Part IV

Question 1 of 15

1 point(s)

Question 1

Given \[h (x) =x^{2}-2\], find h(x – 3).

\[x^{2}-7x+9\]
\[x^{2}-6x+7\]
\[x^{2}-5x+8\]

Question 2 of 15

1 point(s)

Question 2a

What are the exact values of \[Sin(\frac{3\pi}{4})\]?

\[\frac{1}{5}\]
\[\frac{1}{\sqrt{3}}\]
\[\frac{1}{\sqrt{2}}\]

Question 3 of 15

1 point(s)

Question 2b

What are the exact values of \[Cot(\frac{5\pi}{3})\]?

\[\frac{1}{5}\]
\[\frac{1}{\sqrt{3}}\]
\[\frac{1}{\sqrt{2}}\]

Question 4 of 15

1 point(s)

Question 3

Simplify: \[\frac{(x+h)^{2}-(x)^{2}}{h}\]

4x + 3h
3x + 2h
2x + h

Question 5 of 15

1 point(s)

Question 4

Graph the function: \[y=Sin(x+\frac{\pi}{2})\]

A)
B)
C)
D)

Question 6 of 15

1 point(s)

Question 5

Graph the set {x \[\epsilon\]R : |x – 5| < 3} on a number line. Note that R denotes the set of real numbers.

A)
B)
C)
D)

Question 7 of 15

1 point(s)

Question 6a

Graph the circle whose equation is given by \[x^{2}+y^{2}-4x-2y-4=0\].

A)
B)
C)
D)

Question 8 of 15

1 point(s)

Question 6b

Write the coordinates of the center of the circle and the length of the radius of the circle.

radius =

center =( , )

Question 9 of 15

1 point(s)

Question 7

Solve for x: \[log_{2}(x-1)+log_{2}(x+4)=4\]

\[x=-\frac{3}{2} \pm \frac{\sqrt{89}}{2}\]
\[x=-\frac{1}{2} \pm \frac{\sqrt{88}}{2}\]
\[x=-\frac{5}{2} \pm \frac{\sqrt{87}}{2}\]

Question 10 of 15

1 point(s)

Question 8

\[x=\frac{2\sqrt{5}}{3}h\]
\[x=\frac{2\sqrt{7}}{3}h\]
\[x=\frac{2\sqrt{3}}{3}h\]

Question 11 of 15

1 point(s)

Question 9a

Graph the two equations, and show the points of intersection of the graphs.

\[x^{2}+y^{2}=4\] and \[x-y=1\]

A)
B)
C)
D)

Question 12 of 15

1 point(s)

Question 9b

Find all pairs (x, y) that simultaneously satisfy the following two equations:

\[x^{2}+y^{2}=4\] and \[x-y=1\]

\[(\frac{1+\sqrt{3}}{2}, \frac{-1+\sqrt{3}}{2}), (\frac{1-\sqrt{3}}{2}, \frac{-1-\sqrt{3}}{2})\]
\[(\frac{1+\sqrt{5}}{2}, \frac{-1+\sqrt{5}}{2}), (\frac{1-\sqrt{5}}{2}, \frac{-1-\sqrt{5}}{2})\]
\[(\frac{1+\sqrt{7}}{2}, \frac{-1+\sqrt{7}}{2}), (\frac{1-\sqrt{7}}{2}, \frac{-1-\sqrt{7}}{2})\]

Question 13 of 15

1 point(s)

Question 10

Prove the following trigonometric identity: \[Cos(2A)=Cos^{4}A-Sin^{4}A\]

Question 14 of 15

1 point(s)

Question 11

Write an algebraic equation that expresses the following statement: the sum of the distance between point (x, y) and point (-1, 5) and the distance between point (x, y) and point (2, -2) is equal to 10.

\[\sqrt{(x+1)^{2}+(y+5)^{2}}+\sqrt{(x-2)^{2}+(y-2)^{2}}=10\]
\[\sqrt{(x+1)^{2}+(y-5)^{2}}+\sqrt{(x-2)^{2}+(y+2)^{2}}=10\]
\[\sqrt{(x-1)^{2}+(y-5)^{2}}+\sqrt{(x+2)^{2}+(y+2)^{2}}=10\]

Question 15 of 15

1 point(s)

Question 12

Given: In \[\bigtriangleup \]PQR, T is the midpoint of QR and PT \[\perp\] QR. Write a two-column proof to show that \[\bigtriangleup \]PQT \[\cong\] \[\bigtriangleup \]PRT.

Directions: Match the correct statements.

Sort elements

T is the midpoint of QR.
Common side in \[\bigtriangleup\]PRT and \[\bigtriangleup\]PQT or reflexive property
PT\[\perp\]QR
SAS

QT\[\cong\]RT
PT\[\cong\]PT
\[\angle\]1 = \[\angle\]2
\[\bigtriangleup\]PQT \[\cong\] \[\bigtriangleup\]PRT

Saxon Placement Test

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