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Solving Linear Equations: Variable on One Side Answers

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Determine which statements are true. Check all that apply.

A
h(x) has a constant output of –2.50.
B
As x increases, g(x) increases.
C
g(x) is greater than –2.50 for x values less than –1.
D
h(x) is less than –2.50 for x values greater than –2.
E
The input value for which g(x) = h(x) is between –1 and 0.
72711

⇒ 1.2

Answer:

72711

72719

$2✔ $3$4 $5

A
$2
B
$3
C
$4
D
$5
72723

$4$5✔ $6$7

A
$4
B
$5
C
$6
D
$7
72725

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.7h – 5(3h – 8) = –72Which statement is true about Pieter’s solution?

A
It cannot be a fraction or decimal because the depth of the well is a whole number.
B
It must be a positive number since it represents a number of hours.
C
It must be a negative number because the depth is below sea level.
D
It cannot be greater than –72 because that is the depth of the well.
72728

Analyze Lorena’s work to determine which statements are correct. Check all that apply.

A
In Step 1, she correctly distributed –3 to the parentheses.
B
In Step 2, she combined like terms 5k and 2k.
C
In Step 3, she applied the multiplication property of equality to isolate the variable term.
D
In Step 4, she should have multiplied both sides by –1 to isolate the variable.
E
Lorena found the correct solution to the linear equation.

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