1 of 91 of 9 Items

Question

Question
Multiple Choice
Solve the following problem: –43 + 17 =
(1 point)
Responses

60
60

26
26

–26
–26

–60
–60
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Answer 1

The correct answer is -26.

Answer 2

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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Answer 3

The correct answer is -81.

Answer 4

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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Answer 5

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.

Answer 6

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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Answer 7

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.

Answer 8

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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Answer 9

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.

Answer 10

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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Answer 11

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.

Answer 12

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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Answer 13

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}.