1 of 71 of 7 Items
Question 1
1. If the absolute value of x is 5, what is the value of x?(1 point)
Responses
5
5
-25 or 25
-25 or 25
-5 or 5
-5 or 5
-5
-5
35 answers
-5 or 5
which one
The value of x could be -5 or 5.
The integer -20 would BEST represent which of these events?
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
(1 point)
Responses
II and III
II and III
II only
II only
I only
I only
I and III
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
(1 point)
Responses
II and III
II and III
II only
II only
I only
I only
I and III
I and III
3. Which of these situations illustrates two quantities that combine to make 0?(1 point)
Responses
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
A business whose expenses are more than their profit.
A business whose expenses are more than their profit.
Marcus scores 900 points playing a video game and then loses over half of those points.
Responses
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
A business whose expenses are more than their profit.
A business whose expenses are more than their profit.
Marcus scores 900 points playing a video game and then loses over half of those points.
A business whose expenses are more than their profit.
On a number line, what is the distance between -67 and 14?(1 point)
Responses
81
81
-81
-81
-53
-53
53
53
Responses
81
81
-81
-81
-53
-53
53
53
The distance between -67 and 14 on a number line is 81.
5. Madison has $650 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account?(1 point)
Responses
$330
$330
$440
$440
$490
$490
$380
Responses
$330
$330
$440
$440
$490
$490
$380
Madison has $380 left in her account.
. On Friday morning the temperature was 67°F. The temperature dropped 6°F and then rose 10°F. How much does the temperature need to rise or fall to return to the initial temperature of 67°F?(1 point)
Responses
Rise 4°
Rise 4°
Fall 4°
Fall 4°
Fall 10°
Fall 10°
Rise 6°
Responses
Rise 4°
Rise 4°
Fall 4°
Fall 4°
Fall 10°
Fall 10°
Rise 6°
The temperature needs to fall 4°F to return to the initial temperature of 67°F.
7. Simplify |-7| + |6|.(1 point)
Responses
-1
-1
-13
-13
1
1
13
Responses
-1
-1
-13
-13
1
1
13
The simplified expression |-7| + |6| equals 13.
8. The Snake Eyes Roller Coaster climbs 125 feet from ground level then drops 60 feet before climbing another 135 feet. How far does the coaster need to drop or climb to be back at ground level? (Hint: Draw a picture or use a number line.)(1 point)
Responses
Climb 200 feet
Climb 200 feet
Drop 200 feet
Drop 200 feet
Climb 50 feet
Climb 50 feet
Drop 50 feet
Drop 50 feet
Question 5
9. Before it started to rain, Amnar cut 16
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
Responses
The boys cut almost the whole yard.
The boys cut almost the whole yard.
The boys cut exactly half of the yard.
The boys cut exactly half of the yard.
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
Together the boys didn’t even cut half of the y
Responses
Climb 200 feet
Climb 200 feet
Drop 200 feet
Drop 200 feet
Climb 50 feet
Climb 50 feet
Drop 50 feet
Drop 50 feet
Question 5
9. Before it started to rain, Amnar cut 16
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
Responses
The boys cut almost the whole yard.
The boys cut almost the whole yard.
The boys cut exactly half of the yard.
The boys cut exactly half of the yard.
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
Together the boys didn’t even cut half of the y
The coaster would need to drop 50 feet to be back at ground level.
9. Before it started to rain, Amnar cut 16
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
Responses
The boys cut almost the whole yard.
The boys cut almost the whole yard.
The boys cut exactly half of the yard.
The boys cut exactly half of the yard.
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
Together the boys didn’t even cut half of the yard
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
Responses
The boys cut almost the whole yard.
The boys cut almost the whole yard.
The boys cut exactly half of the yard.
The boys cut exactly half of the yard.
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
Together the boys didn’t even cut half of the yard
The statement "Together the boys cut almost the whole yard" is true.
The Sweet Surprise Bake Shop sold slices of cake at the arts festival last weekend. Each cake was cut into eight slices. They sold 214
chocolate cakes, 212
red velvet cakes, 34
of a carrot cake and 312
sugar cream cakes.
Which statement tells the total number of cakes they sold and explains how the total can be calculated?
(1 point)
Responses
First, change the fractions to make denominators common, and then add: 214+224+34+324=784
. Next, simplify: 784=9
.
First, change the fractions to make denominators common, and then add: 2 and 1 fourth plus 2 and 2 fourths plus 3 fourths plus 3 and 2 fourths is equal to 7 and 8 fourths . Next, simplify: 7 and 8 fourths is equal to 9 .
First, change the numerators to 3 to make them common, and then add: 234+232+34+334=71214
. Next, simplify: 71214=767
.
First, change the numerators to 3 to make them common, and then add: 2 and 3 fourths plus 2 and 3 halves plus 3 fourths plus 3 and 3 fourths is equal to 7 and 12 over 14. Next, simplify: 7 and 12 over 14 is equal to 7 and 6 sevenths .
First, find the least common multiple and change only the denominators: 214+214+34+314=764
. Next, simplify: 764=812
.
First, find the least common multiple and change only the denominators: 2 and 1 fourth plus 2 and 1 fourth plus 3 fourths plus 3 and 1 fourth is equal to 7 and 6 fourths . Next, simplify: 7 and 6 fourths is equal to 8 and 1 half .
First, add across the numerators and denominators: 14+12+34+12=612
. Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7612=712
.
chocolate cakes, 212
red velvet cakes, 34
of a carrot cake and 312
sugar cream cakes.
Which statement tells the total number of cakes they sold and explains how the total can be calculated?
(1 point)
Responses
First, change the fractions to make denominators common, and then add: 214+224+34+324=784
. Next, simplify: 784=9
.
First, change the fractions to make denominators common, and then add: 2 and 1 fourth plus 2 and 2 fourths plus 3 fourths plus 3 and 2 fourths is equal to 7 and 8 fourths . Next, simplify: 7 and 8 fourths is equal to 9 .
First, change the numerators to 3 to make them common, and then add: 234+232+34+334=71214
. Next, simplify: 71214=767
.
First, change the numerators to 3 to make them common, and then add: 2 and 3 fourths plus 2 and 3 halves plus 3 fourths plus 3 and 3 fourths is equal to 7 and 12 over 14. Next, simplify: 7 and 12 over 14 is equal to 7 and 6 sevenths .
First, find the least common multiple and change only the denominators: 214+214+34+314=764
. Next, simplify: 764=812
.
First, find the least common multiple and change only the denominators: 2 and 1 fourth plus 2 and 1 fourth plus 3 fourths plus 3 and 1 fourth is equal to 7 and 6 fourths . Next, simplify: 7 and 6 fourths is equal to 8 and 1 half .
First, add across the numerators and denominators: 14+12+34+12=612
. Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7612=712
.
First, change the fractions to make denominators common, and then add: 214 + 212 + 34 + 312 = 772. Next, simplify: 772 = 9.
The statement that tells the total number of cakes they sold and explains how the total can be calculated is: "First, change the fractions to make denominators common, and then add: 214+212+34+312=772. Next, simplify: 772=9."
The statement that tells the total number of cakes they sold and explains how the total can be calculated is: "First, change the fractions to make denominators common, and then add: 214+212+34+312=772. Next, simplify: 772=9."
10. The Sweet Surprise Bake Shop sold slices of cake at the arts festival last weekend. Each cake was cut into eight slices. They sold 2 1/4
chocolate cakes, 2 1/2
red velvet cakes, 3/4
of a carrot cake and 3 1/2
sugar cream cakes.
Which statement tells the total number of cakes they sold and explains how the total can be calculated?
(1 point)
Responses
First, change the fractions to make denominators common, and then add:
2 1/4+2 2/4+3/4+3 2/4=7 8/4
. Next, simplify: 7 8/4=9
.
First, change the numerators to 3 to make them common, and then add:
2 3/4+2 3/2+3/4+3 3/4=7 12/14
. Next, simplify: 7 12/14=7 6/7
.
First, find the least common multiple and change only the denominators:
2 1/4+1/4+3/4+3 1/4=7 6/4
. Next, simplify: 7 6/4=8 1/2
.
First, add across the numerators and denominators: 1/4+1/2+3/4+1/2=6 1/2
. Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7 6/12=7 1/2
.
chocolate cakes, 2 1/2
red velvet cakes, 3/4
of a carrot cake and 3 1/2
sugar cream cakes.
Which statement tells the total number of cakes they sold and explains how the total can be calculated?
(1 point)
Responses
First, change the fractions to make denominators common, and then add:
2 1/4+2 2/4+3/4+3 2/4=7 8/4
. Next, simplify: 7 8/4=9
.
First, change the numerators to 3 to make them common, and then add:
2 3/4+2 3/2+3/4+3 3/4=7 12/14
. Next, simplify: 7 12/14=7 6/7
.
First, find the least common multiple and change only the denominators:
2 1/4+1/4+3/4+3 1/4=7 6/4
. Next, simplify: 7 6/4=8 1/2
.
First, add across the numerators and denominators: 1/4+1/2+3/4+1/2=6 1/2
. Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7 6/12=7 1/2
.
First, change the fractions to make the denominators common, and then add: 2 1/4 + 2 1/2 + 3/4 + 3 1/2 = 7 6/4. Next, simplify: 7 6/4 = 8 1/2.
The statement that tells the total number of cakes they sold and explains how the total can be calculated is: "First, change the fractions to make the denominators common, and then add: 2 1/4 + 2 1/2 + 3/4 + 3 1/2 = 7 6/4. Next, simplify: 7 6/4 = 8 1/2."
The statement that tells the total number of cakes they sold and explains how the total can be calculated is: "First, change the fractions to make the denominators common, and then add: 2 1/4 + 2 1/2 + 3/4 + 3 1/2 = 7 6/4. Next, simplify: 7 6/4 = 8 1/2."
11. Mrs. Taylor is crocheting a blanket for her daughter. She made 38
of the blanket green, 14
of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket?
1/2
3/4
5/8
38
of the blanket green, 14
of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket?
1/2
3/4
5/8
38
The fraction that represents the yellow part of the blanket is 5/8.
12. For Aliyah’s graduation party, her mom made her a chocolate cake. Her siblings ate 14
of the cake, and her friends ate 23
of the cake. How much of the cake was left?(1 point)
Responses
34
3 fourths
56
5 sixths
112
1 over 12
12
of the cake, and her friends ate 23
of the cake. How much of the cake was left?(1 point)
Responses
34
3 fourths
56
5 sixths
112
1 over 12
12
To find out how much of the cake was left, we need to subtract the fractions of the cake that were eaten from 1 (whole cake).
The fraction of the cake eaten by Aliyah's siblings is 1/4.
The fraction of the cake eaten by her friends is 2/3.
To find the remaining fraction of the cake, we subtract these from 1:
1 - 1/4 - 2/3
To simplify this, we need a common denominator:
1 = 12/12
1/4 = 3/12 (multiply numerator and denominator by 3)
2/3 = 8/12 (multiply numerator and denominator by 4)
Substituting the values:
12/12 - 3/12 - 8/12 = 1/12
Therefore, 1/12 of the cake was left.
The fraction of the cake eaten by Aliyah's siblings is 1/4.
The fraction of the cake eaten by her friends is 2/3.
To find the remaining fraction of the cake, we subtract these from 1:
1 - 1/4 - 2/3
To simplify this, we need a common denominator:
1 = 12/12
1/4 = 3/12 (multiply numerator and denominator by 3)
2/3 = 8/12 (multiply numerator and denominator by 4)
Substituting the values:
12/12 - 3/12 - 8/12 = 1/12
Therefore, 1/12 of the cake was left.
13.
−84−(−45)=
(1 point)
Responses
-39
-39
-129
-129
-49
-49
39
39
Question 2
14. In the Manchester Building, the elevation of the basement floor is -16 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof? (Hint: Draw a picture or a number line.)(1 point)
Responses
-21
-21
21
21
53
53
-53
-53
Question 3
15.
−8.5−(−3.7)=
(1 point)
Responses
12.2
12.2
-12.2
-12.2
4.8
4.8
-4.8
-4.8
Question 4
16.
25−(−80)=
(1 point)
Responses
565
565
115
115
105
105
-55
-55
Question 5
17.
−18.5−17.5
(1 point)
Responses
1
1
-36
-36
36
36
-1
-1
Question 6
18. What is the change in temperature between −20°F and 30°F?(1 point)
Responses
10 °F
10 °F
-10 °F
-10 °F
50 °F
50 °F
-50 °F
-50 °F
Question 7
19. The temperature was −5°F this morning. If the temperature dropped 8°F, what is the temperature now?(1 point)
Responses
13 °F
13 °F
-3 °F
-3 °F
-13 °F
-13 °F
3 °F
3 °F
Question 8
20. A Navy submarine is 650 feet below sea level. If it ascends 200 feet, which integer represents its new position?(1 point)
Responses
450
450
850
850
-450
-450
-850
-850
Question 9
21. John threw a rock into a lake from a bridge 124 feet above the river's surface. The rock sinks 81 feet below the river’s surface. What is the distance between the elevations? (Hint: Draw a picture or use a number line.)(1 point)
Responses
205 feet
205 feet
-43 feet
-43 feet
-205 feet
-205 feet
43 feet
−84−(−45)=
(1 point)
Responses
-39
-39
-129
-129
-49
-49
39
39
Question 2
14. In the Manchester Building, the elevation of the basement floor is -16 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof? (Hint: Draw a picture or a number line.)(1 point)
Responses
-21
-21
21
21
53
53
-53
-53
Question 3
15.
−8.5−(−3.7)=
(1 point)
Responses
12.2
12.2
-12.2
-12.2
4.8
4.8
-4.8
-4.8
Question 4
16.
25−(−80)=
(1 point)
Responses
565
565
115
115
105
105
-55
-55
Question 5
17.
−18.5−17.5
(1 point)
Responses
1
1
-36
-36
36
36
-1
-1
Question 6
18. What is the change in temperature between −20°F and 30°F?(1 point)
Responses
10 °F
10 °F
-10 °F
-10 °F
50 °F
50 °F
-50 °F
-50 °F
Question 7
19. The temperature was −5°F this morning. If the temperature dropped 8°F, what is the temperature now?(1 point)
Responses
13 °F
13 °F
-3 °F
-3 °F
-13 °F
-13 °F
3 °F
3 °F
Question 8
20. A Navy submarine is 650 feet below sea level. If it ascends 200 feet, which integer represents its new position?(1 point)
Responses
450
450
850
850
-450
-450
-850
-850
Question 9
21. John threw a rock into a lake from a bridge 124 feet above the river's surface. The rock sinks 81 feet below the river’s surface. What is the distance between the elevations? (Hint: Draw a picture or use a number line.)(1 point)
Responses
205 feet
205 feet
-43 feet
-43 feet
-205 feet
-205 feet
43 feet
13. -84 - (-45) = -84 + 45 = -39
14. The distance from the basement floor to the roof is 53 feet.
15. -8.5 - (-3.7) = -8.5 + 3.7 = -4.8
16. 25 - (-80) = 25 + 80 = 105
17. -18.5 - 17.5 = -36
18. The change in temperature between -20°F and 30°F is 50°F.
19. If the temperature dropped 8°F from -5°F, the new temperature is -13°F.
20. If a Navy submarine ascends 200 feet from 650 feet below sea level, its new position would be at -450 feet.
21. The distance between the elevations is 205 feet.
14. The distance from the basement floor to the roof is 53 feet.
15. -8.5 - (-3.7) = -8.5 + 3.7 = -4.8
16. 25 - (-80) = 25 + 80 = 105
17. -18.5 - 17.5 = -36
18. The change in temperature between -20°F and 30°F is 50°F.
19. If the temperature dropped 8°F from -5°F, the new temperature is -13°F.
20. If a Navy submarine ascends 200 feet from 650 feet below sea level, its new position would be at -450 feet.
21. The distance between the elevations is 205 feet.
22. Find the sum of -12 and -36.(1 point)
Responses
48
48
24
24
-48
-48
-24
-24
Question 2
23.
17 + (−32)=
(1 point)
Responses
49
49
-15
-15
-49
-49
15
Responses
48
48
24
24
-48
-48
-24
-24
Question 2
23.
17 + (−32)=
(1 point)
Responses
49
49
-15
-15
-49
-49
15
22. The sum of -12 and -36 is -48.
23. 17 + (-32) = -15.
23. 17 + (-32) = -15.
24.
−14.15+(−3.78)−(−5.78)−3.4
(1 point)
Responses
-27.11
-27.11
-15.55
-15.55
1.19
1.19
-19.55
-19.55
−14.15+(−3.78)−(−5.78)−3.4
(1 point)
Responses
-27.11
-27.11
-15.55
-15.55
1.19
1.19
-19.55
-19.55
-14.15 + (-3.78) - (-5.78) - 3.4 simplifies to -14.15 - 3.78 + 5.78 - 3.4.
Calculating this expression, we get -14.15 - 3.78 + 5.78 - 3.4 = -15.55.
Therefore, the answer is -15.55.
Calculating this expression, we get -14.15 - 3.78 + 5.78 - 3.4 = -15.55.
Therefore, the answer is -15.55.
25.
48÷((2+6)×2)−1=
Hint: Use the order of operations (PEMDAS).
(1 point)
Responses
11
11
3.2
3.2
2
2
-12
48÷((2+6)×2)−1=
Hint: Use the order of operations (PEMDAS).
(1 point)
Responses
11
11
3.2
3.2
2
2
-12
To solve the expression 48 ÷ ((2+6) × 2) - 1, we use the order of operations, also known as PEMDAS.
First, we simplify within the parentheses: 2 + 6 = 8.
Next, we simplify within the parentheses again: (8 × 2) = 16.
Revisiting the original expression: 48 ÷ 16 - 1.
Then, performing the division: 48 ÷ 16 = 3.
Finally, subtracting 1 from 3: 3 - 1 = 2.
Therefore, the answer is 2.
First, we simplify within the parentheses: 2 + 6 = 8.
Next, we simplify within the parentheses again: (8 × 2) = 16.
Revisiting the original expression: 48 ÷ 16 - 1.
Then, performing the division: 48 ÷ 16 = 3.
Finally, subtracting 1 from 3: 3 - 1 = 2.
Therefore, the answer is 2.