Question

1. which list of numbers is ordered from least to greatest?

a 6 3/4, 6.57, - 6.53, - 6 1/4
b - 6.53, - 6 1/4, 6.57, 6 3/4
c 6 3/4, 6.57, - 6 1/4, - 6.53
d - 6 1/4, - 6.53, 6.57, 6 3/4

1. what percent is represented by the diagram below?

a 13%
b 65%
c 130%
d 650%

1. solve the equation below for x.

x - 15 = 76
a x = 15
b x = 61
c x = 91
d x = 106

1. which of the following is a list of equivalent numbers?

a 1.25, 1 1/4, 12.5%
b 0.125, 1/4, 12.5%
c 12.5, 12 1/2, 125%
d 1.25, 1 1/4, 125%

1. the boiling point of water is 212°f. the boiling point of helium is - 452°f. how would you compare the temperatures using an inequality?

a - 452°f < 212°f
b - 452°f > 212°f
c 212°f < - 452°f
d 212°f > 452°f

1. sierra and alek each have five cousins. their ages are listed below.

sierras cousins: {2, 11, 12, 13, 15}
aleks cousins: {9, 11, 11, 12, 13}
which of the following statements is true?
a for both sets of data, the median is equal to the mean.
b the ages of sierras cousins are more spread out than those of aleks cousins.
c the mean age of sierras cousins is greater than that of aleks cousins.
d there are no outliers.

Explanation:

Step1: Analyze question 19

Negative numbers are less than positive numbers. -6$\frac{1}{4}$=-6.25, so -6.53 < -6.25 < 6.57 < 6$\frac{3}{4}$ = 6.75.

Step2: Analyze question 20

Assume each grid is 1%. Count shaded grids. There are 65 shaded grids out of 100, so 65%.

Step3: Analyze question 21

Solve x - 15 = 76. Add 15 to both sides: x=76 + 15=91.

Step4: Analyze question 22

1.25 = 1$\frac{1}{4}$ = 125%, 0.125=$\frac{1}{8}$=12.5%, 12.5 = 12$\frac{1}{2}$=1250%. So B is correct.

Step5: Analyze question 23

Negative temperature -452°F is less than positive 212°F, so -452°F < 212°F.

Step6: Analyze question 24

For Sierra's cousins: range = 15 - 2=13. For Alek's cousins: range = 13 - 9 = 4. Sierra's data has a larger range, meaning more spread - out.

Answer:

1. B. -6.53, -6$\frac{1}{4}$, 6.57, 6$\frac{3}{4}$
2. B. 65%
3. C. x = 91
4. B. 0.125, $\frac{1}{8}$, 12.5%
5. A. -452°F < 212°F
6. B. The ages of Sierra's cousins are more spread out than those of Alek's cousins.