SAT Math : How to find out when an equation has no solution

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1 :How To Find Out When An Equation Has No Solution

Find the solution to the following equation if x = 3:

y = (4x2- 2)/(9 - x2)

Possible Answers:

3

6

no possible solution

0

Correct answer:

no possible solution

Explanation:

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 #131 :Linear / Rational / Variable Equations

Undefined_denom3

I.x= 0

II.x= –1

III.x= 1

Possible Answers:

III only

II only

I only

II and III only

I, II, and III

Correct answer:

I only

Explanation:

Undefined_denom2

Example Question #1 :How To Find Out When An Equation Has No Solution

Nosol1

Possible Answers:

–1/2

–3

There is no solution

1

3

Correct answer:

There is no solution

Explanation:

Nosol2

Example Question #2 :How To Find Out When An Equation Has No Solution

Possible Answers:

None of the other answers

Correct answer:

Explanation:

A fraction is considered undefined when the denominator equals 0. Set the denominator equal to zero and solve for the variable.

# 47例问题:Algebra

Solve:

Possible Answers:

Correct answer:

Explanation:

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 #48 :Algebra

Solve:

Possible Answers:

No Solution

Infinitely Many Solutions

Correct answer:

No Solution

Explanation:

First, distribute theto the terms inside the parentheses.

Add 6x to both sides.

This is false for any value of. Thus, there is no solution.

Example Question #41 :Algebra

Solve.

Possible Answers:

No solutions

Correct answer:

No solutions

Explanation:

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

,Screen shot 2016 02 18 at 9.31.39 am

In the above graphic, approximately determine the x values where the graph is neither increasing or decreasing.

Possible Answers:

Correct answer:

Explanation:

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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