Which of the following is an example of an open equation?
(1 point)
Responses
5x + 7 = 12
5 x + 7 = 12
12 + (–8) = 4
12 + (–8) = 4
25 = 5(5)
25 = 5(5)
8 + 0 = 8
8 + 0 = 8
Which of the following equations has 3 as a solution?
(1 point)
Responses
‒2b = 6
‒2 b = 6
4a ‒ 5 = 12
4 a ‒ 5 = 12
5y = y + 8
5 y = y + 8
z ‒ 15 = ‒12
4a ‒ 5 = 12
Is (1, 5) a solution to the equation y = x – 2?
(1 point)
Responses
yes
yes
no
No
Is (–2, –6) a solution to the equation y = 3x?
(1 point)
Responses
yes
yes
no
Yes
Which of (3, 5), (4, 6), (5, 7), and (6, 8) are solutions to y = x + 2?
(1 point)
Responses
(3, 5) and (4, 6)
(3, 5) and (4, 6)
(4, 6) and (5, 7)
(4, 6) and (5, 7)
none
none
all
(3, 5) and (4, 6) are solutions to y = x + 2.
Which equation would be used to generate the data in the following table?
x y
1 8
2 16
3 24
4 32
(1 point)
Responses
x = 2y
x = 2 y
y = x + 7
y = x + 7
y = 2x
y = 2 x
y = 8x
y = 8x
On a treadmill, you burn 11 calories in 1 minute, 22 calories in 2 minutes, 33 calories in 3 minutes, and so on. How many calories do you burn in 10 minutes?
(1 point)
Responses
50 calories
50 calories
100 calories
100 calories
110 calories
110 calories
1100 calories
110 calories
What does it mean to use inductive reasoning to solve a problem?
(1 point)
Responses
to solve by guessing
to solve by guessing
to draw a picture
to draw a picture
to solve by observing patterns
to solve by observing patterns
to ask someone for help
to solve by observing patterns
Explain why (4, 1) is not a solution to the equation y = 3x + 1.
To check if (4, 1) is a solution to the equation y = 3x + 1, we substitute the x and y values into the equation.
When we substitute x = 4 and y = 1 into the equation, we get:
1 = 3(4) + 1,
1 = 12 + 1,
1 = 13.
Since 1 is not equal to 13, it means that (4, 1) is not a solution to the equation y = 3x + 1.