Math Final

When multiplying two negative integers, what is the sign of the product?

positive

On Friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. On Saturday, their lane rentals were down by 1/8 but the concessions increased by 1/2. What is the total amount that the bowling alley earned in lane rentals and concessions on Friday and Saturday?

$2,611.05

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes?

$3.50

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

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

Which expression has a positive value?

(-5)(-9)

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

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

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

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

-2

What is the value of the expression below? 7/2-4.5*3+8

-2

What is the quotient? -4/5/2

-2/5

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

-4

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

1

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

1 4 7 8 "incorrect"

What is the simplified value of the expression below? 1/3/2/3

1/2

Which expression has the same value as the one below?

12 + (-9

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

15

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

A recipe shows that the yeast needed for a bread recipe is 2 1/3ounces. Which of the following decimals is equivalent to this number?

2.3 bar on top of 3

What is the simplified value of the expression below? -8*(-3)

24

Liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?

3

Eliza's backpack weighs 18 7/9 pounds with her math book in it. Without her math book, her backpack weighs 14 7/8 pounds. How much does Eliza's math book weigh?

3 65/72

Suppose that P partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?

3600/p

Which is the best estimate of 11 1/5/2 3/4?

4

What is the distance between -3 and 2 on the number line?

5

Dianna made several cakes yesterday. Each cake required 2 2/3cups of flour. All together, she used 13 1/3 cups of flour. How many cakes did Dianna make?

5 cakes

Which number is rational? -2.1010010001... -0.8974512... 1.2547569... 5.3333333...

5.3333333...

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

53 miles per hour

A science experiment calls for mixing 3 2/3 cups of distilled water with 1 3/4 cups of vinegar and 2/3 cups of liquid detergent. How much liquid in all, in cups, is needed?

6 1/12

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

7

Chen is baking cookies and a cake for a party. He needs 3 1/5 cups of flour to make the cookies and 3 2/3 cups of flour to make the cake. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?

7 cups of flour

At a farmers market, Samuel bought 3 pounds of apples for x dollars per pound and 2 bags of spinach for y dollars each. The next day he returned and bought 5 pounds of apples for x dollars per pound and 3 bags of spinach for y dollars each. Which expression represents the total amount he spent at the market on both days?

8x+5y

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.

Carlos biked 139/8 miles on Saturday and 135/7 miles on Sunday. On which day did he ride further and by how much?

Carlos rode further on Sunday by 1 51/56

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.

Yuri's sister Karina is 12 years old. In the equation below, y represents Yuri's age in years. 12=3y-2

Karina is 2 years younger than triple Yuri's age.

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.

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.

Bill claims that he found the actual December temperature by adding either -5 + 3 or 3 + -5. What property did Bill use?

commutative property

Which situation is best represented using a negative integer?

the temperature decreasing by 18º

Half of a number minus seven is one and five-tenths.

x/2-7=1.5

Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?

$45.75

Tamir buys tickets to two concerts this season. One has a face value of $32.50, and one has a face value of $26.50. He uses a coupon and gets both tickets at 1/4 off. If he pays with a $50 bill, how much change should Tamir receive?

$5.75

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. Each time that this totaled 20 feet deeper, she would stop and check her instruments to make sure they were working properly. After Laurie had checked her instruments 3 times, she was at her maximum depth. Which expression best represents Laurie's maximum depth?

(4)(-5)(3)

A sign language club made $627.50 from selling popcorn at a festival. The popcorn cost the club $95.00. Which expression represents the amount of money that was raised for each member of the club?

(627.50-95)/m

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

Which of the following terminating decimals is equivalent to -1 3/4/

-1.75

What is the difference between -4 and 6?

-10

A submarine hovers at 66 2/3 yards below sea level. If it ascends 24 1/8 yards and then descends again 78 3/4 yards, what is the submarine's new position, in yards, below sea level?

-121 7/24

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

-14xn

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 ? "correct" -5 yards "incorrect" 5 yards 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

A diver dives 17 2/3 yards and then comes back to the surface. Then, she dives 9 3/8 yards deeper than her first dive. What is her depth, in yards, in relation to the surface of the water?

-27 1/4

A recipe that makes 4 servings calls for 2/3 cup of flour. uses a large container of flour to make 20 servings of the recipe. What number represents the change in the amount of flour from the large container?

-3 1/3 cups

What is the sum of the fractions? Use the number line to help find the answer. 3/5+(-7/5)

-4/5

Which of the following repeating decimals is equivalent to -5 1/9?

-5.1 bar on top of 1

Which is the best estimate of (-3/5)(17 5/6)?

-9

Yasmine finds the absolute value of -655. Which expression represents this value?

0-(-655)

Which of the following terminating decimals is equivalent to 3/8?

0.375

Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20 cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need?

1/6 cups

A science experiment calls for mixing 4 3/4 cups of distilled water with 5 3/4 cups of vinegar and cups of liquid detergent. How much liquid in all, in cups, is needed?

10 1/2 cups

Alexia ran three laps around her neighborhood. Each lap is 1 3/8 miles. Which is the best estimate of the number of miles that Alexia ran?

4 1/2 miles

There are 3 different cheeses at the deli. Yasuko buys 3/4 of a pound of each. There are also 4 different meats. She buys 1/2 of a pound of each. How much total food did Yasuko buy at the deli?

4 1/4 pounds

What is the value of 3 - (-2)?

5

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?

6

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

6+8

Morena, a scuba diver, used the expression below to describe her position in relation to sea level. 0 + (-15) + 6

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

George is comparing the sizes of two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 1/3 cm. Which statement explains which phone has the wider screen.

Screen B is wider, because 5.3 > 5 1/3

Rita is adding 3 + (-8) + 1. She rewrites the expression as 3 + (-1) + 8. What is Rita's error? She used the commutative property, which cannot be used with negative numbers. In the new expression, -8 and 1 should both be negative. She used the associative property which should only be used with positive numbers.. She switched the negative signs for -8 and 1.

She used the commutative property, which cannot be used with negative numbers. In the new expression, -8 and 1 should both be negative. "incorrect" She used the associative property which should only be used with positive numbers.. She switched the negative signs for -8 and 1. "correct"

Juan is rewriting the expression 12d-26c as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Check all that apply.

The GCF of the numbers in each term in the expression is 2. The factored expression is 2(6d-13c)

Aaron claims the same answer could also be found by adding either -5 + 3 or -3 + 5. What is the error in Aaron's reasoning?

The negative signs were switched

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. "correct" The possible values are less than -4. "not correct" The possible values are less than 4 but greater than -4. The possible values are either greater than 4 or less than -4.

What is the product of any integer and -1?

The product is the opposite of the integer. The product is the integer unchanged. The product is positive. The product is negative. "incorrect"

A meteorologist used the expression below to describe how the temperature changed. -5 + (-4) Which statement could describe how the temperature changed?

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

Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of -3 5/8 and Zack has a score of -3 2/3. Which statement explains who won?

Vanessa won. If you compare the decimal equivalents of their scores, -3.666 < -3.625.

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