Exam 2: Equations and Inequalities

Decide what values of the variable cannot possibly be solutions for the equation. -An experienced accountant can prepare a tax return in 8 hours. A novice accountant can do the job in 14 hours. How long will it take them to do the job working together?

(Multiple Choice)

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Question 141

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply. - $\sqrt { - 6 }$

(Multiple Choice)

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Question 142

Solve the equation by the square root property. - $( x - 7 ) ^ { 2 } = 11$

(Multiple Choice)

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Question 143

Solve the equation by completing the square. - $x ^ { 2 } + 10 x = - 16$

(Multiple Choice)

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Question 144

Solve for the indicated variable. - $Z = A ( 1 + x ) ^ { 1 / 2 }$ , for $x$

(Multiple Choice)

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Question 145

Decide what values of the variable cannot possibly be solutions for the equation. - $( 3 x - 5 ) ^ { 2 } + 7 ( 3 x - 5 ) + 12 = 0$

(Multiple Choice)

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Question 146

Indicate whether the statement is true always, sometimes, or never. -The difference between two real numbers is a real number.

(Multiple Choice)

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Question 147

Indicate whether the statement is true always, sometimes, or never. -When i is raised to an odd power, the result $\text { is } - 1$

(Multiple Choice)

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Question 148

Simplify the power of i. - $\mathrm { i } ^ { - 55 }$

(Multiple Choice)

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Question 149

Write the number as the product of a real number and i. - $- \sqrt { - 16 }$

(Multiple Choice)

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Question 150

Graph the solution set. - $| - 7 x + 6 | = 1$

(Multiple Choice)

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Question 151

Solve the inequality. Write the solution set in interval notation. - $| 8 x - 7 | > - 8$

(Multiple Choice)

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Question 152

Graph the solution set. - $| x | \neq 3$ $Graph the solution set. - | x | \neq 3$

(Multiple Choice)

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Question 153

Graph the solution set. - $| x | \leq 6$ $Graph the solution set. - | x | \leq 6$

(Multiple Choice)

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Question 154

Solve for y. - $8 x - 6 ( x + y ) = y - x$

(Multiple Choice)

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Question 155

Solve the cubic equation using factoring and the quadratic formula. - $x ^ { 3 } + 1 = 0$

(Multiple Choice)

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Question 156

Indicate whether the statement is true always, sometimes, or never. -The sum of two imaginary numbers is an imaginary number.

(Multiple Choice)

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Question 157

Decide what values of the variable cannot possibly be solutions for the equation. - $4 \sqrt { x } = \sqrt { 9 x + 9 }$

(Multiple Choice)

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Question 158

Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 mi, the distance between the cars was 4 mi more than the distance traveled by the car heading east. How far had The east bound car traveled?

(Multiple Choice)

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Question 159

Decide what values of the variable cannot possibly be solutions for the equation. - $\frac { - 5 x ^ { 2 } - 4 } { x - 4 } = \frac { - 15 x } { x - 4 } + 4$

(Multiple Choice)

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Question 160

Decide what values of the variable cannot possibly be solutions for the equation. -An experienced accountant can prepare a tax return in 8 hours. A novice accountant can do the job in 14 hours. How long will it take them to do the job working together?

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply. - $\sqrt { - 6 }$

Solve the equation by the square root property. - $( x - 7 ) ^ { 2 } = 11$

Solve the equation by completing the square. - $x ^ { 2 } + 10 x = - 16$

Solve for the indicated variable. - $Z = A ( 1 + x ) ^ { 1 / 2 }$ , for $x$

Decide what values of the variable cannot possibly be solutions for the equation. - $( 3 x - 5 ) ^ { 2 } + 7 ( 3 x - 5 ) + 12 = 0$

Indicate whether the statement is true always, sometimes, or never. -The difference between two real numbers is a real number.

Indicate whether the statement is true always, sometimes, or never. -When i is raised to an odd power, the result $\text { is } - 1$

Simplify the power of i. - $\mathrm { i } ^ { - 55 }$

Write the number as the product of a real number and i. - $- \sqrt { - 16 }$

Graph the solution set. - $| - 7 x + 6 | = 1$

Solve the inequality. Write the solution set in interval notation. - $| 8 x - 7 | > - 8$

Graph the solution set. - $| x | \neq 3$ $Graph the solution set. - | x | \neq 3$

Graph the solution set. - $| x | \leq 6$ $Graph the solution set. - | x | \leq 6$

Solve for y. - $8 x - 6 ( x + y ) = y - x$

Solve the cubic equation using factoring and the quadratic formula. - $x ^ { 3 } + 1 = 0$

Indicate whether the statement is true always, sometimes, or never. -The sum of two imaginary numbers is an imaginary number.

Decide what values of the variable cannot possibly be solutions for the equation. - $4 \sqrt { x } = \sqrt { 9 x + 9 }$

Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 mi, the distance between the cars was 4 mi more than the distance traveled by the car heading east. How far had The east bound car traveled?

Decide what values of the variable cannot possibly be solutions for the equation. - $\frac { - 5 x ^ { 2 } - 4 } { x - 4 } = \frac { - 15 x } { x - 4 } + 4$

Review of Basic Concepts

Graphs and Functions

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 2: Equations and Inequalities

Decide what values of the variable cannot possibly be solutions for the equation. -An experienced accountant can prepare a tax return in 8 hours. A novice accountant can do the job in 14 hours. How long will it take them to do the job working together?

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply. - −6\sqrt { - 6 }−6​

Solve the equation by the square root property. - (x−7)2=11( x - 7 ) ^ { 2 } = 11(x−7)2=11

Solve the equation by completing the square. - x2+10x=−16x ^ { 2 } + 10 x = - 16x2+10x=−16

Solve for the indicated variable. - Z=A(1+x)1/2Z = A ( 1 + x ) ^ { 1 / 2 }Z=A(1+x)1/2 , for xxx

Decide what values of the variable cannot possibly be solutions for the equation. - (3x−5)2+7(3x−5)+12=0( 3 x - 5 ) ^ { 2 } + 7 ( 3 x - 5 ) + 12 = 0(3x−5)2+7(3x−5)+12=0

Indicate whether the statement is true always, sometimes, or never. -The difference between two real numbers is a real number.

Indicate whether the statement is true always, sometimes, or never. -When i is raised to an odd power, the result is −1\text { is } - 1 is −1

Simplify the power of i. - i−55\mathrm { i } ^ { - 55 }i−55

Write the number as the product of a real number and i. - −−16- \sqrt { - 16 }−−16​

Graph the solution set. - ∣−7x+6∣=1| - 7 x + 6 | = 1∣−7x+6∣=1

Solve the inequality. Write the solution set in interval notation. - ∣8x−7∣>−8| 8 x - 7 | > - 8∣8x−7∣>−8

Graph the solution set. - ∣x∣≠3| x | \neq 3∣x∣=3

Graph the solution set. - ∣x∣≤6| x | \leq 6∣x∣≤6

Solve for y. - 8x−6(x+y)=y−x8 x - 6 ( x + y ) = y - x8x−6(x+y)=y−x

Solve the cubic equation using factoring and the quadratic formula. - x3+1=0x ^ { 3 } + 1 = 0x3+1=0

Indicate whether the statement is true always, sometimes, or never. -The sum of two imaginary numbers is an imaginary number.

Decide what values of the variable cannot possibly be solutions for the equation. - 4x=9x+94 \sqrt { x } = \sqrt { 9 x + 9 }4x​=9x+9​

Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 12 mi, the distance between the cars was 4 mi more than the distance traveled by the car heading east. How far had The east bound car traveled?

Decide what values of the variable cannot possibly be solutions for the equation. - −5x2−4x−4=−15xx−4+4\frac { - 5 x ^ { 2 } - 4 } { x - 4 } = \frac { - 15 x } { x - 4 } + 4x−4−5x2−4​=x−4−15x​+4

Review of Basic Concepts

Graphs and Functions

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply. - $\sqrt { - 6 }$

Solve the equation by the square root property. - $( x - 7 ) ^ { 2 } = 11$

Solve the equation by completing the square. - $x ^ { 2 } + 10 x = - 16$

Solve for the indicated variable. - $Z = A ( 1 + x ) ^ { 1 / 2 }$ , for $x$

Decide what values of the variable cannot possibly be solutions for the equation. - $( 3 x - 5 ) ^ { 2 } + 7 ( 3 x - 5 ) + 12 = 0$

Indicate whether the statement is true always, sometimes, or never. -When i is raised to an odd power, the result $\text { is } - 1$

Simplify the power of i. - $\mathrm { i } ^ { - 55 }$

Write the number as the product of a real number and i. - $- \sqrt { - 16 }$

Graph the solution set. - $| - 7 x + 6 | = 1$

Solve the inequality. Write the solution set in interval notation. - $| 8 x - 7 | > - 8$

Graph the solution set. - $| x | \neq 3$ $Graph the solution set. - | x | \neq 3$

Graph the solution set. - $| x | \leq 6$ $Graph the solution set. - | x | \leq 6$

Solve for y. - $8 x - 6 ( x + y ) = y - x$

Solve the cubic equation using factoring and the quadratic formula. - $x ^ { 3 } + 1 = 0$

Decide what values of the variable cannot possibly be solutions for the equation. - $4 \sqrt { x } = \sqrt { 9 x + 9 }$

Decide what values of the variable cannot possibly be solutions for the equation. - $\frac { - 5 x ^ { 2 } - 4 } { x - 4 } = \frac { - 15 x } { x - 4 } + 4$