Question 1

Write the number in scientific notation.
-$0.000000423017$

Accepted Answer

A)  $4.23017 \times 10 ^ { 7 }$ 
B)  $4.23017 \times 10 ^ { - 6 }$ 
C)  $4.23017 \times 10 ^ { - 7 }$ 
D)  $4.23017 \times 10 ^ { 6 }$ 
A)  $4.23017 \times 10 ^ { 7 }$ 
B)  $4.23017 \times 10 ^ { - 6 }$ 
C)  $4.23017 \times 10 ^ { - 7 }$ 
D)  $4.23017 \times 10 ^ { 6 }$

Question 2

Find a slope-intercept form equation for the line.
-Through $( 4,3 )$, with slope $- \frac { 8 } { 9 }$

Accepted Answer

A)  $y = \frac { 8 } { 9 } x - \frac { 59 } { 9 }$ 
B)  $y = \frac { 8 } { 9 } x + \frac { 32 } { 9 }$ 
C)  $y = - \frac { 8 } { 9 } x + \frac { 59 } { 9 }$ 
D)  $y = - \frac { 8 } { 9 } x + \frac { 32 } { 9 }$ 
A)  $y = \frac { 8 } { 9 } x - \frac { 59 } { 9 }$ 
B)  $y = \frac { 8 } { 9 } x + \frac { 32 } { 9 }$ 
C)  $y = - \frac { 8 } { 9 } x + \frac { 59 } { 9 }$ 
D)  $y = - \frac { 8 } { 9 } x + \frac { 32 } { 9 }$

Question 3

Determine whether the equation is linear in x.
-$$7 x ^ { 2 } - 7 x - 2 = 9 \left( x ^ { 2 } + 8 \right)$$

Accepted Answer

A) True 
 B)False

Question 4

Solve the equation graphically by finding x-intercepts.
-$$| x - 1 | = 11 x + 5$$

Accepted Answer

A)  $x = - \frac { 1 } { 3 }$ 
B)  $x = - \frac { 4 } { 11 }$ 
C)  $x = \frac { 1 } { 3 }$ 
D)  $x = \frac { 4 } { 11 }$ 
A)  $x = - \frac { 1 } { 3 }$ 
B)  $x = - \frac { 4 } { 11 }$ 
C)  $x = \frac { 1 } { 3 }$ 
D)  $x = \frac { 4 } { 11 }$

Question 5

Find the distance between the points.
-$( 2 , - 4 ) ( 6 , - 2 )$

Accepted Answer

A)  12 
B)  2 
C)  $12 \sqrt { 3 }$ 
D)  $2 \sqrt { 5 }$ 
A)  12 
B)  2 
C)  $12 \sqrt { 3 }$ 
D)  $2 \sqrt { 5 }$

Question 6

Find the decimal form for the rational number. If it repeats, then so indicate with a bar.
-$\frac { 14 } { 9 }$

Accepted Answer

A)  $1.56$ 
B)  $1 . \overline { 5 }$ 
C)  $1.57$ 
D)  $1.5 \overline { 6 }$ 
A)  $1.56$ 
B)  $1 . \overline { 5 }$ 
C)  $1.57$ 
D)  $1.5 \overline { 6 }$

Question 7

Evaluate the expression.
-$6 - | - 6 |$

Accepted Answer

A)  6 
B)  12 
C)  $- 12$ 
D)  0 
A)  6 
B)  12 
C)  $- 12$ 
D)  0

Question 8

Write the statement using absolute value notation.
-The distance between $y$ and $- 1$ is less than or equal to 5 .

Accepted Answer

A)  $| y + 1 | < 5$ 
B)  $| y - 1 | \leq 5$ 
C)  $| y + 1 | \geq 5$ 
D)  $| y + 1 | \leq 5$ 
A)  $| y + 1 | < 5$ 
B)  $| y - 1 | \leq 5$ 
C)  $| y + 1 | \geq 5$ 
D)  $| y + 1 | \leq 5$

Question 9

Use interval notation to describe the set of numbers.
-John is over 16 years of age.

Accepted Answer

A)  $( - \infty , 16 ]$ 
B)  $( 16 , \infty )$ 
C)  $[ 16,55 ]$ 
D)  $[ 16 , \infty )$ 
A)  $( - \infty , 16 ]$ 
B)  $( 16 , \infty )$ 
C)  $[ 16,55 ]$ 
D)  $[ 16 , \infty )$

Question 10

Describe and graph the interval of real numbers.
-$$( - 2,3 )$$

Accepted Answer

The answer of Describe and graph the interval of real...

Question 11

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type.
-$$( - \infty , 2 )$$

Accepted Answer

The answer of Convert to inequality notation. Find the endpoints...

Question 12

Find the slope of the line through the pair of points.
-$( 8,9 )$ and $( 3,6 )$

Accepted Answer

A)  $\frac { 15 } { 11 }$ 
B)  $- \frac { 3 } { 5 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 5 } { 3 }$ 
A)  $\frac { 15 } { 11 }$ 
B)  $- \frac { 3 } { 5 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 5 } { 3 }$

Question 13

Solve the equation graphically by finding x-intercepts.
-$x ^ { 3 } - 6 x ^ { 2 } + 12 x - 12 = 0$

Accepted Answer

A)  $x = 1.59$ 
B)  $x = 2$ 
C)  $x = 3.59$ 
D)  $x = - 0.41$ 
A)  $x = 1.59$ 
B)  $x = 2$ 
C)  $x = 3.59$ 
D)  $x = - 0.41$

Question 14

Solve the problem.
-Let C(x) = 900 + 30x be the cost to manufacture x items. Find the average cost per item to produce 20 items. Round to the nearest dollar.

Accepted Answer

A)  $620 
B)  $1395 
C)  $75 
D)  $613 
A)  $620 
B)  $1395 
C)  $75 
D)  $613

Question 15

Identify the base. Do not evaluate.
-$- 9^{11}$

Accepted Answer

A)  $- 11$ 
B)  $- 9$ 
C)  11 
D)  9 
A)  $- 11$ 
B)  $- 9$ 
C)  11 
D)  9

Question 16

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type.
-$$[ - 8 , \infty )$$

Accepted Answer

The answer of Convert to inequality notation. Find the endpoints...

Question 17

Find the distance between the points.
-$$( - 2 , - 1 ) ( 2 , - 7 )$$

Accepted Answer

A)  20 
B)  $20 \sqrt { 5 }$ 
C)  10 
D)  $2 \sqrt { 13 }$ 
A)  20 
B)  $20 \sqrt { 5 }$ 
C)  10 
D)  $2 \sqrt { 13 }$

Question 18

Solve the inequality.
-$$1 > \frac { 4 z + 1 } { 7 } > - 1$$

Accepted Answer

A)  $ - \frac { 3 } { 2 } < z < 2$ 
B)  $\frac { 3 } { 2 } < z < 2$ 
C)  $ - 2 < z < \frac { 3 } { 2 }$ 
D)  $- 2 < z < - \frac { 3 } { 2 }$ 
A)  $ - \frac { 3 } { 2 } < z < 2$ 
B)  $\frac { 3 } { 2 } < z < 2$ 
C)  $ - 2 < z < \frac { 3 } { 2 }$ 
D)  $- 2 < z < - \frac { 3 } { 2 }$

Question 19

Solve the inequality.
-$$- 6 < 4 \mathrm { q } - 1 < 0$$

Accepted Answer

A)  $- \frac { 5 } { 4 } < q < \frac { 7 } { 4 }$ 
B)  $- \frac { 7 } { 4 } < q < \frac { 1 } { 4 }$ 
C)  $- \frac { 5 } { 4 } < q < \frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 4 } < q < \frac { 1 } { 4 }$ 
A)  $- \frac { 5 } { 4 } < q < \frac { 7 } { 4 }$ 
B)  $- \frac { 7 } { 4 } < q < \frac { 1 } { 4 }$ 
C)  $- \frac { 5 } { 4 } < q < \frac { 1 } { 4 }$ 
D)  $- \frac { 1 } { 4 } < q < \frac { 1 } { 4 }$

Question 20

Find the product of the complex number and its conjugate.
-$- 2 + \sqrt { 7 } i$

Accepted Answer

A)  $- 3$ 
B)  $- 45$ 
C)  53 
D)  11 
A)  $- 3$ 
B)  $- 45$ 
C)  53 
D)  11

Write the number in scientific notation. - $0.000000423017$

Find a slope-intercept form equation for the line. -Through $( 4,3 )$ , with slope $- \frac { 8 } { 9 }$

Determine whether the equation is linear in x. - $7 x ^ { 2 } - 7 x - 2 = 9 \left( x ^ { 2 } + 8 \right)$

Solve the equation graphically by finding x-intercepts. - $| x - 1 | = 11 x + 5$

Find the distance between the points. - $( 2 , - 4 ) ( 6 , - 2 )$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 14 } { 9 }$

Evaluate the expression. - $6 - | - 6 |$

Write the statement using absolute value notation. -The distance between $y$ and $- 1$ is less than or equal to 5 .

Use interval notation to describe the set of numbers. -John is over 16 years of age.

Describe and graph the interval of real numbers. - $( - 2,3 )$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $( - \infty , 2 )$

Find the slope of the line through the pair of points. - $( 8,9 )$ and $( 3,6 )$

Solve the equation graphically by finding x-intercepts. - $x ^ { 3 } - 6 x ^ { 2 } + 12 x - 12 = 0$

Solve the problem. -Let C(x) = 900 + 30x be the cost to manufacture x items. Find the average cost per item to produce 20 items. Round to the nearest dollar.

Identify the base. Do not evaluate. - $- 9^{11}$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $[ - 8 , \infty )$

Find the distance between the points. - $( - 2 , - 1 ) ( 2 , - 7 )$

Solve the inequality. - $1 > \frac { 4 z + 1 } { 7 } > - 1$

Solve the inequality. - $- 6 < 4 \mathrm { q } - 1 < 0$

Find the product of the complex number and its conjugate. - $- 2 + \sqrt { 7 } i$

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

Statistics and Probability

An Introduction to Calculus: Limits, Derivatives, and Integrals

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Exam 12: Prerequisites

Write the number in scientific notation. - 0.0000004230170.0000004230170.000000423017

Find a slope-intercept form equation for the line. -Through (4,3)( 4,3 )(4,3) , with slope −89- \frac { 8 } { 9 }−98​

Determine whether the equation is linear in x. - 7x2−7x−2=9(x2+8)7 x ^ { 2 } - 7 x - 2 = 9 \left( x ^ { 2 } + 8 \right)7x2−7x−2=9(x2+8)

Solve the equation graphically by finding x-intercepts. - ∣x−1∣=11x+5| x - 1 | = 11 x + 5∣x−1∣=11x+5

Find the distance between the points. - (2,−4)(6,−2)( 2 , - 4 ) ( 6 , - 2 )(2,−4)(6,−2)

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - 149\frac { 14 } { 9 }914​

Evaluate the expression. - 6−∣−6∣6 - | - 6 |6−∣−6∣

Write the statement using absolute value notation. -The distance between yyy and −1- 1−1 is less than or equal to 5 .