1 of 91 of 9 Items
Question
Multiple Choice
Solve the following problem: –43 + 17 =
(1 point)
Responses
60
60
26
26
–26
–26
–60
–60
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The correct answer is -26.
2 of 92 of 9 Items
Question
Solve the following problem: –20 – 65 + 4 =
(1 point)
Responses
–81
–81
–89
–89
89
89
49
49
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The correct answer is -81.
Simplify the following expression: 121 ÷ 11 + 3 ∙ 4 ÷ 2
(1 point)
Responses
15
15
4.32
4.32
28
28
17
17
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To simplify the expression, follow the order of operations (PEMDAS/BODMAS):
121 ÷ 11 + 3 ∙ 4 ÷ 2
First, perform the division:
= 11 + 3 ∙ 4 ÷ 2
= 11 + 12 ÷ 2
Next, perform the multiplication:
= 11 + 6
Finally, perform the addition:
= 17
The simplified expression is 17.
Simplify the following expression: 21(x – 4) + 2
(1 point)
Responses
21x – 2
21 x – 2
107x
107 x
21x – 82
21 x – 82
27x
27 x
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To simplify the expression, distribute the 21 to the terms inside the parentheses:
21(x - 4) + 2
= 21x - 84 + 2
= 21x - 82
The simplified expression is 21x - 82.
Solve the following equation: 5x – 102 = 13
(1 point)
Responses
23
23
–23
–23
–17.8
–17.8
17.8
17.8
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To solve the equation 5x - 102 = 13, you need to isolate the variable x.
First, add 102 to both sides of the equation:
5x - 102 + 102 = 13 + 102
5x = 115
Next, divide both sides of the equation by 5:
5x/5 = 115/5
x = 23
The solution to the equation is x = 23.
6 of 96 of 9 Items
Question
Solve the following equation: 2x – 31 = 3(x + 2)
(1 point)
Responses
37
37
–37
–37
5
5
Image with alt text: thirty-seven over five
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To solve the equation 2x - 31 = 3(x + 2), you need to distribute the 3 to terms inside the parentheses:
2x - 31 = 3x + 6
Next, subtract 2x from both sides of the equation:
2x - 2x - 31 = 3x - 2x + 6
Simplifying, we have:
-31 = x + 6
Subtract 6 from both sides of the equation:
-31 - 6 = x + 6 - 6
Simplifying further:
-37 = x
So, the solution to the equation is x = -37.
Find the range of the function f(x) = 4x – 1 for the domain {–1, 0, 1, 2, 3}.
(1 point)
Responses
{–5, –3, 0, 7, 11}
{–5, –3, 0, 7, 11}
{–5, –4, –3, –2, –1}
{–5, –4, –3, –2, –1}
{–11, –7, –3, 1, 5}
{–11, –7, –3, 1, 5}
{–5, –1, 3, 7, 11}
{–5, –1, 3, 7, 11}
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To find the range of the function f(x) = 4x - 1 for the given domain {–1, 0, 1, 2, 3}, we need to calculate the corresponding values of f(x) for each x in the domain.
For x = -1:
f(-1) = 4(-1) - 1 = -4 - 1 = -5
For x = 0:
f(0) = 4(0) - 1 = 0 - 1 = -1
For x = 1:
f(1) = 4(1) - 1 = 4 - 1 = 3
For x = 2:
f(2) = 4(2) - 1 = 8 - 1 = 7
For x = 3:
f(3) = 4(3) - 1 = 12 - 1 = 11
Therefore, the range of the function f(x) = 4x - 1 for the given domain is {-5, -1, 3, 7, 11}. The correct response is {–5, –1, 3, 7, 11}.