Math Quiz

2. Which expressions are equivalent to the number line shown below? Highlight all that apply.

• i. 5 + 2 - 4

• ii. 5 + (-3) + (-6)

• iii. -4 + 5 + 2

• iv. 5 - 3 - 6

• vi. (-6) + 5 + (-3)

3. There is a dolphin swimming in the ocean at 20 feet below sea level. There is a seagull flying above the water at an altitude of 12 feet. What is the difference between the locations of the dolphin and the seagull? Describe how you would show this on a number line and what is the difference (distance).

• -11

• 3

• 4

• 15

6. Look at the expression below. What value would x have to be in order to make the expression positive? Explain your answer.

a + (-8) + (-5)

• A few that work are -1 ➗3, 1 ➗-3, 1/-3, -(-1/-3), and -(-1 ➗-3)

•  (-4/9) * (-7/9) WHICH IS POSITIVE BECAUSE 2 NEGATIVES -> EVEN-> CANCEL OUT TO MAKE A POSITIVE

•  (-4/9) - (-7/9) SPECIAL RULE = (-4/9) + 7/9 = 3/9 POSITIVE

• 14 + (-8) + (-5) = 14 + (-13) = R14 and L13 = R1 = 1

7. Create 5 fractions/division problems that are equivalent to the expression -1/3

• A few that work are -1 ➗3, 1 ➗-3, 1/-3, -(-1/-3), and -(-1 ➗-3)

• -4/9 WHICH IS NEGATIVE

•  (-4/9) + (-7/9)

•  + 3 - 4

  vi. (-6) + 5 + (-3)

6. On the number line below, let x = -4/9 and y = -7/9

Which expressions will give a negative result? Explain why for each. Plug them in!!!!!

• x + y = (-4/9) + (-7/9) = L4/9 and L7/9 = L11/9 = -11/9 NEGATIVE

• x - y = (-4/9) - (-7/9) SPECIAL RULE = (-4/9) + 7/9 = 3/9 POSITIVE

• X = -4/9 WHICH IS NEGATIVE

• x*y = (-4/9) * (-7/9) WHICH IS POSITIVE BECAUSE 2 NEGATIVES -> EVEN-> CANCEL OUT TO MAKE A POSITIVE

• -x/y = -(-4/9)/(-7/9) WHICH IS NEGATIVE BECAUSE 3 NEGATIVES -> ODD -> NEGATIVE SOLUTION

Is 3/4 a Rational or Irrational

• Irrational

• Rational

1.75 a Rational or Irrational

• rational

• iraational

0.23456... a Rational or Irrational

• irrational

• rational

0.222... a Rational or Irrational

• Rational

• Iraational

-5 a Rational or Irrational

• Irrational

• Rational