All ISEE Upper Level Quantitative Resources
Example Questions
Example Question #122 : Equations
Which of the following is a true statement?
Similarly,
By substitution:
Example Question #123 : Equations
Express in terms of
.
Example Question #801 : Isee Upper Level (Grades 9 12) Quantitative Reasoning
Which of the following is true of ?
Example Question #125 : Equations
Which of the following is true of ?
None of the other responses gives a correct answer.
Example Question #126 : Equations
Define to be the function graphed in the figure above, and
.
Evaluate
is outside the domain of
From the diagram below, it can be seen that .
, so
Therefore,
.
Example Question #121 : How To Find The Solution To An Equation
Define to be the function graphed in the figure above, and
.
Evaluate
is outside the domain of
.
Examine the diagram below.
As can be seen, . Therefore,
.
Example Question #131 : How To Find The Solution To An Equation
Let be the function whose graph is shown in the above figure.
is defined by the equation
.
Give the -intercept of the graph of
.
The graph of has no
-intercept.
The -intercept of a function is the point at which
, so we can find this by evaluating
.
As seen in the diagram below, .
Therefore, , and the
-intercept of the graph of
is
.
Example Question #132 : How To Find The Solution To An Equation
Let be the function whose graph is shown in the above figure.
is defined by the equation
.
Give the -intercept of the graph of
.
The graph of has no
-intercept.
The -intercept of a function is the point at which
, so we can find this by evaluating
.
As seen in the diagram below, .
Therefore, , and the
-intercept of the graph of
is
Example Question #131 : How To Find The Solution To An Equation
Let be the function whose graph is shown in the above figure.
is defined by the equation
.
Give the -intercept of the graph of
.
The graph of has no
-intercept.
The -intercept of a function is the point at which
, so we can find this by evaluating
.
The graph of includes the point
, as can be seen in the diagram below:
Therefore, and
. The
-intercept of the graph of
is
.
Example Question #131 : Equations
Give the solution set of the equation
.
The equation has no solution.
Either
or
so we solve each separately.
The solution set is .
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All ISEE Upper Level Quantitative Resources
