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8.4.7 Practice

Last updated over 1 year ago

12 questions

5

For each equation, decide if it is always true or never true.

x-13=x+1
x+\frac{1}{2}=x-\frac{1}{2}
2(x+3)=5x+6-3x
x-3=2x-3-x
3(x-5)=2(x-5)+x

True
Never True

1

Mai says that the equation 2x+2=x+1 has no solution because the left hand side is double the right hand side.
Do you agree with Mai? Explain why on your paper!!

1

Write the other side of this equation so it's true for all values of x:\frac{1}{2}(6x-10)-x=

1

Select all that are true.
Write the other side of this equation so it's true for no values of x:\frac{1}{2}(6x-10)-x=

1

Here is an equation that is true for all values of x:5(x+2)=5x+10 . Elena saw this equation and said she can tell 20(x+2)+31=4(5x+10)+31 is also true for any value of x. How can she tell?
Explain your reasoning.
Type your answer - I will check it in class

1

Elena and Lin are trying to solve \frac{1}{2}x+3=\frac{7}{2}x+5 .
Describe the change they each make to each side of the equation.
a. Elena’s first step is to write 3=\frac{6}{2}x+5.

1

Elena and Lin are trying to solve \frac{1}{2}x+3=\frac{7}{2}x+5 . Describe the change they each make to each side of the equation.
b. Elena’s first step is to write x+6=7x+10.

1

Solve.
(If your answer is a fraction, keep it as a fraction.)
3x-6=4(2-3x)-8x

1

Solve.
\frac{1}{2}z+6=\frac{3}{2}(z+6)

1

Solve.
(If your answer is a fraction, keep it as a fraction.)
9-7w=8w+8

1

The point (-3,6) is on a line with a slope of 4.
Find two more points on the line.
Select all other points on this line.

1

The point (-3,6) is on a line with a slope of 4.
Find the y-intercept then write an equation for the line.