Question 1

Solve the equation $x^{2}+4=9 x$
by completing the square. Show all steps.

Accepted Answer

$x=\frac{9}{2}-\frac{1}{2} \sqrt{65}, x=\frac{9}{2}+\frac{1}{2} \sqrt{65}$

Question 2

In standard form, write the equation of a circle with
center (2, -6) and radius 9.

Accepted Answer

$(x-2)^{2}+(y+6)^{2}=81$

Question 3

A projectile is launched straight up from the ground with an initial velocity of 352 $\frac{\mathrm{ft}}{\mathrm{sec}}$ At what time(s) will the projectile be at least 1,536 feet above the ground?

Accepted Answer

6 seconds through 16 seconds

Question 4

Simplify the expression $\frac{u^{2} v^{-3}}{\left(u^{3} v\right)^{-1}}$ Assume that the variables are not zero.

Accepted Answer

A)  $\frac{u^{5}}{v^{2}}$ 
B)  $\frac{1}{u v^{4}}$ 
C)  $\frac{1}{u v^{2}}$ 
D)  $u^{5} v^{4}$ 
E)  $u^{5} v^{2}$ 
A)  $\frac{u^{5}}{v^{2}}$ 
B)  $\frac{1}{u v^{4}}$ 
C)  $\frac{1}{u v^{2}}$ 
D)  $u^{5} v^{4}$ 
E)  $u^{5} v^{2}$

Question 5

$\text { In the } x y \text {-plane, graph } y=\frac{1}{2} x-2$

Accepted Answer

The answer of \(\text { In the } x y...

Question 6

Solve graphically:
$-3 x^{3}-2 x^{2}+4 x-1=0$

Accepted Answer

The answer of Solve graphically:
$-3 x^{3}-2 x^{2}+4 x-1=0$...

Question 7

Solve 3x-4>-2 algebraically.

Accepted Answer

The answer of Solve 3x-4>-2 algebraically....

Question 8

Complete the table of solutions for the equation $ y=2 x-5 $ 
$\begin{array}{|r|r|}
\hline x & y \
\hline-2 & \
\hline 3 & \
\hline & -7 \
\hline & 3 \
\hline
\end{array}$

Accepted Answer

None

Question 9

Solve the inequality $x^{2}+3 x-4 \leq 0$
Express your answer in interval notation.

Accepted Answer

The answer of Solve the inequality $x^{2}+3 x-4 \leq 0$
Express...

Question 10

Solve: $x^{3}+2 x^{2}+x \geq 0$

Accepted Answer

The answer of Solve: $x^{3}+2 x^{2}+x \geq 0$...

Question 11

For the function $f(x)=x^{2}+5 x-6$ choose the viewing window that shows two intersections with the  x -axis and all the points of the graph in between.

Accepted Answer

A)   [-10,10]  by  [-10,10] 
B)   [-2,7]  by  [-20,20] 
C)   [-5,5]  by  [-15,15] 
D)   [-7,2]  by  [-20,20] 
E)   [-20,20]  by  [-10,10] 
A)   [-10,10]  by  [-10,10] 
B)   [-2,7]  by  [-20,20] 
C)   [-5,5]  by  [-15,15] 
D)   [-7,2]  by  [-20,20] 
E)   [-20,20]  by  [-10,10]

Question 12

Write the equation of a line through the point  (-1,2)  and perpendicular to the line with equation  2 x-3 y-5=0 . Write the equation in the general form.

Accepted Answer

A)   2 x+3 y+8=0 
B)   3 x+2 y+2=0 
C)   2 x-3 y+8=0 
D)   3 x+2 y-1=0 
E)   2 x-3 y-5=0 
A)   2 x+3 y+8=0 
B)   3 x+2 y+2=0 
C)   2 x-3 y+8=0 
D)   3 x+2 y-1=0 
E)   2 x-3 y-5=0

Question 13

Solve 3(x+2)=5(2x-3)-7.

Accepted Answer

The answer of Solve 3(x+2)=5(2x-3)-7....

Question 14

In standard form, write the equation of a circle with
center (-3, 4) and radius 7.

Accepted Answer

The answer of In standard form, write the equation of...

Question 15

Write the complex number $\frac{(3-2 i)^{2}(3+2 i)}{(5-i)}$
standard form

Accepted Answer

The answer of Write the complex number $\frac{(3-2 i)^{2}(3+2 i)}{(5-i)}$
standard...

Question 16

Find the equation of a line that has x-intercept 3 and
y-intercept -5. Write the equation in slope-intercept
form.

Accepted Answer

The answer of Find the equation of a line that...

Question 17

For the function $f(x)=x^{2}+5 x+6$ choose the viewing window that shows two intersections with the  x -axis and all the points of the graph in between.

Accepted Answer

A)   [-10,10]  by  [-10,10] 
B)   [-2,7]  by  [-20,20] 
C)   [-5,5]  by  [-5,5] 
D)   [-7,2]  by  [0,20] 
E)   [-20,20]  by  [0,10] 
A)   [-10,10]  by  [-10,10] 
B)   [-2,7]  by  [-20,20] 
C)   [-5,5]  by  [-5,5] 
D)   [-7,2]  by  [0,20] 
E)   [-20,20]  by  [0,10]

Question 18

Find the equation of a line that contains (1, 3) and has
slope -4. Write the equation in point-slope form.

Accepted Answer

The answer of Find the equation of a line that...

Question 19

Name the algebraic property or properties illustrated by the equation.
2 x+3 y=3 y+2 x

Accepted Answer

Commutativ

Question 20

Draw the graph of $ y=2 x^{2}-x-3 $. On the graph show the solutions to the quadratic equation $ 2 x^{2}-x-3=0 $ Directions: Show all work where appropriate. A graphing calculator may be necessary to answer
some questions.

Accepted Answer

The answer of Draw the graph of \( y=2 x^{2}-x-3...

Solve the equation $x^{2}+4=9 x$ by completing the square. Show all steps.

In standard form, write the equation of a circle with center (2, -6) and radius 9.

A projectile is launched straight up from the ground with an initial velocity of 352 $\frac{\mathrm{ft}}{\mathrm{sec}}$ At what time(s) will the projectile be at least 1,536 feet above the ground?

Simplify the expression $\frac{u^{2} v^{-3}}{\left(u^{3} v\right)^{-1}}$ Assume that the variables are not zero.

$\text { In the } x y \text {-plane, graph } y=\frac{1}{2} x-2$ $\text { In the } x y \text {-plane, graph } y=\frac{1}{2} x-2$

Solve graphically: $-3 x^{3}-2 x^{2}+4 x-1=0$

Solve 3x-4>-2 algebraically.

Complete the table of solutions for the equation $y=2 x-5$ x y -2 3 -7 3

Solve the inequality $x^{2}+3 x-4 \leq 0$ Express your answer in interval notation.

Solve: $x^{3}+2 x^{2}+x \geq 0$

For the function $f(x)=x^{2}+5 x-6$ choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

Write the equation of a line through the point (-1,2) and perpendicular to the line with equation 2 x-3 y-5=0 . Write the equation in the general form.

Solve 3(x+2)=5(2x-3)-7.

In standard form, write the equation of a circle with center (-3, 4) and radius 7.

Write the complex number $\frac{(3-2 i)^{2}(3+2 i)}{(5-i)}$ standard form

Find the equation of a line that has x-intercept 3 and y-intercept -5. Write the equation in slope-intercept form.

For the function $f(x)=x^{2}+5 x+6$ choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

Find the equation of a line that contains (1, 3) and has slope -4. Write the equation in point-slope form.

Name the algebraic property or properties illustrated by the equation. 2 x+3 y=3 y+2 x

Draw the graph of $y=2 x^{2}-x-3$ . On the graph show the solutions to the quadratic equation $2 x^{2}-x-3=0$ Directions: Show all work where appropriate. A graphing calculator may be necessary to answer some questions.

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

An Introduction to Calculus: Limits, Derivatives, and Integrals

Mathematical Problem Set

Filters

Exam 11: P Prerequisites

Solve the equation x2+4=9xx^{2}+4=9 xx2+4=9x by completing the square. Show all steps.

In standard form, write the equation of a circle with center (2, -6) and radius 9.

A projectile is launched straight up from the ground with an initial velocity of 352 ftsec\frac{\mathrm{ft}}{\mathrm{sec}}secft​ At what time(s) will the projectile be at least 1,536 feet above the ground?

Simplify the expression u2v−3(u3v)−1\frac{u^{2} v^{-3}}{\left(u^{3} v\right)^{-1}}(u3v)−1u2v−3​ Assume that the variables are not zero.

In the xy-plane, graph y=12x−2\text { In the } x y \text {-plane, graph } y=\frac{1}{2} x-2 In the xy-plane, graph y=21​x−2

Solve graphically: −3x3−2x2+4x−1=0-3 x^{3}-2 x^{2}+4 x-1=0−3x3−2x2+4x−1=0

Solve 3x-4>-2 algebraically.

Complete the table of solutions for the equation y=2x−5 y=2 x-5 y=2x−5 x y -2 3 -7 3

Solve the inequality x2+3x−4≤0x^{2}+3 x-4 \leq 0x2+3x−4≤0 Express your answer in interval notation.

Solve: x3+2x2+x≥0x^{3}+2 x^{2}+x \geq 0x3+2x2+x≥0

For the function f(x)=x2+5x−6f(x)=x^{2}+5 x-6f(x)=x2+5x−6 choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

Write the equation of a line through the point (-1,2) and perpendicular to the line with equation 2 x-3 y-5=0 . Write the equation in the general form.

Solve 3(x+2)=5(2x-3)-7.

In standard form, write the equation of a circle with center (-3, 4) and radius 7.

Write the complex number (3−2i)2(3+2i)(5−i)\frac{(3-2 i)^{2}(3+2 i)}{(5-i)}(5−i)(3−2i)2(3+2i)​ standard form

Find the equation of a line that has x-intercept 3 and y-intercept -5. Write the equation in slope-intercept form.

For the function f(x)=x2+5x+6f(x)=x^{2}+5 x+6f(x)=x2+5x+6 choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

Find the equation of a line that contains (1, 3) and has slope -4. Write the equation in point-slope form.

Name the algebraic property or properties illustrated by the equation. 2 x+3 y=3 y+2 x

Draw the graph of y=2x2−x−3 y=2 x^{2}-x-3 y=2x2−x−3 . On the graph show the solutions to the quadratic equation 2x2−x−3=0 2 x^{2}-x-3=0 2x2−x−3=0 Directions: Show all work where appropriate. A graphing calculator may be necessary to answer some questions.

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

An Introduction to Calculus: Limits, Derivatives, and Integrals

Mathematical Problem Set

Filters

Solve the equation $x^{2}+4=9 x$ by completing the square. Show all steps.

A projectile is launched straight up from the ground with an initial velocity of 352 $\frac{\mathrm{ft}}{\mathrm{sec}}$ At what time(s) will the projectile be at least 1,536 feet above the ground?

Simplify the expression $\frac{u^{2} v^{-3}}{\left(u^{3} v\right)^{-1}}$ Assume that the variables are not zero.

$\text { In the } x y \text {-plane, graph } y=\frac{1}{2} x-2$ $\text { In the } x y \text {-plane, graph } y=\frac{1}{2} x-2$

Solve graphically: $-3 x^{3}-2 x^{2}+4 x-1=0$

Complete the table of solutions for the equation $y=2 x-5$ x y -2 3 -7 3

Solve the inequality $x^{2}+3 x-4 \leq 0$ Express your answer in interval notation.

Solve: $x^{3}+2 x^{2}+x \geq 0$

For the function $f(x)=x^{2}+5 x-6$ choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

Write the complex number $\frac{(3-2 i)^{2}(3+2 i)}{(5-i)}$ standard form

For the function $f(x)=x^{2}+5 x+6$ choose the viewing window that shows two intersections with the x -axis and all the points of the graph in between.

Draw the graph of $y=2 x^{2}-x-3$ . On the graph show the solutions to the quadratic equation $2 x^{2}-x-3=0$ Directions: Show all work where appropriate. A graphing calculator may be necessary to answer some questions.