of 894?894?
89408940
8.948.94
89.489.4
10894\displaystyle \frac{10}{894}
894100\displaystyle \frac{894}{100}

2.

Which of these choices is the biggest?
23\displaystyle \frac{2}{3}
0.333‾0.\overline{333}
25\displaystyle \frac{2}{5}
46\displaystyle \frac{4}{6}
57\displaystyle \frac{5}{7}

3.

Simplify:
5x+1+5x2x2+x \frac{5}{x+1} + \frac{5x^2}{x^2 + x}
55
xx
5x2+xx2+x+1\displaystyle \frac{5x^2 + x}{x^2 + x + 1}
5+x5 + x
5x+1\displaystyle \frac{5}{x+1}

4.

What is the average of x+5x+5 and x−9?x-9?
x−2x - 2
−2-2
−4-4
xx
x−4x - 4

5.

Solve this equation for x:x:
3x3−1=374 3x^3 - 1 = 374
x=25x = 25
x=5x = 5
x=55x = 5 \sqrt{5}
x=125x = 125
x=3753x = \sqrt[3]{375}

6.

Simplify:
(6x+2y)(0.5y−1.5x) (6x + 2y) (0.5y - 1.5x)
3y2+9x+x23y^2 + 9x + x^2
2.5y+4.5x2.5y + 4.5x
4.5y+2.5x4.5y + 2.5x
−9x2+xy+y2-9x^2 + xy + y^2
y2−9x2y^2 - 9x^2

7.

Which of the following is equivalent to
(3x+1)(6x+1)3? \frac{(3x + 1)(6x + 1)}{3} ?
Choose all of the following that apply.
(x+13)(6x+1)\displaystyle \left(x + \frac{1}{3}\right)(6x + 1)
(3x+1)(2x+13)\displaystyle (3x+1)\left(2x + \frac{1}{3}\right)
(x+13)(2x+13)\displaystyle \left(x + \frac{1}{3}\right)\left(2x + \frac{1}{3}\right)
(x+1)(2x+1)(x+1)(2x+1)
6x2+3x+13\displaystyle 6x^2 + 3x + \frac{1}{3}

8.

A root, or solution, of the equation
10x2−15x+7=0 10x^2 - 15x + 7 = 0
is which of the following?
x=0x = 0
x=1x = 1
A value of xx that makes 10x2−15x=710x^2 - 15x = 7 true
A value of xx that makes 10x2−15x+710x^2 - 15x + 7 equal to zero
The square root of 10x2−15x+710x^2 - 15x + 7

9.

Which of the following are terms in the expansion of
(ay+3)(by+3)? (ay + 3) (by + 3)?
Choose all of the following that apply.
3ya3ya
3by3by
9ab9ab
ayay
3x3x