short math

MATH 107 Quiz 1

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Each question is worth 5 points. Questions 1 – 5 are multiple choice; you do not need to show your work. Short answers for Questions 6 – 10; show your work to earn full credit – highlight answers in yellow or draw a box around the answer. You can insert additional lines if needed.

Leave answers in exact form unless otherwise directed to approximate the results. Write all fractions in lowest form and round decimals to hundredths. Write answers using positive exponents except when using scientific notation. Simplify all radicals and rationalize the denominators. Write complex numbers in the form a + bi. Applied problems must have the variables identified and an equation for full credit.

MULTIPLE CHOICE Check the box of the one alternative that best completes the statement or answers the question.

1.) Consider the numbers 0.149173...., , -12, 0, , , , 0.27, . Which are irrational numbers?

☐ 0.149173....,, ,

☐ ,

☐ 0.149173....,,

☐ 0.149173....,,

☐ None of these

2.) Write interval notation. { x ∣ -4 ≤ x < 0 }

☐ (-4, 0)

☐ [-4, 0)

☐ (-4, 0]

☐ [-4, 0]

☐ None of these

3.) Calculate.

☐

☐ -13

☐ 17

☐ 1

☐ None of these

4.) Solve the inequality. Write answer in interval notation.

☐

☐

☐

☐

☐ None of these

5.) Rationalize the denominator.

☐

☐

☐

☐

☐ None of these

1

Short answers. You must show your work to earn full credit. Highlight answers in yellow or draw a box around the answer.

6.) Simplify. (You can copy this fraction to show your work if using equation editor.)

7.) Solve for h.

8.) Factor completely.

9.) A computer can do one calculation in 1.4 × 10-7 seconds. How long would it take the computer to do a trillion (1012) calculations? (Give answer in scientific notation.)

10.) Solve for y. -13 - (3y + 1) = 2(y + 2) + 4y