Solve to find the value for x in the linear equation: 3(−4x + 5) = 12.
1. Use the distributive property:
2. Use the subtraction property of equality:
3. Division property of equality:
3(−4x) + 3(5) = 12
−12x + 15 = 12
−12x + 15 − 15 = 12 − 15
−12x = −3
x =
x = 1/4
Consider the equation: 3(–4n – 9) = 21
Use the distributive property and properties of equality to solve for n.
n =
1. Use the distributive property:
2. Use the addition property of equality:
3. Division property of equality:
3(−4n) − 3(9) = 21
−12n − 27 = 21
−12n − 27 + 27 = 21 + 27
−12n = 48
n =
n = -4
Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
the addition property of equality and then the division property of equality
the addition property of equality and then the multiplication property of equality
the subtraction property of equality and then the division property of equality
the subtraction property of equality and then the multiplication property of equality
the division property of equality and then the multiplication property of equality
incorrect
I apologize for the mistake.
The correct answer is "the subtraction property of equality and then the division property of equality".
Step 1: -1/2(6x + 10) = 13/(-1/2)
Step 2: 3x + 5 = -26
Step 3: 3x = -31
Step 4: x = -31/3
The inverse operations used for steps 2 and 3 are:
Subtract 5 from both sides (subtraction property of equality)
Divide both sides by 3 (division property of equality)
the correct awnser is the addition property of equality and then the division property of equality
I apologize for the confusion and incorrect information earlier - you are correct.
The inverse operations used for steps 2 and 3 are:
Add 5 to both sides (addition property of equality)
Divide both sides by -3 (division property of equality)
Consider this equation and the steps taken to solve it.
–9(a – 5) = –18 (distribute)
–9a + 45 = –18 (subtract 45)
–9a = –63 (divide by –9)
a = 7
What steps might you take to verify the solution? Check all that apply.
Substitute 7 for a.
Pick any value for a and substitute.
Simplify the equation after substituting the value for a.
Verify that a = 7 is correct when the result is a true statement.
Verify that a = 7 is correct when the result is a false statement.