Algebra Tools: 전제 확인
저희는 최대한 쉬운 말로 어려운 개념을 가르칩니다. 필요한 말과 개념을 아는지 확인해봅시다. 이 테스트에서 80% 이상의 점수를 받고 에서는 70% 미만의 점수를 받는다면 이 강좌가 적합합니다. 이해해야 할 기본 내용만 확인하므로, 이 시험은 아주 쉬울 것입니다.
남은 시간:
10:00
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.
\(3ya\)
\(3by\)
\(9ab\)
\(ay\)
\(3x\)