Question 1

Simplify the expression. Assume that the variables in the denominator are nonzero.
-$\frac { x ^ { 3 } y ^ { 9 } } { x ^ { 7 } y ^ { 4 } }$

Accepted Answer

A)  $\frac { x ^ { 5 } } { y ^ { 4 } }$ 
B)  $\frac { x ^ { 4 } } { y ^ { 4 } }$ 
C)  $\frac { y ^ { 5 } } { x ^ { 4 } }$ 
D)  $\frac { x ^ { 4 } } { y ^ { 5 } }$ 
A)  $\frac { x ^ { 5 } } { y ^ { 4 } }$ 
B)  $\frac { x ^ { 4 } } { y ^ { 4 } }$ 
C)  $\frac { y ^ { 5 } } { x ^ { 4 } }$ 
D)  $\frac { x ^ { 4 } } { y ^ { 5 } }$

Question 2

Find the distance between the points.
-$( 5 , - 5 ) ( - 5 , - 7 )$

Accepted Answer

A)  8 
B)  96 
C)  $2 \sqrt { 26 }$ 
D)  $96 \sqrt { 6 }$ 
A)  8 
B)  96 
C)  $2 \sqrt { 26 }$ 
D)  $96 \sqrt { 6 }$

Question 3

Solve the equation by factoring.
-$$2 x ^ { 2 } - 9 x - 5 = 0$$

Accepted Answer

A)  $x = - 2$ or $x = 5$ 
B)  $x = \frac { 11 } { 9 }$ or $x = - 2$ 
C)  $x = - \frac { 1 } { 2 }$ or $x = 2$ 
D)  $x = - \frac { 1 } { 2 }$ or $x = 5$ 
A)  $x = - 2$ or $x = 5$ 
B)  $x = \frac { 11 } { 9 }$ or $x = - 2$ 
C)  $x = - \frac { 1 } { 2 }$ or $x = 2$ 
D)  $x = - \frac { 1 } { 2 }$ or $x = 5$

Question 4

-What was the total increase in sales from 1989 to 1990?

Accepted Answer

A)  $182,000 
B)  $1,342,000 
C)  $12,000 
D)  $22,000 
A)  $182,000 
B)  $1,342,000 
C)  $12,000 
D)  $22,000

Question 5

Solve the equation.
-$$10 y = 3 y + 7 + 6 y$$

Accepted Answer

A)  $y = 70$ 
B)  $y = 7$ 
C)  $y = - 7$ 
D)  $y = - 70$ 
A)  $y = 70$ 
B)  $y = 7$ 
C)  $y = - 7$ 
D)  $y = - 70$

Question 6

Solve the inequality and draw a number line graph of the solution.
-$$2 ( 4 - 2 x ) + 2 ( 2 x - 2 ) \geq 2 x$$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 7

Use interval notation to describe the interval of real numbers.
-$- 3 \leq x < 1$

Accepted Answer

A)  $[ - 3,1 ]$ 
B)  $( - 3,1 )$ 
C)  $( - 3,1 ]$ 
D)  $[ - 3,1 )$ 
A)  $[ - 3,1 ]$ 
B)  $( - 3,1 )$ 
C)  $( - 3,1 ]$ 
D)  $[ - 3,1 )$

Question 8

Find the decimal form for the rational number. If it repeats, then so indicate with a bar.
-$\frac { 19 } { 4 }$

Accepted Answer

A)  $4 . \overline { 75 }$ 
B)  $4.7 \overline { 5 }$ 
C)  $4.75$ 
D)  $4.76$ 
A)  $4 . \overline { 75 }$ 
B)  $4.7 \overline { 5 }$ 
C)  $4.75$ 
D)  $4.76$

Question 9

Write the expression in the form bi, where b is a real number.
-$\sqrt { - 7 }$

Accepted Answer

A)  $- \sqrt { 7 }$ 
B)  $7 \sqrt { i }$ 
C)  $\sqrt { 7 } i$ 
D)  $\frac { 7 } { 2 } \mathrm { i }$ 
A)  $- \sqrt { 7 }$ 
B)  $7 \sqrt { i }$ 
C)  $\sqrt { 7 } i$ 
D)  $\frac { 7 } { 2 } \mathrm { i }$

Question 10

Solve the inequality.
-$$\frac { 3 y - 2 } { 3 } + \frac { 4 y + 1 } { 5 } \leq y + 1$$

Accepted Answer

A)  $y \geq - \frac { 1 } { 6 }$ 
B)  $y \geq \frac { 11 } { 18 }$ 
C)  $\mathrm { y } \leq \frac { 22 } { 3 }$ 
D)  $y \leq \frac { 11 } { 6 }$ 
A)  $y \geq - \frac { 1 } { 6 }$ 
B)  $y \geq \frac { 11 } { 18 }$ 
C)  $\mathrm { y } \leq \frac { 22 } { 3 }$ 
D)  $y \leq \frac { 11 } { 6 }$

Question 11

Solve the inequality. Use algebra to solve the corresponding equation.
-$$x ^ { 2 } + 3 x \leq 4$$

Accepted Answer

A)  $( - \infty , - 1 ] \cup [ 4 , \infty )$ 
B)  $[ - 1,4 ]$ 
C)  $[ - 4,1 ]$ 
D)  $( - 1,4 )$ 
A)  $( - \infty , - 1 ] \cup [ 4 , \infty )$ 
B)  $[ - 1,4 ]$ 
C)  $[ - 4,1 ]$ 
D)  $( - 1,4 )$

Question 12

Solve the equation by extracting the square roots.
-$$( 2 x + 4 ) ^ { 2 } = 121$$

Accepted Answer

A)  $x = - \frac { 15 } { 2 }$ or $x = \frac { 13 } { 2 }$ 
B)  $x = - 15$ or $x = 7$ 
C)  $x = - \frac { 15 } { 2 }$ or $x = \frac { 7 } { 2 }$ 
D)  $x = \frac { 7 } { 2 }$ or $x = \frac { 13 } { 2 }$ 
A)  $x = - \frac { 15 } { 2 }$ or $x = \frac { 13 } { 2 }$ 
B)  $x = - 15$ or $x = 7$ 
C)  $x = - \frac { 15 } { 2 }$ or $x = \frac { 7 } { 2 }$ 
D)  $x = \frac { 7 } { 2 }$ or $x = \frac { 13 } { 2 }$

Question 13

Write the product in standard form.
-$$( - 7 - 8 \mathrm { i } ) ( - 7 + 8 \mathrm { i } )$$

Accepted Answer

A)  113 
B)  $49 + 64 \mathrm { i } ^ { 2 }$ 
C)  $- 15$ 
D)  $49 - 64 \mathrm { i } ^ { 2 }$ 
A)  113 
B)  $49 + 64 \mathrm { i } ^ { 2 }$ 
C)  $- 15$ 
D)  $49 - 64 \mathrm { i } ^ { 2 }$

Question 14

Determine the equation of the line described. Put answer in the slope-intercept form, if possible.
-Through $( - 7,11 )$ parallel to $4 x - 3 y = - 49$

Accepted Answer

A)  $y = \frac { 4 } { 3 } x + \frac { 61 } { 3 }$ 
B)  $y = \frac { 3 } { 4 } x + \frac { 11 } { 4 }$ 
C)  $y = - \frac { 4 } { 3 } x - \frac { 61 } { 3 }$ 
D)  $y = - \frac { 7 } { 3 } x + \frac { 49 } { 3 }$ 
A)  $y = \frac { 4 } { 3 } x + \frac { 61 } { 3 }$ 
B)  $y = \frac { 3 } { 4 } x + \frac { 11 } { 4 }$ 
C)  $y = - \frac { 4 } { 3 } x - \frac { 61 } { 3 }$ 
D)  $y = - \frac { 7 } { 3 } x + \frac { 49 } { 3 }$

Question 15

Find which values of x are solutions.
-$$\frac { x } { 2 } + \frac { 1 } { 5 } = \frac { x } { 5 }$$
a. $x = 0$
b. $x = - \frac { 2 } { 3 }$
c. $x = 1$

Accepted Answer

A)  (a) and (b) 
B)  (a) 
C)  (b) 
D)  (b) and (c) 
A)  (a) and (b) 
B)  (a) 
C)  (b) 
D)  (b) and (c)

Question 16

Solve the equation by factoring.
-$$30 x ^ { 2 } + 51 x + 18 = 0$$

Accepted Answer

A)  $x = - \frac { 6 } { 5 }$ or $x = - \frac { 1 } { 2 }$ 
B)  $x = \frac { 6 } { 5 }$ or $x = \frac { 1 } { 2 }$ 
C)  $x = \frac { 5 } { 6 }$ or $x = 2$ 
D)  $x = - \frac { 5 } { 6 }$ or $x = - \frac { 1 } { 2 }$ 
A)  $x = - \frac { 6 } { 5 }$ or $x = - \frac { 1 } { 2 }$ 
B)  $x = \frac { 6 } { 5 }$ or $x = \frac { 1 } { 2 }$ 
C)  $x = \frac { 5 } { 6 }$ or $x = 2$ 
D)  $x = - \frac { 5 } { 6 }$ or $x = - \frac { 1 } { 2 }$

Question 17

Find the value of x or y so that the line through the pair of points has the given slope.
-$( - 1,4 )$ and $( 4 , y ) ; m = 0$

Accepted Answer

A)  $- 4$ 
B)  3 
C)  $- 3$ 
D)  4 
A)  $- 4$ 
B)  3 
C)  $- 3$ 
D)  4

Question 18

Write the expression in the form bi, where b is a real number.
-$\sqrt { - 2500 }$

Accepted Answer

A)  $\mathrm { i } \sqrt { 50 }$ 
B)  $\pm 50$ 
C)  $- 50 \mathrm { i }$ 
D)  $50 \mathrm { i }$ 
A)  $\mathrm { i } \sqrt { 50 }$ 
B)  $\pm 50$ 
C)  $- 50 \mathrm { i }$ 
D)  $50 \mathrm { i }$

Question 19

Solve the equation by extracting the square roots.
-$$2 ( x - 1 ) ^ { 2 } = 7$$

Accepted Answer

A)  $x = 1 - \sqrt { \frac { 7 } { 2 } }$ or $x = 1 + \sqrt { \frac { 7 } { 2 } }$ 
B)  $x = \sqrt { \frac { 7 } { 2 } }$ 
C)  $x = - 1 - \sqrt { \frac { 7 } { 2 } }$ or $x = - 1 + \sqrt { \frac { 7 } { 2 } }$ 
D)  $x = - \sqrt { \frac { 7 } { 2 } }$ or $x = \sqrt { \frac { 7 } { 2 } }$ 
A)  $x = 1 - \sqrt { \frac { 7 } { 2 } }$ or $x = 1 + \sqrt { \frac { 7 } { 2 } }$ 
B)  $x = \sqrt { \frac { 7 } { 2 } }$ 
C)  $x = - 1 - \sqrt { \frac { 7 } { 2 } }$ or $x = - 1 + \sqrt { \frac { 7 } { 2 } }$ 
D)  $x = - \sqrt { \frac { 7 } { 2 } }$ or $x = \sqrt { \frac { 7 } { 2 } }$

Question 20

Draw a scatter plot of the data given in the table.
-The total in billions of dollars of U.S. imports from a particular country from 1995 to 1999 is given in the following table.

Accepted Answer

A)  billions of dollars
  
B)  billions of dollars
  
C)  billions of dollars
  
D)  billions of dollars
  
A)  billions of dollars
  
B)  billions of dollars
  
C)  billions of dollars
  
D)  billions of dollars

Simplify the expression. Assume that the variables in the denominator are nonzero. - $\frac { x ^ { 3 } y ^ { 9 } } { x ^ { 7 } y ^ { 4 } }$

Find the distance between the points. - $( 5 , - 5 ) ( - 5 , - 7 )$

Solve the equation by factoring. - $2 x ^ { 2 } - 9 x - 5 = 0$

-What was the total increase in sales from 1989 to 1990?

Solve the equation. - $10 y = 3 y + 7 + 6 y$

Solve the inequality and draw a number line graph of the solution. - $2 ( 4 - 2 x ) + 2 ( 2 x - 2 ) \geq 2 x$ $Solve the inequality and draw a number line graph of the solution. - 2 ( 4 - 2 x ) + 2 ( 2 x - 2 ) \geq 2 x$

Use interval notation to describe the interval of real numbers. - $- 3 \leq x < 1$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 19 } { 4 }$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 7 }$

Solve the inequality. - $\frac { 3 y - 2 } { 3 } + \frac { 4 y + 1 } { 5 } \leq y + 1$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } + 3 x \leq 4$

Solve the equation by extracting the square roots. - $( 2 x + 4 ) ^ { 2 } = 121$

Write the product in standard form. - $( - 7 - 8 \mathrm { i } ) ( - 7 + 8 \mathrm { i } )$

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through $( - 7,11 )$ parallel to $4 x - 3 y = - 49$

Find which values of x are solutions. - $\frac { x } { 2 } + \frac { 1 } { 5 } = \frac { x } { 5 }$ a. $x = 0$ b. $x = - \frac { 2 } { 3 }$ c. $x = 1$

Solve the equation by factoring. - $30 x ^ { 2 } + 51 x + 18 = 0$

Find the value of x or y so that the line through the pair of points has the given slope. - $( - 1,4 )$ and $( 4 , y ) ; m = 0$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 2500 }$

Solve the equation by extracting the square roots. - $2 ( x - 1 ) ^ { 2 } = 7$

Draw a scatter plot of the data given in the table. -The total in billions of dollars of U.S. imports from a particular country from 1995 to 1999 is given in the following table.

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

Exam 12: Prerequisites

Simplify the expression. Assume that the variables in the denominator are nonzero. - x3y9x7y4\frac { x ^ { 3 } y ^ { 9 } } { x ^ { 7 } y ^ { 4 } }x7y4x3y9​

Find the distance between the points. - (5,−5)(−5,−7)( 5 , - 5 ) ( - 5 , - 7 )(5,−5)(−5,−7)

Solve the equation by factoring. - 2x2−9x−5=02 x ^ { 2 } - 9 x - 5 = 02x2−9x−5=0

-What was the total increase in sales from 1989 to 1990?

Solve the equation. - 10y=3y+7+6y10 y = 3 y + 7 + 6 y10y=3y+7+6y

Solve the inequality and draw a number line graph of the solution. - 2(4−2x)+2(2x−2)≥2x2 ( 4 - 2 x ) + 2 ( 2 x - 2 ) \geq 2 x2(4−2x)+2(2x−2)≥2x

Use interval notation to describe the interval of real numbers. - −3≤x<1- 3 \leq x < 1−3≤x<1

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - 194\frac { 19 } { 4 }419​

Write the expression in the form bi, where b is a real number. - −7\sqrt { - 7 }−7​

Solve the inequality. - 3y−23+4y+15≤y+1\frac { 3 y - 2 } { 3 } + \frac { 4 y + 1 } { 5 } \leq y + 133y−2​+54y+1​≤y+1

Solve the inequality. Use algebra to solve the corresponding equation. - x2+3x≤4x ^ { 2 } + 3 x \leq 4x2+3x≤4

Solve the equation by extracting the square roots. - (2x+4)2=121( 2 x + 4 ) ^ { 2 } = 121(2x+4)2=121

Write the product in standard form. - (−7−8i)(−7+8i)( - 7 - 8 \mathrm { i } ) ( - 7 + 8 \mathrm { i } )(−7−8i)(−7+8i)

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through (−7,11)( - 7,11 )(−7,11) parallel to 4x−3y=−494 x - 3 y = - 494x−3y=−49

Find which values of x are solutions. - x2+15=x5\frac { x } { 2 } + \frac { 1 } { 5 } = \frac { x } { 5 }2x​+51​=5x​ a. x=0x = 0x=0 b. x=−23x = - \frac { 2 } { 3 }x=−32​ c. x=1x = 1x=1

Solve the equation by factoring. - 30x2+51x+18=030 x ^ { 2 } + 51 x + 18 = 030x2+51x+18=0

Find the value of x or y so that the line through the pair of points has the given slope. - (−1,4)( - 1,4 )(−1,4) and (4,y);m=0( 4 , y ) ; m = 0(4,y);m=0

Write the expression in the form bi, where b is a real number. - −2500\sqrt { - 2500 }−2500​

Solve the equation by extracting the square roots. - 2(x−1)2=72 ( x - 1 ) ^ { 2 } = 72(x−1)2=7

Draw a scatter plot of the data given in the table. -The total in billions of dollars of U.S. imports from a particular country from 1995 to 1999 is given in the following table.

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

Simplify the expression. Assume that the variables in the denominator are nonzero. - $\frac { x ^ { 3 } y ^ { 9 } } { x ^ { 7 } y ^ { 4 } }$

Find the distance between the points. - $( 5 , - 5 ) ( - 5 , - 7 )$

Solve the equation by factoring. - $2 x ^ { 2 } - 9 x - 5 = 0$

Solve the equation. - $10 y = 3 y + 7 + 6 y$

Solve the inequality and draw a number line graph of the solution. - $2 ( 4 - 2 x ) + 2 ( 2 x - 2 ) \geq 2 x$ $Solve the inequality and draw a number line graph of the solution. - 2 ( 4 - 2 x ) + 2 ( 2 x - 2 ) \geq 2 x$

Use interval notation to describe the interval of real numbers. - $- 3 \leq x < 1$

Find the decimal form for the rational number. If it repeats, then so indicate with a bar. - $\frac { 19 } { 4 }$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 7 }$

Solve the inequality. - $\frac { 3 y - 2 } { 3 } + \frac { 4 y + 1 } { 5 } \leq y + 1$

Solve the inequality. Use algebra to solve the corresponding equation. - $x ^ { 2 } + 3 x \leq 4$

Solve the equation by extracting the square roots. - $( 2 x + 4 ) ^ { 2 } = 121$

Write the product in standard form. - $( - 7 - 8 \mathrm { i } ) ( - 7 + 8 \mathrm { i } )$

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through $( - 7,11 )$ parallel to $4 x - 3 y = - 49$

Find which values of x are solutions. - $\frac { x } { 2 } + \frac { 1 } { 5 } = \frac { x } { 5 }$ a. $x = 0$ b. $x = - \frac { 2 } { 3 }$ c. $x = 1$

Solve the equation by factoring. - $30 x ^ { 2 } + 51 x + 18 = 0$

Find the value of x or y so that the line through the pair of points has the given slope. - $( - 1,4 )$ and $( 4 , y ) ; m = 0$

Write the expression in the form bi, where b is a real number. - $\sqrt { - 2500 }$

Solve the equation by extracting the square roots. - $2 ( x - 1 ) ^ { 2 } = 7$