Math Unit Test

Brianna spent a total of $52 on 4 used video games. What was the average cost of a game?

$13 per game

Owen plots the numbers 4, -6, -8, and -3 on a horizontal number line. Which list shows the numbers in the order in which they would appear from left to right on the number line?

-8, -6, -3, 4

What is the difference between the absolute value of 4 and the absolute value of -3?

1

Which expression has the same value as the one below? 8+[4+(-9)]

12+(-9)

Ingrid spends $120 on car repairs. Which integer represents the amount of money Ingrid must earn in order to create a zero pair?

120

The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?

14

What is the value of the expression -225 / (-15)?

15

What integers are plotted on the number line below?

-8 and -2

What is the value of the expression below? -8+19+8

19

What is the value of the expression 30 / (-6)?

-5

Which expression is modeled by this set of arrows on the number line?

-6 / 3

Which expression is represented by the diagram?

-6-(-1)

Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the absolute values of the numbers is 150. What are the two numbers?

-75 and 75

Which shows two expressions that are equivalent to(-7)(-15)(-5) ?

(-1)(525) and (35)(-15)

At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which expression best shows another way to write the product for the temperature change?

(-1)(7+7+7)

Which shows two expressions that are equivalent to(-8)(-12)(2) ?

(-8)(-24) and (-16)(-12)

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?

(-8)+(-8)+(-8)+(-8)

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. After Laurie had checked her instruments 3 times, she was at her maximum depth of 60 feet. Which expression best represents Laurie's maximum depth?

(4)(-5)(3)

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?

-1

What is the solution to the expression -2-3-(-4)?

-1

A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales. Empty Scale Weight Displays Scale 1 -1 ounce Scale 2 -2 ounces Scale 3 0 ounces Scale 4 -1 ounce What is the average error in the scale displays?

-1 ounces

A football team has attempted 6 running plays. The change in field position resulting from each play is shown in the table. Running Play Outcomes Play 1 -3 yards Play 2 2 yards Play 3 -1 yard Play 4 -2 yards Play 5 -3 yards Play 6 1 yard What is the average change in field position per running play?

-1 yard per play

Which expression below is represented by the diagram?

-10-(-4)

The temperature of a freezer started at 18ºC. After cooling for a few hours, the freezer had a temperature of -12ºC. What is the difference between the new, colder temperature and the original temperature?

-12-18

Which expression can be used to check the answer to 56 / (-14)=-4?

-14x-4

Alaina has $28 in her account. She wants to purchase a pair of shoes that costs $45. If Alaina makes the purchase, which integer will represent the amount of money in Alaina's account?

-17

Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base. Which best represents Garrett's position with respect to the water level?

-18 feet

Janelle subtracts -4 from a number. The result is 2. What is the number?

-2

Jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?

-20

Bobby's football team received four five-yard penalties in the first quarter, which meant his team lost yardage in their progress toward the goal line. What was the change in their progression down the field as a result of these penalties?

-20 yards

Gemma, a scuba diver, begins a dive on the side of a boat 4 feet above sea level. She descends 28 feet. Which integer represents Gemma's position with respect to sea level?

-24

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the following week. What is the average change in the price of the stock over the three weeks?

-30 cents per week

Indira is using a number line to add -1+(-3). She begins by showing -1 on the number line, as shown below. What is the sum of -1+(-3)?

-4

What is the value of the expression? -16+12

-4

What is the product of (-6)(-7)(-1) ?

-42

Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea?

-433

The Statue of Liberty in New York stands on top of a foundation and a pedestal. The statue, including foundation and pedestal, measures about 305 feet from the ground to the top of the statue's torch. The statue herself stands 151 feet. What is the height of the foundation and pedestal?

154 feet

The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon?

2+3

Which addition does the model below represent?

3+(-4)

Which addition problem does the model below represent?

4+(-7)=-3

What is the product of -5 and -8?

40

Which expression is modeled by this arrangement of tiles?

40 / 10

What is the product of -12 and -4?

48

Alicia drove 265 miles in 5 hours. What is the average rate that she traveled?

53 miles per hour

What is the absolute value of -6? Use the number line to help answer the question. -7 -6 6 7

6

Which expression has the same sum as the one below? -15+6

6+(-15)

Which expression is equivalent to 6-(-8) ?

6+8

What is the value of x in the equation below? -3-(-8)-(-2)=x

7

Which of the following expressions does the graphic represent?

8-1

What number is represented by the arrow?

9

Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement.6+(-8) Which statement could describe Ahmed's movement?

Ahmed started 6 floors above ground level, then he went down 8 floors

How can the additive inverse be used to evaluate the problem below? -3-(-6)

Because -3+6 is an equivalent expression, the answer is 3.

Which best describes the solution to 4-7 ?

Because 4+(-7) is an equivalent expression, the answer is -3.

Michael is using a number line to evaluate the expression -8 - 3. After locating -8 on the number line, which step could Michael complete to evaluate the expression?

Michael could rewrite the expression as -8+-3 and move 3 spaces to the left.

Jordan is using a number line to model the division expression . What should be a step in his work?

Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at -24.

The quotient of two numbers is negative. What must be true about the two numbers?

Either the dividend or the divisor is negative, but not both.

Morena, a scuba diver, used the expression below to describe her position in relation to sea level. 0+(-15)+6 Which statement could describe the diver's movements?

Morena started at sea level, dove down 15 feet, then rose up 6 feet.

Veronica wants to check her work after evaluating -108 / (-6) . What steps can she follow to verify her answer?

Multiply her answer by -6 and see if the result is -108

Which point on the number line represents the product (-4)(-2)(-1)?

Point A

Sebastian was in a hotel lobby and took the elevator up 7 floors to his room. Then he took the elevator down 9 floors to the parking garage. He described his movement with the expression below. 9+(-7) What is Sebastian's error?

Sebastian should have used -9 and 7.

Mr. Brookins asked his students to plot an integer on a number line. Which two students could have represented the same number?

Serena and Aaron

Rita is adding 3+(-8)+1. She rewrites the expression as 3+(-1)+8. What is Rita's error?

She switched the negative signs for -8 and 1.

A scuba diver used the expression below to describe his position in relation to sea level. Which statement could describe the diver's movements?

Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.

What error did Louise make in her model?

The arrows should start at zero.

Carlos is using a number line to add another integer to -4. He begins by showing -4 on the number line, as shown below. Carlos adds the other integer on the number line and says that the sum is negative. Which is true of the number Carlos added to -4?

The number could be 3 or any integer less than 3

Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible values of Javier's number?

The possible values are less than 4 but greater than -4.

What is the product of any integer and -1?

The product is the opposite of the integer

Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer?

The second integer is greater than the first integer.

A meteorologist used the expression below to describe how the temperature changed. Which statement could describe how the temperature changed?

The temperature was -5 degrees, then it decreased 4 degrees.

Sean says that to add a number to -100 and still have -100 is to add zero. Candice says that she can add two numbers to -100 and still have -100. Who is correct and why?

They are both correct because adding two numbers that are opposites is equivalent to adding zero.

Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go. Which word in the problem indicates that a negative integer should be used?

descends

Which situation is best modeled with a division expression?

the cost per pint of 3 pints of blueberries if the total cost was $6

Which situation is best represented using a negative integer?

the temperature decreasing by 18 degrees.