Question 1

What is the solution to the equation (2x − 5)= 19 − 6x?

Accepted Answer

x=3

Answer

x= 1 $\frac{2}{3}$

Answer

x= 3 $\frac{2}{3}$

Answer

x= -3

Question 2

What is the solution to this equation?

3(0.1x + 2) = 14.8 − 0.8x

Accepted Answer

8

Question 3

Wally is practicing to run the quarter mile race in an upcoming track meet. He wrote down his times, in seconds, during practice. His data is shown.

65, 92, 71, 83, 86, 69, 79, 90

What is the mean absolute deviation of the data?

Accepted Answer

2.88

Answer

28.8

Answer

2

Answer

15.1

Question 4

What value of x makes this equation true?

1 + 2(x − 5) = 3(x − 1)

Accepted Answer

-6

Question 5

Javier and his brother Antonio are selling bags of popcorn to raise money for their baseballteam to travel to Florida for a tournament.

• Javier is selling his bags of popcorn for $7.50 each and has already raised $120.00.

• Antonio is selling his bags of popcorn for $6.00 each and has already raised $162.00.

Which equation can be used to determine x, the number of bags of popcorn Javier andAntonio must each sell, so that the total amount of money they raise is the same?

Accepted Answer

7.50x + 120 = 6x + 162

Answer

120 − 7.50x = 162 − 6x

Answer

7.50x − 120 = 6x − 162

Answer

120x + 7.50 = 162x + 6

Question 6

Mrs. Feinstein recorded the weight, in pounds,of each of her 8 great grandchildren. Her datais shown.

45, 52, 31, 27, 38, 60, 44, 55

What is the mean absolute deviation of the data?

Accepted Answer

x = 9

Question 7

Seth wants to find out if students at Hillsboro High School go to the football games. He decides to take a sample rather than ask every student. He asks the first15 freshmen leaving the library. Which statement about the sample is true?

Accepted Answer

This sample is not a random sample.

Answer

This sample is representative of the population.

Answer

This sample includes the entire student population

Answer

This sample gives all students an equal chance of being selected.

Question 8

The side lengths of a triangle and a rectangle are shown in the diagram.

The perimeter of the triangle is equal to the perimeter of the rectangle. What is the value of x?

Accepted Answer

4

Question 9

Mrs. Williams wants to determine which year-end celebration to choose for the students. She wants student input, so she needs to choose a sample of 20 students from the school. Which of the samples shown is a random sample?

Accepted Answer

Give every student a number and select 20 numbers from a box without looking.

Answer

Choose the 20 students who volunteer for the school fundraising eventthis Friday.

Answer

Choose the first 20 students to arrive in the library in the morning.

Answer

Choose the first 20 students from an alphabetized school roster.

Question 10

Sylvia has a solid red plastic container with 45 wooden shapes inside of it. She wants toselect 6 shapes at random. She proposed that she should just reach in and pull out 6 shapeswithout looking. Why will this NOT produce a random sample?

Accepted Answer

This will not produce a random sample because the larger shapes are more likely to be selected when she reaches in the container because of their size.

Answer

This will not produce a random sample because she can feel the shapes when she reaches in to pull a shape from the container.

Answer

This will not produce a random sample because she is not looking when she pulls a wooden shape from the container.

Answer

This will not produce a random sample because the more colorful shapes are more likely to be selected since she can see them when she pulls a shape from the container.

Question 11

Consider the equation $\frac{2}{3}$ (9x + 9) = $\frac{1}{6}$ (18x + 6).

Accepted Answer

no solution

Question 12

What value of x makes this equation true?

$\frac{7(3x−2)}{4}$ = −14 + 6x

Accepted Answer

x=14

Answer

14

Answer

x = 14

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