Download Quiz and Exam Multiple Choice Feedback

Algebra 1 AVENTA07-Alg1Full and Alg1Sem1
UNIT 2 Real Numbers Quiz and Test Multiple Choice Feedback.
Question: Put the following in order from least to greatest. Write a
comma between the numbers. -1.8, -4, 9, 10.2, 3.25
Answer: -4, -1.8, 3.25, 9, 10.2
2 Quiz 1 #2 Correct Feedback: Write in hundredths: -1.80, -4.00, 9.00, 10.20, 3.25
and then compare.
Incorrect Feedback: Write in hundredths: -1.80, -4.00, 9.00, 10.20, 3.25
and then compare.
Question: 8 is a rational number.
Answer: True
2 Quiz 1 #7 Correct Feedback: 8 is a whole number. Rational numbers include
whole numbers, integers, fractions, and some decimals.
Incorrect Feedback: 8 is a whole number. Rational numbers include
whole numbers, integers, fractions, and some decimals.
Question: 8/9 - 10/3 =
Answer: -2 4/9
2 Quiz 2 #2
Correct Feedback: = (8 – 30)/9 = -22/9 = -2 4/9.
Incorrect Feedback: = (8 – 30)/9 = -22/9 = -2 4/9.
Question: Write in simplest form: 6.2(-3x) + (-4.1)(-3x)
Answer: -6.3x
2 Quiz 3 #5
Correct Feedback: = -18.6x + 12.3x = -6.3x.
Incorrect Feedback: = -18.6x + 12.3x = -6.3x.
Question: Write in simplest form: -8(1.2c - 3.3d)
Answer: -9.6c + 26.4d
2 Quiz 3 #6
Correct Feedback: Distribute: (-8)(1.2c) + (-8)(-3.3d) = -9.6c + 26.4d.
Incorrect Feedback: Distribute: (-8)(1.2c) + (-8)(-3.3d) = -9.6c + 26.4d.
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2 Quiz 5 #1
Question:
Answer: -12 ½
Correct Feedback: = -2(-5/2)2 = -2(25/4) = -50/4 = -25/2 = -12 ½.
Incorrect Feedback: = -2(-5/2)2 = -2(25/4) = -50/4 = -25/2 = -12 ½.
Question: For the following problems, choose the property which best
justifies each step in the table.
(1/5) [(n + 5) + -n]
Given
=(1/5) [(5 + n) + -n]
A
=(1/5) [5 + (n + -n)]
B
=(1/5) [5 + 0]
C
=(1/5)(5)
D
=1
E
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2 Quiz 5 #3
A is which property?
Answer: Commutative
Correct Feedback: (1/5) [(n + 5) + -n] =(1/5) [(5 + n) + -n]. N and 5 have
switched places. The Commutative Property tells us that n + 5 = 5 + n.
Incorrect Feedback: (1/5) [(n + 5) + -n] =(1/5) [(5 + n) + -n]. N and 5
have switched places. The Commutative Property tells us that n + 5 = 5
+ n.
Question: True or False: (1/2)(2n + 2) + -2 = n
Answer: False
Correct Feedback: Distribute first: ½ (2n) + ½ (2) + -2 = n + 1 + -2 = n –
1.
Incorrect Feedback: Distribute first: ½ (2n) + ½ (2) + -2 = n + 1 + -2 = n
– 1.
Question: True or False: (-5 + n) + (5 + -n) = 0
Answer: True
Correct Feedback: (-5 + n) + (5 + -n) = (-5 + 5) + (n + -n) = 0 + 0 = 0.
Incorrect Feedback: (-5 + n) + (5 + -n) = (-5 + 5) + (n + -n) = 0 + 0 = 0.
Question:
(1/5) [(n + 5) + -n]
Given
=(1/5) [(5 + n) + -n]
A
=(1/5) [5 + (n + -n)]
B
=(1/5) [5 + 0]
C
=(1/5)(5)
D
=1
E
2 Quiz 5 #4
B is which property?
Answer: Associative
Correct Feedback: (1/5) [(5 + n) + -n] =(1/5) [5 + (n + -n)]. The
Associative Property tells us that addition can be regrouped, so (5 + n) + n = 5 + (n + -n).
Incorrect Feedback: =(1/5) [(5 + n) + -n] =(1/5) [5 + (n + -n)]. The
Associative Property tells us that addition can be regrouped, so (5 + n) + n = 5 + (n + -n).
Question:
2 Quiz 5 #5
(1/5) [(n + 5) + -n]
Given
=(1/5) [(5 + n) + -n]
A
=(1/5) [5 + (n + -n)]
B
=(1/5) [5 + 0]
C
=(1/5)(5)
D
=1
E
Which property is C?
Answer: Additive Inverse
Correct Feedback: (1/5) [5 + (n + -n)] =(1/5) [5 + 0]. The Additive
Inverse tells us that any number plus its opposite is 0, so (n + -n) = 0.
Incorrect Feedback: (1/5) [5 + (n + -n)] =(1/5) [5 + 0]. The Additive
Inverse tells us that any number plus its opposite is 0, so (n + -n) = 0.
Question:
2 Quiz 5 #6
(1/5) [(n + 5) + -n]
Given
=(1/5) [(5 + n) + -n]
A
=(1/5) [5 + (n + -n)]
B
=(1/5) [5 + 0]
C
=(1/5)(5)
D
=1
E
Which property is D?
Answer: Additive Identity
Correct Feedback: (1/5) [5 + 0] =(1/5)(5). The Additive Identity Property
tells us that any number plus 0 is the number, so [5+0] = 5.
Incorrect Feedback: (1/5) [5 + 0] =(1/5)(5). The Additive Identity
Property tells us that any number plus 0 is the number, so [5+0] = 5.
Question:
2 Quiz 5 #7
2 Quiz 5 #8
(1/5) [(n + 5) + -n]
Given
=(1/5) [(5 + n) + -n]
A
=(1/5) [5 + (n + -n)]
B
=(1/5) [5 + 0]
C
=(1/5)(5)
D
=1
E
Which property is E?
Answer: Multiplicative Inverse
Correct Feedback: (1/5)(5) = 1. The Multiplicative Inverse Property tells
us that any number multiplied by its reciprocal is 1.
Incorrect Feedback: (1/5)(5) = 1. The Multiplicative Inverse Property
tells us that any number multiplied by its reciprocal is 1.
Question: Simplify, using your knowledge of properties: (1/4)(3 + 1)
Answer: 1
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Correct Feedback: (1/4)(3 + 1) = (1/4)(4) = 1.
Incorrect Feedback: (1/4)(3 + 1) = (1/4)(4) = 1.
Question: Simplify using your knowledge of properties. 2(a + 4) + -2a + 8
Answer: 0
Correct Feedback: = 2a + 8 + -2a + -8 = (2a + -2a) + (8 + -8) = 0 + 0 = 0.
Incorrect Feedback: = 2a + 8 + -2a + -8 = (2a + -2a) + (8 + -8) = 0 + 0 =
0.
Question: Simplify using your knowledge of properties. [(1/3)(3)](2 + -1 +
1)
Answer: 2
Correct Feedback: [(1/3)(3)](2 + -1 + 1) = [1](2) = 2.
Incorrect Feedback: [(1/3)(3)](2 + -1 + 1) = [1](2) = 2.
Question: Compare the two numbers by choosing <, >, or =.
1/2 ____ 0.75
Answer: <
Correct Feedback: ½ as a decimal in hundredths is 0.50. 0.50 < 0.75.
Incorrect Feedback: ½ as a decimal in hundredths is 0.50. 0.50 < 0.75.
Question: Find the median after putting the following numbers in order
from least to greatest. -6.8, 2.2, -0.12, 1.58, 3
Answer: 1.58
Correct Feedback: In order: -6.8, -0.12, 1.58, 2.2, 3. The median is
1.58.
Incorrect Feedback: In order: -6.8, -0.12, 1.58, 2.2, 3. The median is
1.58.
Question: Write the solution in lowest terms. 5/8 - 3/4 =
Answer: -1/8
Correct Feedback: = (20 – 24)/32 = -4/32 = -1/8.
Incorrect Feedback: = (20 – 24)/32 = -4/32 = -1/8.
Question: Write the solution in lowest terms. 1/3 - (-3/4) =
Answer: 1 1/12
Correct Feedback: = 1/3 + 3/4 = (4 + 9)/12 = 13/12 = 1 1/12.
Incorrect Feedback: = 1/3 + 3/4 = (4 + 9)/12 = 13/12 = 1 1/12.
Question: Write the solution in lowest terms.
Answer: -1/3
Correct Feedback: = -5/15 = -1/3.
Incorrect Feedback: = -5/15 = -1/3.
Question: Write the solution in lowest terms.
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Answer: 1/10
Correct Feedback: = (-1/8)(-4/5) = 4/40 = 1/10.
Incorrect Feedback: = (-1/8)(-4/5) = 4/40 = 1/10.
Question: Simplify by multiplying and adding like terms. 6(3x) + 5(2x) =
Answer: 28x
Correct Feedback: = 18x + 10x = 28x.
Incorrect Feedback: = 18x + 10x = 28x.
Question: Simplify by distributing. -2(3a + 4).
Answer: -6a – 8
Correct Feedback: = -2(3a) + -2(4) = -6a – 8.
Incorrect Feedback: = -2(3a) + -2(4) = -6a – 8.
Question: Simplify:
Answer: x – 3y
Correct Feedback: = 5x/5 – 15y/5 = x – 3y.
Incorrect Feedback: = 5x/5 – 15y/5 = x – 3y.
Question: Evaluate 4ab if a = -1 and b = 3.
Answer: -12
Correct Feedback: = 4(-1)(3) = -4(3) = -12.
Incorrect Feedback: = 4(-1)(3) = -4(3) = -12.
Question: Evaluate
Answer: -2.8
if x = -2 and y = 4.
Correct Feedback:
Incorrect Feedback:
Question: Eric knew his trip to Lawrenceburg was 548 miles. If he drove
for 8.9 hours, what mph did he average on his trip? You may use the
formula d = rt. Round your answer to the nearest whole number.
Answer: 62 mph
Correct Feedback: 548 = 8.9t. t = 548/8.9 = 61.576…≈ 62.
Incorrect Feedback: 548 = 8.9t. t = 548/8.9 = 61.576…≈ 62.
Question: You are traveling 185 miles to Atherton and then 32 more to
Blankford. Use front end estimation to estimate the miles traveled on
your trip.
Answer: 220
Correct Feedback: 190 + 30 = 220
Incorrect Feedback: 190 + 30 = 220
Question: Murray was finding the average change in his stocks over the
following months: -8.23 in September, -5.67 in October, 4.8 in November,
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and -2 in December. What is that average change?
Answer: -2.775
Correct Feedback: Average = (-8.23 + -5.67 + 4.8 + -2) / 4 = -11.1/4 = 2.775.
Incorrect Feedback: Average = (-8.23 + -5.67 + 4.8 + -2) / 4 = -11.1/4 = 2.775.
Question: Estimate the area of a square floor if each side is 9.2 feet
long. Use whole numbers.
Answer: 81 sq ft
Correct Feedback: Estimated Area = s2 = 92 = 81.
Incorrect Feedback: Estimated Area = s2 = 92 = 81.
Question: If a square floor has an area of 260 square feet, estimate the
length of one side. Give the whole number that is closest to the amount.
Answer: 16 ft
Correct Feedback: Looking at the table of squares, 260 is between 256
and 289, but closest to 256. The square root of 256 is 16, so that is the
estimate.
Incorrect Feedback: Looking at the table of squares, 260 is between 256
and 289, but closest to 256. The square root of 256 is 16, so that is the
estimate.
Question: A home team's score was 97. If you doubled the visiting
team's score and subtracted 49, you would also have 97. What was the
visiting teams score? You may want to use guess and check here.
Answer: 73
Correct Feedback: One way: 2x – 49 = 97 and find x.
Incorrect Feedback: One way: 2x – 49 = 97 and find x.
Question: The stage is a right triangle with sides of a=10 and b=20 feet.
How long is the other side if it is side c in this formula? (Use a 2 + b2 = c2 )
Round your solution to the nearest tenth.
Answer: 22
Correct Feedback: 102 + 202 = c2. c2 = 500. c = √(500) ≈22.
Incorrect Feedback: 102 + 202 = c2. c2 = 500. c = √(500) ≈22.
Question: True or False: (1/3)(3n + 3) = n + 1.
Answer: True
Correct Feedback: (1/3)(3n + 3) = (1/3)(3n) + (1/3)(3) = 1n + 1 = n + 1.
Incorrect Feedback: (1/3)(3n + 3) = (1/3)(3n) + (1/3)(3) = 1n + 1 = n + 1.
Question: Simplify using your knowledge of properties. 2(b - 6) + -2b +
12.
Answer: 0
Correct Feedback: = 2b – 12 + -2b + 12 = (2b + -2b) + (-12 + 12) = 0+0
= 0.
Incorrect Feedback: = 2b – 12 + -2b + 12 = (2b + -2b) + (-12 + 12) = 0+0
= 0.
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Question: True or False: (-101 + x) + (101 - x) = 0
Answer: True
Correct Feedback: (-101 + x) + (101 - x) = (-101 + 101) + (x + -x) = 0 + 0
= 0.
Incorrect Feedback: (-101 + x) + (101 - x) = (-101 + 101) + (x + -x) = 0 +
0 = 0.
Question: Simplify. (1/5)(5)(100 + -2 + 2)
Answer: 100
Correct Feedback: = (1/5)(5)(100) = 1(100) = 100.
Incorrect Feedback: = (1/5)(5)(100) = 1(100) = 100.
Question: Evaluate |26 - b| + 7 if b = 9.
Answer: 24
Correct Feedback: |26 – 9| + 7 = |17| + 7 = 17 + 7 = 24.
Incorrect Feedback: |26 – 9| + 7 = |17| + 7 = 17 + 7 = 24.
Question: Which number is greater than the square root of 3 and less
than 1.9?
Answer: 9/5
Correct Feedback: √3 ≈1.7. 9/5 = 1.8. 1.8 is between 1.7 and 1.9.
Incorrect Feedback: √3 ≈1.7. 9/5 = 1.8. 1.8 is between 1.7 and 1.9.
Question: Evaluate 15 - |x| if x = -6.
Answer: 9
Correct Feedback: 15 - |-6| = 15 – 6 = 9.
Incorrect Feedback: 15 - |-6| = 15 – 6 = 9.
Question: 79.3 - -14.5 =
Answer: 93.8
Correct Feedback: = 79.3 + 14.5 = 93.8.
Incorrect Feedback: = 79.3 + 14.5 = 93.8.
Question: Simplify
Answer: -f – 6
Correct Feedback: = 4f/-4 + 24/-4 = -1f + -6 = -f – 6.
Incorrect Feedback: = 4f/-4 + 24/-4 = -1f + -6 = -f – 6.
Question: Evaluate
if x = -0.1 and y = -2.
Answer: -5.99
Correct Feedback: (-0.1)2 + 3(-2) = 0.01 + - 6 = -5.99.
Incorrect Feedback: (-0.1)2 + 3(-2) = 0.01 + - 6 = -5.99.
Question: While shopping you found a pair of pants on sale for 1/4 off
the regular price. If the regular price is $35.50, how much will be marked
off the price? Round to the nearest cent.
Answer: $8.88
Correct Feedback: (1/4)(35.50) = 8.875 ≈ 8.88.
Incorrect Feedback: (1/4)(35.50) = 8.875 ≈ 8.88.