Answers26MATH_Recovery_Alg1B22Quadratic Functions: Vertex Form

Quadratic Functions: Vertex Form Answers

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What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? | What value(s) of x make the equation true?

A
(x – 18)(x + 2) = 0
B
(x – 6)(x – 6) = 0
C
(x + 6)(x – 6) = 0
D
(x + 18)(x – 2) = 0
2
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What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? | What value(s) of x make the equation true?

A
= 6
B
= –18 or x = 2
C
x = –6 or x = 6
D
x = –2 or x = 18
3

Which are solutions of the equation 4x2 – 7x = 3x + 24? Check all that apply. x = –4x = –3x = x = x = 2x = 4

Question illustration
A
x = –4
B
x = –3
C
x =
D
x =
E
x = 2
F
x = 4
4

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?

A
x2 – 99 = 0
B
x2 – 99x = 0
C
x2 + 5x + 104 = 0
D
x2 + 5x – 104 = 0
5

x =

Answer:

8

6

width =inches

Answer:

8

7

length =inches

Answer:

13

8

The product of two consecutive, negative integers is 182. | What equation represents the situation? | What are the two numbers?

A
x(x + 1) = –182
B
x(x + 1) = 0
C
x(x + 1) = 182
9

The product of two consecutive, negative integers is 182. | What equation represents the situation? | What are the two numbers?

A
–14 and –13
B
–1 and 0
C
13 and 14
10

length = centimeters

Answer:

22

11

width = centimeters

Answer:

15

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