Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 7
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Last updated 9 months ago
12 questions
1
For each equation, decide if it is always true or never true.
For each equation, decide if it is always true or never true.
- x-13=x+1
- x+\frac{1}{2}=x-\frac{1}{2}
- x-3=2x-3-x
- 2(x+3)=5x+6-3x
- 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?
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?
1
Write the other side of this equation so it's true for all values of x:\frac{1}{2}(6x-10)-x=
Write the other side of this equation so it's true for all values of x:\frac{1}{2}(6x-10)-x=
1
Write the other side of this equation so it's true for no values of x:\frac{1}{2}(6x-10)-x=
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 says she can tell 20(x+2)+31=4(5x+10) is also true for any value of x. How can she tell?
Explain your reasoning.
Here is an equation that is true for all values of x:5(x+2)=5x+10 . Elena saw this equation and says she can tell 20(x+2)+31=4(5x+10) is also true for any value of x. How can she tell?
Explain your reasoning.
1
Elena and Lin are trying to solve \frac{1}{2}+3=\frac{7}{2}x+5 . Describe the change they each make to each side of the equation.- Elena’s first step is to write 3=\frac{7}{2}-{1}{2}x+5.
Elena and Lin are trying to solve \frac{1}{2}+3=\frac{7}{2}x+5 . Describe the change they each make to each side of the equation.
- Elena’s first step is to write 3=\frac{7}{2}-{1}{2}x+5.
1
Elena and Lin are trying to solve \frac{1}{2}+3=\frac{7}{2}x+5 . Describe the change they each make to each side of the equation.- Elena’s first step is to write x+6=7x+10.
Elena and Lin are trying to solve \frac{1}{2}+3=\frac{7}{2}x+5 . Describe the change they each make to each side of the equation.
- Elena’s first step is to write x+6=7x+10.
1
Solve each equation and check your solution.(If your answer is a fraction, keep it as a fraction.)
3x-6=4(2-3x)-8x
Solve each equation and check your solution.(If your answer is a fraction, keep it as a fraction.)
3x-6=4(2-3x)-8x
1
Solve each equation and check your solution.(If your answer is a fraction, keep it as a fraction.)
\frac{1}{2}z+6=\frac{3}{2}(z+6)
Solve each equation and check your solution.(If your answer is a fraction, keep it as a fraction.)
\frac{1}{2}z+6=\frac{3}{2}(z+6)
1
Solve each equation and check your solution.(If your answer is a fraction, keep it as a fraction.)
9-7w=8w+8
Solve each equation and check your solution.(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.
The point (-3,6) is on a line with a slope of 4.
Find two more points on the line.
1
The point is on a line with a slope of 4.
Write an equation for the line.
The point is on a line with a slope of 4.
Write an equation for the line.