What is the simplified form of the expression?
7m2 + 6.5n – 4n + 2.5m2 – n
(1 point)
Responses
9.5m2 + 1.5n
9.5 m 2 + 1.5 n
4.5m2 + 1.5n
4.5 m 2 + 1.5 n
1.5m2 – 4.2n
1.5 m 2 – 4.2 n
9.5m2 – 1.5n
The simplified form of the expression is 9.5m2 + 1.5n.
Simplify the following expression:
2(6x + 18)
(1 point)
Responses
–12x + 36
–12 x + 36
8x + 20
8 x + 20
6x + 36
6 x + 36
12x + 36
The simplified form of the expression is 12x + 36.
What is the product?
2 • (–7)
(1 point)
Responses
–9
–9
–2
–2
–14
–14
14
The product of 2 • (–7) is –14.
Which property is illustrated by the statement? equation
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Commutative Property of Multiplication
Commutative Property of Multiplication
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
The property illustrated by the statement "equation" cannot be determined without additional information.
Which property is illustrated by the statement? 2-(-3 over 9) = (-3 over 9)2
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Commutative Property of Multiplication
Commutative Property of Multiplication
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
The property illustrated by the statement "2-(-3 over 9) = (-3 over 9)2" is the Commutative Property of Multiplication.
Which property is illustrated by the statement?
8 + 3.4 = 3.4 + 8
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
Commutative Property of Addition
Inverse Property of Addition
The property illustrated by the statement "8 + 3.4 = 3.4 + 8" is the Commutative Property of Addition.
Order the following numbers from least to greatest.
square root of two, negative two thirds, square root of eleven, 0.8, –0.2
(1 point)
Responses
square root of two, –0.2, negative two thirds, square root of eleven, 0.8
Image with alt text: square root of two , –0.2, Image with alt text: negative two thirds , Image with alt text: square root of eleven , 0.8
negative two thirds, –0.2, square root of two, square root of eleven, 0.8
Image with alt text: negative two thirds , –0.2, Image with alt text: square root of two , Image with alt text: square root of eleven , 0.8
negative two thirds, –0.2, 0.8, square root of two, square root of eleven
Image with alt text: negative two thirds , –0.2, 0.8, Image with alt text: square root of two , Image with alt text: square root of eleven
square root of two, square root of eleven, –0.2, negative two thirds, 5.1
The correct order of the numbers from least to greatest is:
negative two thirds, –0.2, square root of two, square root of eleven, 0.8
Which number line can you use to simplify 2 + (–8)?
(1 point)
Responses
S_ALG1_01_09_question 7_aThe number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at negative 2. A ray above the number line starts above the number negative 2 and points to the left. The ray stops above the number negative 10. The ray has negative 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals negative 10.
Image with alt text: S_ALG1_01_09_question 7_a The number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at negative 2. A ray above the number line starts above the number negative 2 and points to the left. The ray stops above the number negative 10. The ray has negative 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals negative 10.
S_ALG1_01_09_question 7_bThe number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at negative 2. A ray above the number line starts above the number 2 and points to the right. The ray stops above the number 10. The ray has plus 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals 10.
Image with alt text: S_ALG1_01_09_question 7_b The number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at negative 2. A ray above the number line starts above the number 2 and points to the right. The ray stops above the number 10. The ray has plus 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals 10.
S_ALG1_01_09_question 7_cThe number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at negative 2. A ray above the number line starts above the number negative 2 and points to the left. The ray stops above the number negative 10. The ray has plus 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals negative 10.
Image with alt text: S_ALG1_01_09_question 7_c The number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at negative 2. A ray above the number line starts above the number negative 2 and points to the left. The ray stops above the number negative 10. The ray has plus 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals negative 10.
S_ALG1_01_09_question 7_dThe number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at 2. A ray above the number line starts above the number negative 2 and points to the left. The ray stops above the number negative 6. The ray has minus 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals negative 6.
Image with alt text: S_ALG1_01_09_question 7_d The number line has numbers from negative 10 to 10 with a step size of 2. A solid circle is plotted at 2. A ray above the number line starts above the number negative 2 and points to the left. The ray stops above the number negative 6. The ray has minus 8 written above it. Below the number line is the equation 2 plus left-parenthesis negative 8 right-parenthesis equals negative 6.
The number line that can be used to simplify 2 + (–8) is the image given in "S_ALG1_01_09_question 7_a". This number line shows a solid circle at -2, with a ray to the left that stops at -10. The ray has -8 written above it. The equation 2 + (-8) = -10 is shown below the number line.
To which subsets of the real numbers does the number square root of seven belong?
(1 point)
Responses
rational numbers
rational numbers
irrational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
The number square root of seven belongs to the subset of irrational numbers.
Which sum or difference is equivalent to the following expression?
15x-20 over 5
(1 point)
Responses
15x – 4
15 x – 4
10x – 15
10 x – 15
3x – 4
3 x – 4
3x – 20
The sum or difference that is equivalent to the expression 15x - 20 over 5 is 3x - 4.
What is the algebraic expression for the following word phrase: the product of 6 and n?
(1 point)
Responses
6 – n
6 – n
6 + n
6 + n
6n
6 n
start fraction n over 6 end fraction
The algebraic expression for the word phrase "the product of 6 and n" is 6n.
What is the algebraic expression for the following word phrase: the quotient of 5 and the difference of x and z?
(1 point)
Responses
five minus z over x
Image with alt text: five minus z over x
x over five minus z
Image with alt text: x over five minus z
z over five minus x
Image with alt text: z over five minus x
five over x minus z
The algebraic expression for the word phrase "the quotient of 5 and the difference of x and z" is 5/(x - z).
What is an algebraic expression for the following word phrase: "the quotient of j and 8"?
(1 point)
Responses
j – 8
j – 8
j + 8
j + 8
j over eight
Image with alt text: j over eight
8j
The algebraic expression for the word phrase "the quotient of j and 8" is j/8.
What is the difference?
–3 – 4
(1 point)
Responses
–1
–1
–7
–7
7
7
1
The difference of -3 and -4 is -7.
What is the simplified form of the following expression? square root of one over one hundred forty-four
(1 point)
Responses
two over one hundred forty-four
Image with alt text: two over one hundred forty-four
one over two hundred eighty-eight
Image with alt text: one over two hundred eighty-eight
one over twelve
Image with alt text: one over twelve
12
The simplified form of the expression "square root of one over one hundred forty-four" is 1/12.
Which property is illustrated by the statement?
(xy)z = x(yz)
(1 point)
Responses
Associative Property of Multiplication
Associative Property of Multiplication
Commutative Property of Multiplication
Commutative Property of Multiplication
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
The property illustrated by the statement "(xy)z = x(yz)" is the Associative Property of Multiplication.
Evaluate a over b+ c2d for a = 6, b = 3, c = 4, and d = 5.
(1 point)
Responses
42
42
18
18
82
82
360
To evaluate a/b + c^2d for a = 6, b = 3, c = 4, and d = 5, we substitute these values into the expression:
(6/3) + (4^2) * 5
Simplifying the expression:
2 + 16 * 5
Performing the multiplication:
2 + 80
Adding:
82
Therefore, the value of the expression is 82.
What is the product? 4(–5)
(1 point)
Responses
20
20
–20
–20
–1
–1
9
The product of 4(–5) is –20.
Simplify the expression.
left parenthesis two thirds right parenthesis cubed
(1 point)
Responses
start fraction 6 over 9 end fraction
Image with alt text: start fraction 6 over 9 end fraction
start fraction 8 over 27 end fraction
Image with alt text: start fraction 8 over 27 end fraction
four-ninths
Image with alt text: four-ninths
Start Fraction 5 over 6 End Fraction
The simplified form of the expression "(two thirds) cubed" is "eight twenty-sevenths" or "start fraction 8 over 27".
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What word phrase can you use to represent the algebraic expression 3m?
(1 point)
Responses
3 plus a number m
3 plus a number m
3 minus a number m
3 minus a number m
3 times a number m
3 times a number m
3 divided by a number m
The word phrase that can be used to represent the algebraic expression 3m is "3 times a number m".
What is the simplified form of the expression?
–(4y – 5z)
(1 point)
Responses
4y – 5z
4 y – 5 z
–4y + 5z
–4 y + 5 z
–4y – 5z
–4 y – 5 z
4y + 5z
The simplified form of the expression –(4y – 5z) is –4y + 5z.
What is the simplified form of the expression? 12[62 ÷ (52 – 42) + 4]?
(1 point)
Responses
96
96
16
16
148
148
48
To simplify the expression 12[62 ÷ (52 – 42) + 4], we follow the order of operations (PEMDAS/BODMAS):
First, we simplify the innermost parentheses: 52 - 42 = 10.
Next, we simplify the division inside the brackets: 62 ÷ 10 = 6.2.
Now, we can rewrite the expression as 12[6.2 + 4].
Adding the numbers inside the brackets: 6.2 + 4 = 10.2.
Finally, we multiply the result by the number outside the brackets: 12 * 10.2 = 122.4.
Therefore, the simplified form of the expression 12[62 ÷ (52 – 42) + 4] is 122.4.
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Simplify the expression Start Fraction 4 s g over negative 5 g End Fraction.
(1 point)
Responses
negative four-fifthss
Image with alt text: negative four-fifths s
four-fifthsg
Image with alt text: four-fifths g
negative five-fourthss
Image with alt text: negative five-fourths s
negative five-fourthsg
The simplified form of the expression Start Fraction 4sg over negative 5g is negative four-fifths s.
What is the value ofStart Fraction x over y End Fractionwhen x = –15 and y = –3?
(1 point)
Responses
5
5
–5
–5
12
12
–12
To find the value of Start Fraction x over y when x = –15 and y = –3, we substitute these values into the expression:
Start Fraction –15 over –3
Simplifying the fraction:
(-15) / (-3) = 5
Therefore, the value of Start Fraction x over y when x = –15 and y = –3 is 5.
You are given a problem that involves multiplying a positive number and a negative number. Which of the following are reasonable answers? Select all that apply.
(1 point)
Responses
negative 2
Image with alt text: negative 2
2
2
negative 5
Image with alt text: negative 5
5
The reasonable answers when multiplying a positive number and a negative number are:
-2 (negative 2)
-5 (negative 5)
Which of the following are reasonable answers for the product of two negative numbers and a positive number? Select all that apply.
(1 point)
Responses
20
20
10
10
negative 20
Image with alt text: negative 20
negative 15
The reasonable answers for the product of two negative numbers and a positive number are:
-20 (negative 20)
-15 (negative 15)