All Algebra 1 Resources
Example Questions
Example Question #11 : Linear Equations
What is the smaller root of ?
To determine the roots of the equation, you must set each expression equal to 0. In this case, there are two expressions being multiplied. Thus, you must set and , which would give you and as roots, with being the smaller root.
Example Question #12 : Linear Equations
Solve for :
Simplify the equation to get . Simplify further to get , which then gives you .
Example Question #13 : Linear Equations
Example Question #14 : Linear Equations
Example Question #15 : Linear Equations
Solve for .
Multiply the terms in parentheses using the distributive property.
Then, combine like terms on both sides of the equation.
Then, put the terms on the left and the integers on the right:
Divide both sides by two to isolate .
Example Question #16 : Linear Equations
Solve for .
Add 8 to both sides.
Simplify.
Example Question #17 : Linear Equations
Solve for :
Since both sides of the equation have , you can eliminate both from the equation with the knowledge that they would cancel each other out. This gives you the shorter equation of
.
Add to both sides to get
.
Finally, divide both sides by to get .
Example Question #18 : Linear Equations
Solve for
None of the other answers
Solve by isolating on one side of the equation by itself
Multiply each side of equation by 11
Example Question #19 : Linear Equations
Solve for .
Add 15 to each side of the equation.
Example Question #20 : Algebra 1
Solve for :
Multiply both sides of the equation by the reciprocal of , which is . This will give us:
We can think of this as dividing by 3 and multiplying by 5. It doesn't matter what order we do those opperations in, so we'll divide by 3 first. .
Now we'll multiply by 5: .
So our answer is 10.
Certified Tutor