8.4.7 Practice

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

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!!

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

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=

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*

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.

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.

Solve.

(If your answer is a fraction, keep it as a fraction.)

3x-6=4(2-3x)-8x

Solve.

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

Solve.

(If your answer is a fraction, keep it as a fraction.)

9-7w=8w+8

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.

The point (-3,6) is on a line with a slope of 4.

Find the y-intercept then write an equation for the line.