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1. Which of these is a quadratic equation? A. 2r? + 4r – 1 В. 3t — 7 %3D 2 C. s? + 5s – 4 = 0 D. 2x? – 7x 2 3 2. In the quadratic equation 3x? + 7x – 4 = 0, which is the quadratic term? А. Зх? В. 7x C. x? D. – 4 3. Find the a, b and c in the quadratic equation x? + 6x + 24 = 0. A. a = 2, b = 6, c = 24 В. а%3D1, b %3D 6, с 3D 24 C. a = 2, b = - 6, c = 24 D. a = 1, b = - 6, c = 24 4. Which of the quadratic equations can be solved easily by extracting square roots? В. х? — 81 %3D 0 A. x² + 10x + 25 = 0 C. 2x? + 4x = 0 D. x? – 2x = 0 5. The roots of a quadratic equation are 3 and - 4. Which of the quadratic equations has these roots? А. (х + 4) (x + 3) %3Dо В. В. (х + 4) (х- 3) 3D 0 C. (x – 4) ( x + 3 ) = 0 D. (x – 4 ) ( x – 3 ) = 0

1. Which of these is a quadratic equation? A. 2r? + 4r – 1 В. 3t — 7 %3D 2 C. s? + 5s – 4 = 0 D. 2x? – 7x 2 3 2. In the quadratic equation 3x? + 7x – 4 = 0, which is the quadratic term? А. Зх? В. 7x C. x? D. – 4 3. Find the a, b and c in the quadratic equation x? + 6x + 24 = 0. A. a = 2, b = 6, c = 24 В. а%3D1, b %3D 6, с 3D 24 C. a = 2, b = - 6, c = 24 D. a = 1, b = - 6, c = 24 4. Which of the quadratic equations can be solved easily by extracting square roots? В. х? — 81 %3D 0 A. x² + 10x + 25 = 0 C. 2x? + 4x = 0 D. x? – 2x = 0 5. The roots of a quadratic equation are 3 and - 4. Which of the quadratic equations has these roots? А. (х + 4) (x + 3) %3Dо В. В. (х + 4) (х- 3) 3D 0 C. (x – 4) ( x + 3 ) = 0 D. (x – 4 ) ( x – 3 ) = 0

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. Which of these is a quadratic equation? A. 2r? + 4r – 1 D. 2x? – 7x 2 3 В. 3t — 7 %3D 2 C. s? + 5s – 4 = 0 2. In the quadratic equation 3x2 + 7x – 4 = 0, which is the quadratic term? А. Зх? В. 7х C. x? D. – 4 3. Find the a, b and c in the quadratic equation x? + 6x + 24 = 0. A. a = 2, b = 6, c = 24 B. a = 1, b = 6, c = 24 C. a = 2, b = - 6, c = 24 D. a = 1, b = - 6, c = 24 4. Which of the quadratic equations can be solved easily by extracting square roots? В. x? — 81 %3D 0 C. 2x? + 4x = 0 D. x² – 2x = 0 A. x? + 10x + 25 = 0 5. The roots of a quadratic equation are 3 and - 4. Which of the quadratic equations has these roots? A. (x + 4) (x + 3) = 0 В. В. (х + 4) (х— 3) %3D 0 C. (x – 4) ( x + 3 ) = 0 D. (x – 4 ) ( x- 3 ) = 0
Transcribed Image Text:1. Which of these is a quadratic equation? A. 2r? + 4r – 1 D. 2x? – 7x 2 3 В. 3t — 7 %3D 2 C. s? + 5s – 4 = 0 2. In the quadratic equation 3x2 + 7x – 4 = 0, which is the quadratic term? А. Зх? В. 7х C. x? D. – 4 3. Find the a, b and c in the quadratic equation x? + 6x + 24 = 0. A. a = 2, b = 6, c = 24 B. a = 1, b = 6, c = 24 C. a = 2, b = - 6, c = 24 D. a = 1, b = - 6, c = 24 4. Which of the quadratic equations can be solved easily by extracting square roots? В. x? — 81 %3D 0 C. 2x? + 4x = 0 D. x² – 2x = 0 A. x? + 10x + 25 = 0 5. The roots of a quadratic equation are 3 and - 4. Which of the quadratic equations has these roots? A. (x + 4) (x + 3) = 0 В. В. (х + 4) (х— 3) %3D 0 C. (x – 4) ( x + 3 ) = 0 D. (x – 4 ) ( x- 3 ) = 0
6. Harry solves the equation 4x2+12x – 8= 0 as illustrated below: 4x? + 24х - 8 % 0 4x2 + 24x = 8 x2 + 6x = 2 = 2+ x2 + 6x + (x +3 )2 = 11 V11 V(x+3 )2 (x + 3 ) = ±/11 x = - 3+ V11 %3D What must be added to both sides of the equation to complete the process of completing the square? А. 6 В. 7 С. 8 D. 9 7. Solve the equation 2x? = 1– 2x using quadratic formula. В. 2 -1tv5 C. -1+ v3 D. –1+ V5 2 8. What are the roots of the quadratic equation x? + x – 56 = 0? B. 8 and – 7 A. 2 and – 1 C. - 8 and 7 D. 3 and – 2 9. Find the dimensions of the rectangle if its area is 24 cm². Зx+2 A. I= 24 cm w = 1 cm В. 1%3D8 ст w = 3 cm C. I = 6 cm w = 4 cm D. I = 12 cm w = 4 cm 2х- 1 10. How many real solutions does the equation x? + 6x + 9 = 0 have? A. 2 В. 1 С. О D. cannot be determined
Transcribed Image Text:6. Harry solves the equation 4x2+12x – 8= 0 as illustrated below: 4x? + 24х - 8 % 0 4x2 + 24x = 8 x2 + 6x = 2 = 2+ x2 + 6x + (x +3 )2 = 11 V11 V(x+3 )2 (x + 3 ) = ±/11 x = - 3+ V11 %3D What must be added to both sides of the equation to complete the process of completing the square? А. 6 В. 7 С. 8 D. 9 7. Solve the equation 2x? = 1– 2x using quadratic formula. В. 2 -1tv5 C. -1+ v3 D. –1+ V5 2 8. What are the roots of the quadratic equation x? + x – 56 = 0? B. 8 and – 7 A. 2 and – 1 C. - 8 and 7 D. 3 and – 2 9. Find the dimensions of the rectangle if its area is 24 cm². Зx+2 A. I= 24 cm w = 1 cm В. 1%3D8 ст w = 3 cm C. I = 6 cm w = 4 cm D. I = 12 cm w = 4 cm 2х- 1 10. How many real solutions does the equation x? + 6x + 9 = 0 have? A. 2 В. 1 С. О D. cannot be determined
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