Question 1

Write the number in decimal form.
-$2.67 \times 10 ^ { - 4 }$

Accepted Answer

A)  $- 267,000$ 
B)  $0.000267$ 
C)  $0.0000267$ 
D)  $0.00267$ 
A)  $- 267,000$ 
B)  $0.000267$ 
C)  $0.0000267$ 
D)  $0.00267$

Question 2

Solve the inequality graphically.
-$x^{2}-3 x-18 \leq 0$

Accepted Answer

A)  $( - \infty , - 3 ] \cup [ 6 , \infty )$ 
B)  $( - \infty , - 3 ]$ 
C)  $[ 6 , \infty )$ 
D)  $[ - 3,6 ]$ 
A)  $( - \infty , - 3 ] \cup [ 6 , \infty )$ 
B)  $( - \infty , - 3 ]$ 
C)  $[ 6 , \infty )$ 
D)  $[ - 3,6 ]$

Question 3

Find a general form equation for the line through the pair of points.
-$( 2,5 )$ and $( 6 , - 4 )$

Accepted Answer

A)  $9 x + 4 y + 38 = 0$ 
B)  $9 x - 4 y - 38 = 0$ 
C)  $9 x + 4 y - 38 = 0$ 
D)  $- 9 x - 4 y - 38 = 0$ 
A)  $9 x + 4 y + 38 = 0$ 
B)  $9 x - 4 y - 38 = 0$ 
C)  $9 x + 4 y - 38 = 0$ 
D)  $- 9 x - 4 y - 38 = 0$

Question 4

Use an inequality to describe the interval of real numbers.
-

Accepted Answer

A)  $x \geq 5$ 
B)  $x  5$ 
A)  $x \geq 5$ 
B)  $x  5$

Question 5

Write the expression in the form bi, where b is a real number.
-$\sqrt { - 148 }$

Accepted Answer

A)  $2 \mathrm { i } \sqrt { 37 }$ 
B)  $- 2 \mathrm { i } \sqrt { 37 }$ 
C)  $- 2 \sqrt { 37 }$ 
D)  $2 \sqrt { 37 }$ 
A)  $2 \mathrm { i } \sqrt { 37 }$ 
B)  $- 2 \mathrm { i } \sqrt { 37 }$ 
C)  $- 2 \sqrt { 37 }$ 
D)  $2 \sqrt { 37 }$

Question 6

Determine whether the equation is linear in x.
-$$6 x + 15 = 2 ( x - 2 ) - x$$

Accepted Answer

A) True 
 B)False

Question 7

Write the number in scientific notation.
-$718.48$

Accepted Answer

A)  $7.1848 \times 10 ^ { - 2 }$ 
B)  $7.1848 \times 10 ^ { 3 }$ 
C)  $7.1848 \times 10 ^ { 2 }$ 
D)  $7.1848 \times 10 ^ { - 3 }$ 
A)  $7.1848 \times 10 ^ { - 2 }$ 
B)  $7.1848 \times 10 ^ { 3 }$ 
C)  $7.1848 \times 10 ^ { 2 }$ 
D)  $7.1848 \times 10 ^ { - 3 }$

Question 8

Find a point-slope form equation for the line through the point with the given slope.
-$$( - 4 , - 3 ) , \mathrm { m } = - \frac { 1 } { 11 }$$

Accepted Answer

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

Question 9

-Which month in 1990 had the highest sales?

Accepted Answer

A)  Month 5 
B)  Month 12 
C)  Month 3 
D)  Month 6 
A)  Month 5 
B)  Month 12 
C)  Month 3 
D)  Month 6

Question 10

Write the sum or difference in the standard form a + bi.
-8i + (-6 - i)

Accepted Answer

A)  6 - 7i 
B)  6 - 9i 
C)  -6 + 7i 
D)  -6 + 9i 
A)  6 - 7i 
B)  6 - 9i 
C)  -6 + 7i 
D)  -6 + 9i

Question 11

Find the center and radius of the circle.
-$$( x - 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$$

Accepted Answer

A)  $( - 6,1 ) , r = 4$ 
B)  $( 6 , - 1 ) , r = 2$ 
C)  $( - 1,6 ) , \mathrm { r } = 2$ 
D)  $( 1 , - 6 ) , r = 4$ 
A)  $( - 6,1 ) , r = 4$ 
B)  $( 6 , - 1 ) , r = 2$ 
C)  $( - 1,6 ) , \mathrm { r } = 2$ 
D)  $( 1 , - 6 ) , r = 4$

Question 12

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type.
-$$( - 3,3 ]$$

Accepted Answer

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

Question 13

Find a point-slope form equation for the line through the point with the given slope.
-(3, -7), m = 3

Accepted Answer

A)  y + 7 = 3(x - 3) 
B)  y - 7 = 3(x - 3) 
C)  y + 7 = -3(x - 3) 
D)  y + 7 = 3(x + 3) 
A)  y + 7 = 3(x - 3) 
B)  y - 7 = 3(x - 3) 
C)  y + 7 = -3(x - 3) 
D)  y + 7 = 3(x + 3)

Question 14

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph.
-$$- 4 x - 3 y = 9$$

Accepted Answer

A)  $x = \frac { 3 } { 4 } , y = - \frac { 23 } { 3 }$ 
B)  $x = \frac { 15 } { 4 } , y = \frac { 23 } { 3 }$ 
C)  $x = \frac { 15 } { 4 } , y = - \frac { 41 } { 3 }$ 
D)  $x = - \frac { 15 } { 4 } , y = - \frac { 41 } { 3 }$ 
A)  $x = \frac { 3 } { 4 } , y = - \frac { 23 } { 3 }$ 
B)  $x = \frac { 15 } { 4 } , y = \frac { 23 } { 3 }$ 
C)  $x = \frac { 15 } { 4 } , y = - \frac { 41 } { 3 }$ 
D)  $x = - \frac { 15 } { 4 } , y = - \frac { 41 } { 3 }$

Question 15

Find the midpoint of the line segment with the given endpoints.
-$( - 6 , - 3 )$ and $( - 8,4 )$

Accepted Answer

A)  $\left( - 7 , \frac { 1 } { 2 } \right)$ 
B)  $( - 14,1 )$ 
C)  $( 2 , - 7 )$ 
D)  $\left( 1 , - \frac { 7 } { 2 } \right)$ 
A)  $\left( - 7 , \frac { 1 } { 2 } \right)$ 
B)  $( - 14,1 )$ 
C)  $( 2 , - 7 )$ 
D)  $\left( 1 , - \frac { 7 } { 2 } \right)$

Question 16

Write the expression in standard form.
-$$\frac { 7 } { 4 - 13 i }$$

Accepted Answer

A)  $- \frac { 28 } { 185 } - \frac { 91 } { 185 } \mathrm { i }$ 
B)  $\frac { 28 } { 185 } + \frac { 91 } { 185 } \mathrm { i }$ 
C)  $- \frac { 28 } { 185 } + \frac { 91 } { 185 } \mathrm { i }$ 
D)  $\frac { 28 } { 185 } - \frac { 91 } { 185 } \mathrm { i }$ 
A)  $- \frac { 28 } { 185 } - \frac { 91 } { 185 } \mathrm { i }$ 
B)  $\frac { 28 } { 185 } + \frac { 91 } { 185 } \mathrm { i }$ 
C)  $- \frac { 28 } { 185 } + \frac { 91 } { 185 } \mathrm { i }$ 
D)  $\frac { 28 } { 185 } - \frac { 91 } { 185 } \mathrm { i }$

Question 17

Solve the problem.
-A rock falls from a tower that is 102.9 m high. As it is falling, its height is given by the formula h = 102.9 - 4.9t2. How many seconds will it take for the rock to hit the ground (h=0)?

Accepted Answer

A)  9.9 s 
B)  2200 s 
C)  10.1 s 
D)  4.6 s 
A)  9.9 s 
B)  2200 s 
C)  10.1 s 
D)  4.6 s

Question 18

Find the real numbers x and y that make the equation true.
-$$( 7 + 2 i ) - 4 = x - ( - 7 + y i )$$

Accepted Answer

A)  $x = - 4 , y = - 2$ 
B)  $x = 4 , y = 2$ 
C)  $x = 4 , y = - 2$ 
D)  $x = 18 , y = - 2$ 
A)  $x = - 4 , y = - 2$ 
B)  $x = 4 , y = 2$ 
C)  $x = 4 , y = - 2$ 
D)  $x = 18 , y = - 2$

Question 19

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type.
-$$[ - 1 , \infty )$$

Accepted Answer

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

Question 20

Write the sum or difference in the standard form a + bi.
-$( 2 - i ) + ( 10 - \sqrt { - 10 } )$

Accepted Answer

A)  $12 - ( 1 - \sqrt { 10 } ) \mathrm { i }$ 
B)  $12 + ( 1 + \sqrt { 10 } ) \mathrm { i }$ 
C)  $12 - ( 1 + \sqrt { 10 } ) \mathrm { i }$ 
D)  $12 - ( 1 + \sqrt { - 10 } )$ i 
A)  $12 - ( 1 - \sqrt { 10 } ) \mathrm { i }$ 
B)  $12 + ( 1 + \sqrt { 10 } ) \mathrm { i }$ 
C)  $12 - ( 1 + \sqrt { 10 } ) \mathrm { i }$ 
D)  $12 - ( 1 + \sqrt { - 10 } )$ i

Write the number in decimal form. - $2.67 \times 10 ^ { - 4 }$

Solve the inequality graphically. - $x^{2}-3 x-18 \leq 0$ $Solve the inequality graphically. - x^{2}-3 x-18 \leq 0$

Find a general form equation for the line through the pair of points. - $( 2,5 )$ and $( 6 , - 4 )$

Use an inequality to describe the interval of real numbers. -

Write the expression in the form bi, where b is a real number. - $\sqrt { - 148 }$

Determine whether the equation is linear in x. - $6 x + 15 = 2 ( x - 2 ) - x$

Write the number in scientific notation. - $718.48$

Find a point-slope form equation for the line through the point with the given slope. - $( - 4 , - 3 ) , \mathrm { m } = - \frac { 1 } { 11 }$

-Which month in 1990 had the highest sales?

Write the sum or difference in the standard form a + bi. -8i + (-6 - i)

Find the center and radius of the circle. - $( x - 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $( - 3,3 ]$

Find a point-slope form equation for the line through the point with the given slope. -(3, -7), m = 3

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - $- 4 x - 3 y = 9$

Find the midpoint of the line segment with the given endpoints. - $( - 6 , - 3 )$ and $( - 8,4 )$

Write the expression in standard form. - $\frac { 7 } { 4 - 13 i }$

Solve the problem. -A rock falls from a tower that is 102.9 m high. As it is falling, its height is given by the formula h = 102.9 - 4.9t2. How many seconds will it take for the rock to hit the ground (h=0)?

Find the real numbers x and y that make the equation true. - $( 7 + 2 i ) - 4 = x - ( - 7 + y i )$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $[ - 1 , \infty )$

Write the sum or difference in the standard form a + bi. - $( 2 - i ) + ( 10 - \sqrt { - 10 } )$

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

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Systems and Matrices

Analytic Geometry in Two and Three Dimensions

Discrete Mathematics

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An Introduction to Calculus: Limits, Derivatives, and Integrals

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Exam 12: Prerequisites

Write the number in decimal form. - 2.67×10−42.67 \times 10 ^ { - 4 }2.67×10−4

Solve the inequality graphically. - x2−3x−18≤0x^{2}-3 x-18 \leq 0x2−3x−18≤0

Find a general form equation for the line through the pair of points. - (2,5)( 2,5 )(2,5) and (6,−4)( 6 , - 4 )(6,−4)

Use an inequality to describe the interval of real numbers. -

Write the expression in the form bi, where b is a real number. - −148\sqrt { - 148 }−148​

Determine whether the equation is linear in x. - 6x+15=2(x−2)−x6 x + 15 = 2 ( x - 2 ) - x6x+15=2(x−2)−x

Write the number in scientific notation. - 718.48718.48718.48

Find a point-slope form equation for the line through the point with the given slope. - (−4,−3),m=−111( - 4 , - 3 ) , \mathrm { m } = - \frac { 1 } { 11 }(−4,−3),m=−111​

-Which month in 1990 had the highest sales?

Write the sum or difference in the standard form a + bi. -8i + (-6 - i)

Find the center and radius of the circle. - (x−6)2+(y+1)2=4( x - 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4(x−6)2+(y+1)2=4

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - (−3,3]( - 3,3 ](−3,3]

Find a point-slope form equation for the line through the point with the given slope. -(3, -7), m = 3

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - −4x−3y=9- 4 x - 3 y = 9−4x−3y=9

Find the midpoint of the line segment with the given endpoints. - (−6,−3)( - 6 , - 3 )(−6,−3) and (−8,4)( - 8,4 )(−8,4)

Write the expression in standard form. - 74−13i\frac { 7 } { 4 - 13 i }4−13i7​

Solve the problem. -A rock falls from a tower that is 102.9 m high. As it is falling, its height is given by the formula h = 102.9 - 4.9t2. How many seconds will it take for the rock to hit the ground (h=0)?

Find the real numbers x and y that make the equation true. - (7+2i)−4=x−(−7+yi)( 7 + 2 i ) - 4 = x - ( - 7 + y i )(7+2i)−4=x−(−7+yi)

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - [−1,∞)[ - 1 , \infty )[−1,∞)

Write the sum or difference in the standard form a + bi. - (2−i)+(10−−10)( 2 - i ) + ( 10 - \sqrt { - 10 } )(2−i)+(10−−10​)

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

Filters

Write the number in decimal form. - $2.67 \times 10 ^ { - 4 }$

Solve the inequality graphically. - $x^{2}-3 x-18 \leq 0$ $Solve the inequality graphically. - x^{2}-3 x-18 \leq 0$

Find a general form equation for the line through the pair of points. - $( 2,5 )$ and $( 6 , - 4 )$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 148 }$

Determine whether the equation is linear in x. - $6 x + 15 = 2 ( x - 2 ) - x$

Write the number in scientific notation. - $718.48$

Find a point-slope form equation for the line through the point with the given slope. - $( - 4 , - 3 ) , \mathrm { m } = - \frac { 1 } { 11 }$

Find the center and radius of the circle. - $( x - 6 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $( - 3,3 ]$

Find the value of x and the value of y for which (x, 2) and (8, y) are points on the graph. - $- 4 x - 3 y = 9$

Find the midpoint of the line segment with the given endpoints. - $( - 6 , - 3 )$ and $( - 8,4 )$

Write the expression in standard form. - $\frac { 7 } { 4 - 13 i }$

Find the real numbers x and y that make the equation true. - $( 7 + 2 i ) - 4 = x - ( - 7 + y i )$

Convert to inequality notation. Find the endpoints and state whether the interval is bounded or unbounded, and its type. - $[ - 1 , \infty )$

Write the sum or difference in the standard form a + bi. - $( 2 - i ) + ( 10 - \sqrt { - 10 } )$