Exam 2: Equations and Inequalities

Solve and graph the inequality. Give answer in interval notation. - $\frac { 2 x - 5 } { 4 } < \frac { 13 } { 2 }$ $Solve and graph the inequality. Give answer in interval notation. - \frac { 2 x - 5 } { 4 } < \frac { 13 } { 2 }$

(Multiple Choice)

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Question 441

Solve the equation using the quadratic formula. - $x ^ { 2 } + x + 5 = 0$

(Multiple Choice)

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Question 442

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt { 2 x + 3 } - \sqrt { x + 1 } = 1$

(Multiple Choice)

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Question 443

Solve for y. - $5 = 7 x - 8 y$

(Multiple Choice)

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Question 444

A can has a surface area of 790 square inches. Its height is 6.91 inches. What is the radius of the circular top? Round to the nearest hundredth.

(Multiple Choice)

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Question 445

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt [ 3 ] { 5 x ^ { 2 } + 5 x - 10 } = \sqrt [ 3 ] { 5 x ^ { 2 } - 3 x + 6 }$

(Multiple Choice)

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Question 446

Decide what values of the variable cannot possibly be solutions for the equation. - $1 + \frac { 1 } { x } = \frac { 20 } { x ^ { 2 } }$

(Multiple Choice)

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Question 447

Solve and graph the inequality. Give answer in interval notation. - $4 x + 6 > 3 x + 8$

(Multiple Choice)

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Question 448

Determine whether or not the equation is linear. - $2 x - 4 + 5 ( x + 1 ) = 6 x + 5$

(Multiple Choice)

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Question 449

Solve the rational inequality. Write the solution set in interval notation. - $\frac { ( x - 3 ) ( x + 7 ) } { x - 4 } \leq 0$

(Multiple Choice)

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Question 450

Solve the equation using the quadratic formula. - $4 x ^ { 2 } + 8 x + 2 = 0$

(Multiple Choice)

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Question 451

Graph the solution set. - $| x | = - 3$

(Multiple Choice)

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Question 452

Determine whether or not the equation is linear. - $5 x - 6 x = 0$

(Multiple Choice)

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Question 453

Solve the inequality. Write the solution set in interval notation. - $| x + 4 | < 2$

(Multiple Choice)

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Question 454

Solve the equation using the quadratic formula. - $x ^ { 2 } - 14 x + 53 = 0$

(Multiple Choice)

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Question 455

Solve the problem. -Mardi received an inheritance of $50,000. She invested part at 1.75% and deposited the remainder in tax-free bonds at 2%. Her total annual income from the investments was $925. Find the amount invested at 1.75%.

(Multiple Choice)

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Question 456

Decide what values of the variable cannot possibly be solutions for the equation. - $x ^ { 2 / 3 } = 3 x ^ { 1 / 3 }$

(Multiple Choice)

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Question 457

Solve the equation for the indicated variable. Assume no denominator is 0. - $2 x ^ { 2 } - 4 x y + 3 y ^ { 2 } = 1$ , for $x$

(Multiple Choice)

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Question 458

Solve and graph the inequality. Give answer in interval notation. - $12 x + 20 > 4 ( 2 x + 2 )$

(Multiple Choice)

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Question 459

Graph the solution set. - $| 6 x + 1 | = - 5$

(Multiple Choice)

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Question 460

Solve and graph the inequality. Give answer in interval notation. - $\frac { 2 x - 5 } { 4 } < \frac { 13 } { 2 }$ $Solve and graph the inequality. Give answer in interval notation. - \frac { 2 x - 5 } { 4 } < \frac { 13 } { 2 }$

Solve the equation using the quadratic formula. - $x ^ { 2 } + x + 5 = 0$

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt { 2 x + 3 } - \sqrt { x + 1 } = 1$

Solve for y. - $5 = 7 x - 8 y$

A can has a surface area of 790 square inches. Its height is 6.91 inches. What is the radius of the circular top? Round to the nearest hundredth.

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt [ 3 ] { 5 x ^ { 2 } + 5 x - 10 } = \sqrt [ 3 ] { 5 x ^ { 2 } - 3 x + 6 }$

Decide what values of the variable cannot possibly be solutions for the equation. - $1 + \frac { 1 } { x } = \frac { 20 } { x ^ { 2 } }$

Solve and graph the inequality. Give answer in interval notation. - $4 x + 6 > 3 x + 8$

Determine whether or not the equation is linear. - $2 x - 4 + 5 ( x + 1 ) = 6 x + 5$

Solve the rational inequality. Write the solution set in interval notation. - $\frac { ( x - 3 ) ( x + 7 ) } { x - 4 } \leq 0$

Solve the equation using the quadratic formula. - $4 x ^ { 2 } + 8 x + 2 = 0$

Graph the solution set. - $| x | = - 3$

Determine whether or not the equation is linear. - $5 x - 6 x = 0$

Solve the inequality. Write the solution set in interval notation. - $| x + 4 | < 2$

Solve the equation using the quadratic formula. - $x ^ { 2 } - 14 x + 53 = 0$

Solve the problem. -Mardi received an inheritance of $50,000. She invested part at 1.75% and deposited the remainder in tax-free bonds at 2%. Her total annual income from the investments was $925. Find the amount invested at 1.75%.

Decide what values of the variable cannot possibly be solutions for the equation. - $x ^ { 2 / 3 } = 3 x ^ { 1 / 3 }$

Solve the equation for the indicated variable. Assume no denominator is 0. - $2 x ^ { 2 } - 4 x y + 3 y ^ { 2 } = 1$ , for $x$

Solve and graph the inequality. Give answer in interval notation. - $12 x + 20 > 4 ( 2 x + 2 )$

Graph the solution set. - $| 6 x + 1 | = - 5$

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

Solve and graph the inequality. Give answer in interval notation. - 2x−54<132\frac { 2 x - 5 } { 4 } < \frac { 13 } { 2 }42x−5​<213​

Solve the equation using the quadratic formula. - x2+x+5=0x ^ { 2 } + x + 5 = 0x2+x+5=0

Decide what values of the variable cannot possibly be solutions for the equation. - 2x+3−x+1=1\sqrt { 2 x + 3 } - \sqrt { x + 1 } = 12x+3​−x+1​=1

Solve for y. - 5=7x−8y5 = 7 x - 8 y5=7x−8y

A can has a surface area of 790 square inches. Its height is 6.91 inches. What is the radius of the circular top? Round to the nearest hundredth.

Decide what values of the variable cannot possibly be solutions for the equation. - 5x2+5x−103=5x2−3x+63\sqrt [ 3 ] { 5 x ^ { 2 } + 5 x - 10 } = \sqrt [ 3 ] { 5 x ^ { 2 } - 3 x + 6 }35x2+5x−10​=35x2−3x+6​

Decide what values of the variable cannot possibly be solutions for the equation. - 1+1x=20x21 + \frac { 1 } { x } = \frac { 20 } { x ^ { 2 } }1+x1​=x220​

Solve and graph the inequality. Give answer in interval notation. - 4x+6>3x+84 x + 6 > 3 x + 84x+6>3x+8

Determine whether or not the equation is linear. - 2x−4+5(x+1)=6x+52 x - 4 + 5 ( x + 1 ) = 6 x + 52x−4+5(x+1)=6x+5

Solve the rational inequality. Write the solution set in interval notation. - (x−3)(x+7)x−4≤0\frac { ( x - 3 ) ( x + 7 ) } { x - 4 } \leq 0x−4(x−3)(x+7)​≤0

Solve the equation using the quadratic formula. - 4x2+8x+2=04 x ^ { 2 } + 8 x + 2 = 04x2+8x+2=0

Graph the solution set. - ∣x∣=−3| x | = - 3∣x∣=−3

Determine whether or not the equation is linear. - 5x−6x=05 x - 6 x = 05x−6x=0

Solve the inequality. Write the solution set in interval notation. - ∣x+4∣<2| x + 4 | < 2∣x+4∣<2

Solve the equation using the quadratic formula. - x2−14x+53=0x ^ { 2 } - 14 x + 53 = 0x2−14x+53=0

Solve the problem. -Mardi received an inheritance of $50,000. She invested part at 1.75% and deposited the remainder in tax-free bonds at 2%. Her total annual income from the investments was $925. Find the amount invested at 1.75%.

Decide what values of the variable cannot possibly be solutions for the equation. - x2/3=3x1/3x ^ { 2 / 3 } = 3 x ^ { 1 / 3 }x2/3=3x1/3

Solve the equation for the indicated variable. Assume no denominator is 0. - 2x2−4xy+3y2=12 x ^ { 2 } - 4 x y + 3 y ^ { 2 } = 12x2−4xy+3y2=1 , for xxx

Solve and graph the inequality. Give answer in interval notation. - 12x+20>4(2x+2)12 x + 20 > 4 ( 2 x + 2 )12x+20>4(2x+2)

Graph the solution set. - ∣6x+1∣=−5| 6 x + 1 | = - 5∣6x+1∣=−5

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

Solve and graph the inequality. Give answer in interval notation. - $\frac { 2 x - 5 } { 4 } < \frac { 13 } { 2 }$ $Solve and graph the inequality. Give answer in interval notation. - \frac { 2 x - 5 } { 4 } < \frac { 13 } { 2 }$

Solve the equation using the quadratic formula. - $x ^ { 2 } + x + 5 = 0$

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt { 2 x + 3 } - \sqrt { x + 1 } = 1$

Solve for y. - $5 = 7 x - 8 y$

Decide what values of the variable cannot possibly be solutions for the equation. - $\sqrt [ 3 ] { 5 x ^ { 2 } + 5 x - 10 } = \sqrt [ 3 ] { 5 x ^ { 2 } - 3 x + 6 }$

Decide what values of the variable cannot possibly be solutions for the equation. - $1 + \frac { 1 } { x } = \frac { 20 } { x ^ { 2 } }$

Solve and graph the inequality. Give answer in interval notation. - $4 x + 6 > 3 x + 8$

Determine whether or not the equation is linear. - $2 x - 4 + 5 ( x + 1 ) = 6 x + 5$

Solve the rational inequality. Write the solution set in interval notation. - $\frac { ( x - 3 ) ( x + 7 ) } { x - 4 } \leq 0$

Solve the equation using the quadratic formula. - $4 x ^ { 2 } + 8 x + 2 = 0$

Graph the solution set. - $| x | = - 3$

Determine whether or not the equation is linear. - $5 x - 6 x = 0$

Solve the inequality. Write the solution set in interval notation. - $| x + 4 | < 2$

Solve the equation using the quadratic formula. - $x ^ { 2 } - 14 x + 53 = 0$

Decide what values of the variable cannot possibly be solutions for the equation. - $x ^ { 2 / 3 } = 3 x ^ { 1 / 3 }$

Solve the equation for the indicated variable. Assume no denominator is 0. - $2 x ^ { 2 } - 4 x y + 3 y ^ { 2 } = 1$ , for $x$

Solve and graph the inequality. Give answer in interval notation. - $12 x + 20 > 4 ( 2 x + 2 )$

Graph the solution set. - $| 6 x + 1 | = - 5$