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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 place-out test

Tiempo restante:

10:00

1.

What is \(10\%\) of \(894?\)

\(8940\)

\(8.94\)

\(89.4\)

\(\displaystyle \frac{10}{894}\)

\(\displaystyle \frac{894}{100}\)

2.

Which of these choices is the biggest?

\(\displaystyle \frac{2}{3}\)

\(0.\overline{333}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{4}{6}\)

\(\displaystyle \frac{5}{7}\)

3.

Simplify:

\[ \frac{5}{x+1} + \frac{5x^2}{x^2 + x} \]

\(5\)

\(x\)

\(\displaystyle \frac{5x^2 + x}{x^2 + x + 1}\)

\(5 + x\)

\(\displaystyle \frac{5}{x+1}\)

4.

What is the average of \(x+5\) and \(x-9?\)

\(x - 2\)

\(-2\)

\(-4\)

\(x\)

\(x - 4\)

5.

Solve this equation for \(x:\)

\[ 3x^3 - 1 = 374 \]

\(x = 25\)

\(x = 5\)

\(x = 5 \sqrt{5}\)

\(x = 125\)

\(x = \sqrt[3]{375}\)

6.

Simplify:

\[ (6x + 2y) (0.5y - 1.5x) \]

\(3y^2 + 9x + x^2\)

\(2.5y + 4.5x\)

\(4.5y + 2.5x\)

\(-9x^2 + xy + y^2\)

\(y^2 - 9x^2\)

7.

Which of the following is equivalent to

\[ \frac{(3x + 1)(6x + 1)}{3} ? \]

Choose all of the following that apply.

\(\displaystyle \left(x + \frac{1}{3}\right)(6x + 1)\)

\(\displaystyle (3x+1)\left(2x + \frac{1}{3}\right)\)

\(\displaystyle \left(x + \frac{1}{3}\right)\left(2x + \frac{1}{3}\right)\)

\((x+1)(2x+1)\)

\(\displaystyle 6x^2 + 3x + \frac{1}{3}\)

8.

A root, or solution, of the equation

\[ 10x^2 - 15x + 7 = 0 \]

is which of the following?

\(x = 0\)

\(x = 1\)

A value of \(x\) that makes \(10x^2 - 15x = 7\) true

A value of \(x\) that makes \(10x^2 - 15x + 7\) equal to zero

The square root of \(10x^2 - 15x + 7\)

9.

Which of the following are terms in the expansion of

\[ (ay + 3) (by + 3)? \]

Choose all of the following that apply.

\(3ya\)

\(3by\)

\(9ab\)

\(ay\)

\(3x\)