Download Quiz and Exam Multiple Choice Feedback

Algebra 1 AVENTA07-Alg1Full and Alg1Sem1
UNIT 1 Variables and Expressions Quiz and Test Multiple Choice Feedback.
Question: Evaluate
if n = 3.
Answer: 81
1-Quiz 1
Correct Feedback: 34 = (3)(3)(3)(3) = 81
#4
Incorrect Feedback: 34 = (3)(3)(3)(3) = 81
Question: Evaluate 3x - 2 if x = 5.
1-Quiz 1
Answer: 13
#5
Correct Feedback: 3(5) – 2 = 15 – 2 = 13
Incorrect Feedback: 3(5) – 2 = 15 – 2 = 13
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Question: Simplify
Answer: 3
Correct Feedback: (18 – 3)/5 = 15/5 = 3
Incorrect Feedback: (18 – 3)/5 = 15/5 = 3
Question: Translate into symbols: the product of 19 and n.
Answer: 19n
Correct Feedback: A product indicates multiplication.
Incorrect Feedback: A product indicates multiplication.
Question: Translate into symbols: 5 plus the quantity of 6 minus m.
Answer: 5 + (6 – m)
Correct Feedback: “Quantity” indicates a group.
Incorrect Feedback: “Quantity” indicates a group.
Question: Translate into symbols: The difference of 5 squared and a.
Answer: 52 – a
Correct Feedback: Squared indicates the 2nd power and difference
indicates subtraction.
Incorrect Feedback: Squared indicates the 2nd power and difference
indicates subtraction.
Question: According to this property, 5a + a = 5a + 1a.
Answer: Multiplicative Identity
Correct Feedback: According to this property, a = 1a.
Incorrect Feedback: According to this property, a = 1a.
Question: Simplify: 5x + 2y - 3x + y.
Answer: 2x + 3y
Correct Feedback: Regroup and add: (5x + -3x) + (2y + 1y) = 2x + 3y.
Incorrect Feedback: Regroup and add: (5x + -3x) + (2y + 1y) = 2x + 3y.
Question: Simplify: (5a)(6b)(2c).
Answer: 60abc
Correct Feedback: Regroup and multiply: (5·6∙2)(abc) = 60abc.
Incorrect Feedback: Regroup and multiply: (5·6∙2)(abc) = 60abc.
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Question: Simplify: 4 6/7 + 9 1/4 + 2 3/4 + 1/7.
Answer: 17
Correct Feedback: Regroup and add: (4 6/7 + 1/7) + (9 1/4 + 2 ¾) = 5 +
12 = 17.
Incorrect Feedback: Regroup and add: (4 6/7 + 1/7) + (9 1/4 + 2 ¾) = 5
+ 12 = 17.
Question: Simplify: 5(2m + 6n - 3n)
Answer: 10m + 15n
Correct Feedback: Distribute and simplify: 10m + 30n – 15n = 10m +
15n.
Incorrect Feedback: 10m + 30n – 15n = 10m + 15n.
Question: Simplify: 12(5c - 3).
Answer: 60c – 36
Correct Feedback: Distribute: 12(5c) – 12(3) = 60c – 36.
Incorrect Feedback: Distribute: 12(5c) – 12(3) = 60c – 36.
Question: The measure of a side of a square field is 2x2 + 3 . What is its
perimeter?
Answer: 8x2 + 12
Correct Feedback: The perimeter of a square is 4s = 4(2x2 + 3) = 8x2 +
12.
Incorrect Feedback: The perimeter of a square is 4s = 4(2x2 + 3) = 8x2 +
12.
Question: In a game where you can earn positive and negative points,
you made these points on the first 4 plays: -5, -6, 8, 10. What is your
current score?
Answer: 7
Correct Feedback: Group and add: (-5 + -6) + (8 + 10) = -11 + 18 = 7.
Incorrect Feedback: Group and add: (-5 + -6) + (8 + 10) = -11 + 18 = 7.
Question: 4 - 14 =
Answer: -10
Correct Feedback: 4 – 14 = 4 + -14 = -10
Incorrect Feedback: 4 – 14 = 4 + -14 = -10
Question: -8 - 12 =
Answer: -20
Correct Feedback: -8 – 12 = -8 + -12 = -20
Incorrect Feedback: -8 – 12 = -8 + -12 = -20
Question: 5 - -2 =
Answer: 7
Correct Feedback: 5 – -2 = 5 + 2 = 7
Incorrect Feedback: 5 – -2 = 5 + 2 = 7
Question: A town in the desert is listed as 10 feet below sea level ( -10
ft). The next closest town is 80 ft below sea level, (-80 ft). What is the
difference in their sea level positions using the first town reading minus the
second town reading?
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Answer: 70 ft
Correct Feedback: -10 – -80 = -10 + 80 = 70
Incorrect Feedback: -10 – -80 = -10 + 80 = 70
Question: A mountain has a rise of 8,480 feet from its base. If there is a
2 degree drop in temperature for every rise of 530 feet in altitude, how
many degrees difference is there between the ground temperature and the
temperature at the peak?
Answer: 32
Correct Feedback: 8480/530 = 16 increments of 2 degree drops. 16(2) =
32 degree drop.
Incorrect Feedback: 8480/530 = 16 increments of 2 degree drops. 16(2)
= 32 degree drop.
Question: Simplify: -(9y - 5).
Answer: 5 + -9y
Correct Feedback: A negative outside a parenthesis indicates the
opposite. –(9y – 5) = -9y + 5 or 5 + -9y.
Incorrect Feedback: A negative outside a parenthesis indicates the
opposite. –(9y – 5) = -9y + 5 or 5 + -9y.
Question:
Answer: -18
Correct Feedback: Any number to the 1st power is equal to itself.
Incorrect Feedback: Any number to the 1st power is equal to itself.
Question: 20,0000
Answer: 1
Correct Feedback: Any positive number to the 0 power is equal to 1.
Incorrect Feedback: Any positive number to the 0 power is equal to 1.
Question: Simplify:
Answer: 1/27
Correct Feedback: A negative exponent indicates the reciprocal. 3-3 =
1/33 = 1/27.
Incorrect Feedback: A negative exponent indicates the reciprocal. 3-3 =
1/33 = 1/27.
Question: Simplify: 1/5-4
Answer: 625
Correct Feedback: A negative exponent indicates the reciprocal. 1/5-4 =
54 = 625.
Incorrect Feedback: A negative exponent indicates the reciprocal. 1/5-4
= 54 = 625.
Question: Simplify: (-12)2
Answer: 144
Correct Feedback: (-12)2 = (-12)(-12) = 144.
Incorrect Feedback: (-12)2 = (-12)(-12) = 144.
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Question: (-11)3
Answer: -1331
Correct Feedback: (-11)3 = (-11)(-11)(-11) = -1331.
Incorrect Feedback: (-11)3 = (-11)(-11)(-11) = -1331.
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#9
Question:
Answer: -16
Correct Feedback: A negative outside a square root indicates the
negative root. (-16)(-16) = 256.
Incorrect Feedback: A negative outside a square root indicates the
negative root. (-16)(-16) = 256.
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Question:
Answer: 3/10
Correct Feedback: = √9 / √100 = 3/10.
Incorrect Feedback: = √9 / √100 = 3/10.
Question:
Answer: 1.4
Correct Feedback: (1.4)(1.4) = 1.96
Incorrect Feedback: (1.4)(1.4) = 1.96
Question:
Answer: 8
Correct Feedback: (8)(8)(8) = 512
Incorrect Feedback: (8)(8)(8) = 512
Question: (4m3n)(-8m5n4)
Answer: -32m8n5
Correct Feedback: Group and multiply 4 and -8, add exponents: (4)(8)(m3m5)(n1n4) = -32m8n5.
Incorrect Feedback: Group and multiply coefficients, add exponents:
(4)(-8)(m3m5)(n1n4) = -32m8n5.
Question: (6xy3)2 =
Answer: 36x2y8
Correct Feedback: Square 6 and multiply exponents. (62)(x2)(y3·2) =
36x2y8.
Incorrect Feedback: Square 6 and multiply exponents. (62)(x2)(y3·2) =
36x2y8.
Question: Write an expression in simplest form for the area of a square
with a side of 9ab units.
Answer: 81a2b2
Correct Feedback: Area of a square = s2 = (9ab)2 = 81a2b2.
Incorrect Feedback: Area of a square = s2 = (9ab)2 = 81a2b2.
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Question: Write an expression in simplest form for the volume of a cube
with a side of 12x units.
Answer: 1,728x3
Correct Feedback: Volume of a cube = s3 = (12x)3 = 1,728x3.
Incorrect Feedback: Volume of a cube = s3 = (12x)3 = 1,728x3.
Question: Write an expression in simplest form for the volume of a box
with a length of 6a, a width of 4b, and a height of 2ab.
Answer: 48a2b2
Correct Feedback: Volume of a rectangular box = L W H = (6a)(4b)(2ab)
= (6)(4)(2)(aa)(bb) = 48a2b2.
Incorrect Feedback: Volume of a rectangular box = L W H =
(6a)(4b)(2ab) = (6)(4)(2)(aa)(bb) = 48a2b2.
27 a 9b

9 a 2 b
Answer: -3a7
Question:
1-Quiz 4
#18
1-Quiz 4
#19
Correct Feedback:
Incorrect Feedback:
28a

Question:
4a 3
7
Answer: 2
a
Correct Feedback:
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#1
Incorrect Feedback:
Question: The area of a rectangle is 44a3b4 and its width is 11a2b. What
is its length?
Answer: 4ab3
Correct Feedback: Area = LW. 44a3b4 = L (11a2b). L = 44a3b4/11a2b =
4ab3.
Incorrect Feedback: Area = LW. 44a3b4 = L (11a2b). L = 44a3b4/11a2b
= 4ab3.
Question: What is the mean of the data? Round to the nearest whole
number.
Answer: 114
Correct Feedback: [2(100) + 105 + 106 + 107 + 2(109) + 110 + 3(112) +
3(114) + 115 + 116 + 117 + 4(118) + 120 + 128 + 134] / 24 = 2,726/24
=113.58333… ≈ 114.
Incorrect Feedback: [2(100) + 105 + 106 + 107 + 2(109) + 110 + 3(112)
+ 3(114) + 115 + 116 + 117 + 4(118) + 120 + 128 + 134] / 24 = 2,726/24
=113.58333… ≈ 114.
Question: If 3200 cars were sold all year, how many were sold in the
January - February period?
1-Quiz 5
#4
Answer: 288
Correct Feedback: 9% of 3200 = (0.09)(3200) = 288.
Incorrect Feedback: 9% of 3200 = (0.09)(3200) = 288.
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Question: All of the people in my family so far have brown eyes. If I have
a child, the child will probably have brown eyes. What type of reasoning
is this?
Answer: inductive
Correct Feedback: When a conclusion is drawn, based on observed
patterns, inductive reasoning has been used.
Incorrect Feedback: When a conclusion is drawn based on observed
patterns, inductive reasoning has been used.
Question: That if x ∙ y = 0, then either x or y is 0. You have this problem
for homework: 5x=0 and reason that x must be 0. What type of reasoning
is this?
Answer: deductive
Correct Feedback: When a conclusion is drawn, based on a given rule or
property, deductive reasoning is used.
Incorrect Feedback: When a conclusion is drawn, based on a given rule
or property, deductive reasoning is used.
Question: If two numbers multiply to give an even number, then both the
numbers are even. Which of the following is a counterexample of the
rule?
Answer: (4)(5) = 20
Correct Feedback: Since this example shows that both numbers do not
have to be even to give an even product, it is a counterexample of the
statement.
Incorrect Feedback: The statement must show that both numbers do not
have to be even to give an even product, to be a counterexample.
Question: The stem-and-leaf plot represents the highest recorded
temperatures in 24 of the states in the U.S. Find the mode of the data.
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#9
Answer: 118
Correct Feedback: The mode is the number which appears the greatest
number of times. This would be the 8 leaf in the stem row of 11. The
mode is 118.
Incorrect Feedback: The mode is the number which appears the greatest
number of times. This would be the 8 leaf in the stem row of 11. The
mode is 118.
Question: The stem-and-leaf plot represents the highest recorded
temperatures in 24 of the states in the U.S. What is the median of the
data?
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Answer: 114
Correct Feedback: The median is the middle number or the average of
the two middle numbers. Since there are 24 leaves, the two middle
numbers are the 12th and 13th. These are the leaves 4 and 4 in the 11
stem row. The median is 114.
Incorrect Feedback: The median is the middle number or the average of
the two middle numbers. Since there are 24 leaves, the two middle
numbers are the 12th and 13th. These are the leaves 4 and 4 in the 11
stem row. The median is 114.
Question: If x =3 and y = -2 , then y4 - 4x = ?
Answer: 4
Correct Feedback: (-2)4 – 4(3) = 16 – 12 = 4.
Incorrect Feedback: (-2)4 – 4(3) = 16 – 12 = 4.
Question: Simplify (-6)2.
Answer: 36
Correct Feedback: (-6)(-6) = 36.
Incorrect Feedback: (-6)(-6) = 36.
Question: Simplify the expression: 5a + 3a + 1.
Answer: 8a + 1
Correct Feedback: = (5a + 3a) + 1 = 8a + 1.
Incorrect Feedback: = (5a + 3a) + 1 = 8a + 1.
Question: Simplify the expression: 9x + 4y - 7x + 2y.
Answer: 2x + 6y
Correct Feedback: = (9x – 7x) + (4y + 2y) = 2x + 6y.
Incorrect Feedback: = (9x – 7x) + (4y + 2y) = 2x + 6y.
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Question: (3m)(4n)(2p) = 24mnp.
Answer: True
Correct Feedback: Regroup and multiply: (3)(4)(2)(mnp) = 24mnp.
Incorrect Feedback: Regroup and multiply: (3)(4)(2)(mnp) = 24mnp.
Question: Simplify the expression: 8(3x - 4).
Answer: 24x - 32
Correct Feedback: Distribute: 8(3x) – 8(4) = 24x – 32.
Incorrect Feedback: Distribute: 8(3x) – 8(4) = 24x – 32.
Question: Simplify the expression: -2(6a) - (-3)(-7a).
Answer: -33a
Correct Feedback: Multiply and then add or subtract: -2(6a) - (-3)(-7a) = 12a – 21a = -33a.
Incorrect Feedback: Multiply and then add or subtract: -2(6a) - (-3)(-7a) =
-12a – 21a = -33a.
Question: 4000
Answer: 1
Correct Feedback: Any positive number to the zero power is equal to 1.
Incorrect Feedback: Any positive number to the zero power is equal to 1.
Question: Simplify:
Answer: 1/49
Correct Feedback: A negative exponent indicates the reciprocal: 7-2 =
1/72 = 1/49.
Incorrect Feedback: A negative exponent indicates the reciprocal: 7-2 =
1/72 = 1/49.
Question: Simplify:
Answer: 16
Correct Feedback: A negative exponent indicates the reciprocal: 1/4-2 =
42 = 16.
Incorrect Feedback: A negative exponent indicates the reciprocal: 1/4-2 =
42 = 16.
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Question: Simplify:
Answer: 11
Correct Feedback: 112 = 121.
Incorrect Feedback: 112 = 121.
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Question:
Answer: -5
Correct Feedback: (-5)3 = -125.
Incorrect Feedback: (-5)3 = -125.
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Question: Using the formula,
, find the speed of a car in miles per
hour if it took 150 feet to stop. Round your answer to a whole number.
Answer: 60 mph
Correct Feedback:
Incorrect Feedback:
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Question: Simplify:
Answer: 8
Correct Feedback:
Incorrect Feedback:
Question: a4(a-1)(a3)
Answer: a6
Correct Feedback: a4(a-1)(a3) = a4 + -1 + 3 = a6.
Incorrect Feedback: a4(a-1)(a3) = a4 + -1 + 3 = a6.
Question: Simplify:
Answer: -8a6b5
Correct Feedback: = (-2)(4)(a1+5)(b3+2) = -8a6b5.
Incorrect Feedback: = (-2)(4)(a1+5)(b3+2) = -8a6b5.
Question: Simplify: (3x4)3
Answer: 27x12
Correct Feedback: = 33 x4·3 = 27x12.
Incorrect Feedback: = 33 x4·3 = 27x12.
Question:
Answer: 12x3y4
Correct Feedback: V = LWH = (2x2)(2xy)(3y3) = 12x3y4.
Incorrect Feedback: V = LWH = (2x2)(2xy)(3y3) = 12x3y4.
2
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4
Question:   
5
Answer: 16/25
Correct Feedback: = 42/52 = 16/25.
Incorrect Feedback: = 42/52 = 16/25.
15m3n8
Question:

3mn4
Answer: 5m2n4
Correct Feedback: = 5 m3-1 n8-4 = 5m2n4.
Incorrect Feedback: = 5 m3-1 n8-4 = 5m2n4.
Question: Which of the following is a counterexample of the statement?
If you play basketball, then you live in Kentucky.
Answer: Cara plays basketball and she lives in California.
Correct Feedback: The statement must show a basketball player that
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does not live in Kentucky, to be a counter example.
Incorrect Feedback: The statement must show a basketball player that
does not live in Kentucky, to be a counter example.
Question: Which type of reasoning is being used in the statement? I
know that 4(3x + 2) = 12x + 8 because of the Distributive Property.
Answer: Deductive
Correct Feedback: When a conclusion is drawn, based on a given rule or
property, deductive reasoning is used.
Incorrect Feedback: When a conclusion is drawn, based on a given rule
or property, deductive reasoning is used.
Question:
If the circle graph represents the percentage of pets in each group, how
many cats are in the group if there are 900 pets total?
Answer: 180
Correct Feedback: 20% of 900 = (0.20)(900) = 180.
Incorrect Feedback: 20% of 900 = (0.20)(900) = 180.
Question:
The stem and leaf plot represents the scores of the Mid-Town High School
basketball team this season. What is their mode score?
Answer: 70 and 75
Correct Feedback: The mode is the number which appears most often.
The leaf 5 in the 7 stem row and the leaf 0 in the 7 stem row each appear
3 times. The modes are 70 and 75.
Incorrect Feedback: The mode is the number which appears most often.
The leaf 5 in the 7 stem row and the leaf 0 in the 7 stem row each appear
3 times. The modes are 70 and 75.
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Question:
This stem and leaf plot represents the scores of the Mid-Town High
School basketball team this season. What is their mean score, to the
nearest tenth?
Answer: 74.7
Correct Feedback: [90 + 2(91) + 92 + 93 + 80 + 83 + 2(88) + 89 + 3(70) +
72 + 74 + 3(75) + 76 + 77 + 60 + 64 + 2(65) + 68 + 2(50) + 51] / 28 =
2,092/28 = 74.714… ≈ 74.7.
Incorrect Feedback: [90 + 2(91) + 92 + 93 + 80 + 83 + 2(88) + 89 + 3(70)
+ 72 + 74 + 3(75) + 76 + 77 + 60 + 64 + 2(65) + 68 + 2(50) + 51] / 28 =
2,092/28 = 74.714… ≈ 74.7.
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Question:
This stem and leaf plot represents the scores of the Mid-Town High
School basketball team this season. What is their median score?
Answer: 75
Correct Feedback: The median is the middle number or the average of
the two middle numbers. There are 28 numbers, so the median is the
average of the 14th and 15th numbers 75 and 75 (counting from the
bottom, since the lowest numbers are on the bottom.)
Incorrect Feedback: The median is the middle number or the average of
the two middle numbers. There are 28 numbers, so the median is the
average of the 14th and 15th numbers 75 and 75 (counting from the
bottom, since the lowest numbers are on the bottom.)