All SAT Math Resources
Example Questions
Example Question #1 : Linear / Rational / Variable Equations
Find the solution to the following equation if x = 3:
y = (4x2 - 2)/(9 - x2)
3
no possible solution
0
6
no possible solution
Substituting 3 in for x, you will get 0 in the denominator of the fraction. It is not possible to have 0 be the denominator for a fraction so there is no possible solution to this equation.
Example Question #1 : How To Find Out When An Equation Has No Solution
I. x = 0
II. x = –1
III. x = 1
II only
III only
II and III only
I, II, and III
I only
I only
Example Question #2 : Linear / Rational / Variable Equations
There is no solution
1
–1/2
3
–3
There is no solution
Example Question #1 : How To Find Out When An Equation Has No Solution
None of the other answers
A fraction is considered undefined when the denominator equals 0. Set the denominator equal to zero and solve for the variable.
Example Question #4 : How To Find Out When An Equation Has No Solution
Solve:
First, distribute, making sure to watch for negatives.
Combine like terms.
Subtract 7x from both sides.
Add 18 on both sides and be careful adding integers.
Example Question #2 : How To Find Out When An Equation Has No Solution
Solve:
No Solution
Infinitely Many Solutions
No Solution
First, distribute the to the terms inside the parentheses.
Add 6x to both sides.
This is false for any value of . Thus, there is no solution.
Example Question #2 : How To Find Out When An Equation Has No Solution
Solve .
No solutions
No solutions
By definition, the absolute value of an expression can never be less than 0. Therefore, there are no solutions to the above expression.
Example Question #1 : How To Find Out When An Equation Has No Solution
,
In the above graphic, approximately determine the x values where the graph is neither increasing or decreasing.
We need to find where the graph's slope is approximately zero. There is a straight line between the x values of , and . The other x values have a slope. So our final answer is .
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