Answers FL-1200710-Mathematics for College Algebra ASolving Quadratic Equations: Completing the Square

Solving Quadratic Equations: Completing the Square — Unit test Answers

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Alessandro wrote the quadratic equation in standard form. What is the value of c in his new equation?

Option

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What are the solutions to x2 + 8x + 7 = 0?

x = –8 and x = –7

x = –7 and x = –1

x = 1 and x = 7

x = 7 and x = 8

What is the solution to 2x2+8x=x2-16?

x=-4

x=-2

x=2

x=4

Which equation results from taking the square root of both sides of (x – 9)2 = 81?

x – 9 = ±9

x + 9 = ±9

x + 3 = ±9

x – 3 = ±9

Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.

(1, 1)

(0, 1) and (1, 1)

(0, 0) and (1, 1)

no solutions

Which equations can be used to find the lengths of the legs of the triangle? Select three options.

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 100

Brianna is graphing the function f(x) = x2 + 6x + 5. What x-intercepts should Brianna use to graph f(x)?

–5 and –1

–5 and 1

–1 and 5

1 and 5

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

(4 minus StartRoot 19 EndRoot comma 4 + StartRoot 19 EndRoot)

(4 minus StartRoot 11 EndRoot comma 4 + StartRoot 11 EndRoot)

(4 minus StartRoot 8 EndRoot comma 4 + StartRoot 8 EndRoot)

(4 minus StartRoot 3 EndRoot comma 4 + StartRoot 3 EndRoot)

What are the values of a, b, and c in the quadratic equation 0 = 5x – 4x2 – 2?

a = 5, b = 4, c = 2

a = 5, b = –4, c = –2

a = –4, b = 5, c = –2

a = 4, b = –5, c = –2

Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1?

(1, –1)

(0, 0) and (0, –1)

(0, 0) and (2, 0)

no solutions

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

x2 + 1 = 420

x2 + 2 = 420

x2 + x = 420

x2 + 2x = 420

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?Quadratic formula: x =

x =

What is the first step in solving the quadratic equation -5x2+8=133?

taking the square root of both sides of the equation

subtracting 8 from both sides of the equation

squaring both sides of the equation

adding 8 to both sides of the equation

Ramiya is using the quadratic formula to solve a quadratic equation. Her equation is x = after substituting the values of a, b, and c into the formula. Which is Ramiya’s quadratic equation?Quadratic formula: x =

0 = x2 + 3x + 2

0 = x2 – 3x + 2

0 = 2x2 + 3x + 1

0 = 2x2 – 3x + 1

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.

x2 + (x – 2)2 = 10

x2 + 2x2 = 10

x2 + (x – 2)2 = 100

x2 + 2x2 = 100

What number should be added to both sides of the equation to complete the square? x2 + 12x = 11

Answer not available

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?

(negative 6 minus StartRoot 51 EndRoot comma negative 6 + StartRoot 51 EndRoot)