Decide whether or not the equations are equivalent. -\[\begin{array} { l } z ^ { 2 } = 4 \\ z = 2 \end{array}\]

A) Equivalent B) Not equivalent A) Equivalent B) Not equivalent

Exam 2: Equations and Inequalities

Solve the rational inequality. Write the solution set in interval notation. -If a rocket is propelled upward from ground level, its height in meters after t seconds is given by $\mathrm { h } = - 9.8 \mathrm { t } ^ { 2 } + 78.4 \mathrm { t }$ . During what interval of time will the rocket be higher than 147 m?

(Multiple Choice)

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Question 81

Find the product. Write the answer in standard form. - $( 6 - 4 i ) ^ { 2 }$

(Multiple Choice)

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Question 82

Solve the problem. -A building needs a ramp to make it handicap accessible. By law, the ramp must run 10 inches horizontally for every 1 inch of rise. If the surface of the ramp is 78 inches long how far above the Ground is the inclined end of the ramp? Round to the nearest tenth of an inch.

(Multiple Choice)

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Question 83

Decide what values of the variable cannot possibly be solutions for the equation. - $( 4 x - 7 ) ^ { 2 } + 6 ( 4 x - 7 ) + 8 = 0$

(Multiple Choice)

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Question 84

Solve the rational inequality. Write the solution set in interval notation. -The profit made when t units are sold, t > 0, is given by $P = t ^ { 2 } - 30 t + 200$ Determine the number of units to be sold in order for P = 0 (the break- even point).

(Multiple Choice)

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Question 85

Decide whether or not the equations are equivalent. - =4 z=2

(Multiple Choice)

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Question 86

Find the product. Write the answer in standard form. - $( 8 - 9 \mathrm { i } ) ( 4 - 2 \mathrm { i } )$

(Multiple Choice)

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Question 87

Solve the inequality. Write the solution set in interval notation. - $\left| \frac { 4 x + 1 } { x - 7 } \right| \geq 0$

(Multiple Choice)

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Question 88

Solve the equation by the zero-factor property. - $x ^ { 2 } + 14 x + 40 = 0$

(Multiple Choice)

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Question 89

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex. - $4 - 6 a ^ { 2 } = - 2 a + 1$

(Multiple Choice)

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Question 90

Solve the cubic equation using factoring and the quadratic formula. - $x ^ { 3 } - 64 = 0$

(Multiple Choice)

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Question 91

Solve the equation. - $| 6 x + 8 | + 6 = 15$

(Multiple Choice)

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Question 92

Solve for y. -Hannah borrowed $52,084 at 5% simple interest for 18 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 18 months? Round answers To the nearest cent if necessary.

(Multiple Choice)

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Question 93

Solve the problem. -Find the corresponding Fahrenheit temperature for a temperature of 90°C. Round to the nearest tenth, if necessary.

(Multiple Choice)

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Question 94

Find the quotient. Write the answer in standard form. - $\frac { - 9 } { - \mathrm { i } }$

(Multiple Choice)

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Question 95

Solve the rational inequality. Write the solution set in interval notation. -The profit made when t units are sold, t > 0, is given by $\mathrm { P } = \mathrm { t } ^ { 2 } - 33 \mathrm { t } + 270$ Determine the number of units to be sold in order for P < 0 (a loss is taken).

(Multiple Choice)

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Question 96

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - $2 x + 6 ( x + 1 ) + 2 = 8 - 2 x$

(Multiple Choice)

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Question 97

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

(Multiple Choice)

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Question 98

Graph the solution set. - $| x | \geq 2$ $Graph the solution set. - | x | \geq 2$

(Multiple Choice)

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Question 99

Write the number in standard form a + bi. - $\frac { 6 - \sqrt { - 28 } } { 2 }$

(Multiple Choice)

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Question 100

Find the product. Write the answer in standard form. - $( 6 - 4 i ) ^ { 2 }$

Solve the problem. -A building needs a ramp to make it handicap accessible. By law, the ramp must run 10 inches horizontally for every 1 inch of rise. If the surface of the ramp is 78 inches long how far above the Ground is the inclined end of the ramp? Round to the nearest tenth of an inch.

Decide what values of the variable cannot possibly be solutions for the equation. - $( 4 x - 7 ) ^ { 2 } + 6 ( 4 x - 7 ) + 8 = 0$

Solve the rational inequality. Write the solution set in interval notation. -The profit made when t units are sold, t > 0, is given by $P = t ^ { 2 } - 30 t + 200$ Determine the number of units to be sold in order for P = 0 (the break- even point).

Decide whether or not the equations are equivalent. - =4 z=2

Find the product. Write the answer in standard form. - $( 8 - 9 \mathrm { i } ) ( 4 - 2 \mathrm { i } )$

Solve the inequality. Write the solution set in interval notation. - $\left| \frac { 4 x + 1 } { x - 7 } \right| \geq 0$

Solve the equation by the zero-factor property. - $x ^ { 2 } + 14 x + 40 = 0$

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex. - $4 - 6 a ^ { 2 } = - 2 a + 1$

Solve the cubic equation using factoring and the quadratic formula. - $x ^ { 3 } - 64 = 0$

Solve the equation. - $| 6 x + 8 | + 6 = 15$

Solve for y. -Hannah borrowed $52,084 at 5% simple interest for 18 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 18 months? Round answers To the nearest cent if necessary.

Solve the problem. -Find the corresponding Fahrenheit temperature for a temperature of 90°C. Round to the nearest tenth, if necessary.

Find the quotient. Write the answer in standard form. - $\frac { - 9 } { - \mathrm { i } }$

Solve the rational inequality. Write the solution set in interval notation. -The profit made when t units are sold, t > 0, is given by $\mathrm { P } = \mathrm { t } ^ { 2 } - 33 \mathrm { t } + 270$ Determine the number of units to be sold in order for P < 0 (a loss is taken).

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - $2 x + 6 ( x + 1 ) + 2 = 8 - 2 x$

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

Graph the solution set. - $| x | \geq 2$ $Graph the solution set. - | x | \geq 2$

Write the number in standard form a + bi. - $\frac { 6 - \sqrt { - 28 } } { 2 }$

Review of Basic Concepts

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Exam 2: Equations and Inequalities

Find the product. Write the answer in standard form. - (6−4i)2( 6 - 4 i ) ^ { 2 }(6−4i)2

Solve the problem. -A building needs a ramp to make it handicap accessible. By law, the ramp must run 10 inches horizontally for every 1 inch of rise. If the surface of the ramp is 78 inches long how far above the Ground is the inclined end of the ramp? Round to the nearest tenth of an inch.

Decide what values of the variable cannot possibly be solutions for the equation. - (4x−7)2+6(4x−7)+8=0( 4 x - 7 ) ^ { 2 } + 6 ( 4 x - 7 ) + 8 = 0(4x−7)2+6(4x−7)+8=0

Solve the rational inequality. Write the solution set in interval notation. -The profit made when t units are sold, t > 0, is given by P=t2−30t+200P = t ^ { 2 } - 30 t + 200P=t2−30t+200 Determine the number of units to be sold in order for P = 0 (the break- even point).

Decide whether or not the equations are equivalent. - =4 z=2

Find the product. Write the answer in standard form. - (8−9i)(4−2i)( 8 - 9 \mathrm { i } ) ( 4 - 2 \mathrm { i } )(8−9i)(4−2i)

Solve the inequality. Write the solution set in interval notation. - ∣4x+1x−7∣≥0\left| \frac { 4 x + 1 } { x - 7 } \right| \geq 0​x−74x+1​​≥0

Solve the equation by the zero-factor property. - x2+14x+40=0x ^ { 2 } + 14 x + 40 = 0x2+14x+40=0

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex. - 4−6a2=−2a+14 - 6 a ^ { 2 } = - 2 a + 14−6a2=−2a+1

Solve the cubic equation using factoring and the quadratic formula. - x3−64=0x ^ { 3 } - 64 = 0x3−64=0

Solve the equation. - ∣6x+8∣+6=15| 6 x + 8 | + 6 = 15∣6x+8∣+6=15

Solve for y. -Hannah borrowed $52,084 at 5% simple interest for 18 months. How much will the interest amount to? What is the total amount that she will have to pay back at the end of 18 months? Round answers To the nearest cent if necessary.

Solve the problem. -Find the corresponding Fahrenheit temperature for a temperature of 90°C. Round to the nearest tenth, if necessary.

Find the quotient. Write the answer in standard form. - −9−i\frac { - 9 } { - \mathrm { i } }−i−9​

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - 2x+6(x+1)+2=8−2x2 x + 6 ( x + 1 ) + 2 = 8 - 2 x2x+6(x+1)+2=8−2x

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

Graph the solution set. - ∣x∣≥2| x | \geq 2∣x∣≥2

Write the number in standard form a + bi. - 6−−282\frac { 6 - \sqrt { - 28 } } { 2 }26−−28​​

Review of Basic Concepts

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Find the product. Write the answer in standard form. - $( 6 - 4 i ) ^ { 2 }$

Decide what values of the variable cannot possibly be solutions for the equation. - $( 4 x - 7 ) ^ { 2 } + 6 ( 4 x - 7 ) + 8 = 0$

Solve the rational inequality. Write the solution set in interval notation. -The profit made when t units are sold, t > 0, is given by $P = t ^ { 2 } - 30 t + 200$ Determine the number of units to be sold in order for P = 0 (the break- even point).

Find the product. Write the answer in standard form. - $( 8 - 9 \mathrm { i } ) ( 4 - 2 \mathrm { i } )$

Solve the inequality. Write the solution set in interval notation. - $\left| \frac { 4 x + 1 } { x - 7 } \right| \geq 0$

Solve the equation by the zero-factor property. - $x ^ { 2 } + 14 x + 40 = 0$

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex. - $4 - 6 a ^ { 2 } = - 2 a + 1$

Solve the cubic equation using factoring and the quadratic formula. - $x ^ { 3 } - 64 = 0$

Solve the equation. - $| 6 x + 8 | + 6 = 15$

Find the quotient. Write the answer in standard form. - $\frac { - 9 } { - \mathrm { i } }$

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - $2 x + 6 ( x + 1 ) + 2 = 8 - 2 x$

Graph the solution set. - $| x | \geq 2$ $Graph the solution set. - | x | \geq 2$

Write the number in standard form a + bi. - $\frac { 6 - \sqrt { - 28 } } { 2 }$