Math Assumed Knowledge Quiz

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Welcome to math pre-test. This pre-test will not have any bearing on your application to our program. The purpose of the test is to give you an idea of the material that is assumed knowledge in our programs. It is well understood that your math may be somewhat rusty, but you should be willing to catch up on the basic math by yourself using the resources which you will find in the explanation to the quiz questions.

1. Compute \({(-8)}^{-1/3}\)

-2

0.5

-0.5

2. The diagram shows the line

What is the slope of the line?

\(\sqrt{3}\)

-\(\sqrt{3}\)

\(\frac{1}{ \sqrt{3} }\)

\(-\frac{1}{ \sqrt{3} }\)

3. Evaluate the function \(f(x)= 2-x^2\) at the following two points: \( x=-6, x=u^2 \)

\(-34, u^4-2\)

\(38, 2-u^4\)

\(-34, 2-u^4\)

\(38, u^4-2\)

4. What is the inequality for \(x\) that describes the solutions of \(2 – 3x ≤ 8\)?

\(x \geq - 2\)

\(x \leq 2\)

\(x \geq - 3\)

\(x \leq 3\)

5. What is the solution of \( 5^x=4 \) ?

Note: \( \ln \) denotes the natural logarithm \( \log_e \)

\( x = \ln \frac{4}{5}\)

\( x = \frac{\ln 4}{5}\)

\( x = \frac{ 4}{\ln 5}\)

\( x = \frac{\ln 4}{\ln 5}\)

6. Which expression is a factorization of \(x^3-4x^2-25\)?

\( (x^2-5)(x+1) \)

\( (x+5)^2 (x-1) \)

\( (x^2+x+5) (x-5) \)

\( (x-5) (x+5) (x-1)\)

7. Solve the following system of equations for x and y

\(2x - y =9\)

\(x + 2y =2\)

\(x= 4 ; y=-1\)

\(x= 2 ; y=-5\)

\(x= 1 ; y=2\)

\(x= 3 ; y=0\)

8. Which of the following events would be MOST likely to occur?

Upon tossing a coin twice in a row, you see heads come up both times

Upon rolling a standard six-sided die, you see a 3 come up

Upon asking someone what month they were born, they tell you it was June

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