AnswersPA PCS Math 1 2026 Fall Sem XRQuadratic Functions: Standard Form

Modeling with Quadratic Equations Answers

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The product of two consecutive integers is 342. Which quadratic equation can be used to find x, the greater number?

A
x2 + 1 = 342
B
x2 − 1 = 342
C
x2 − x + 342 = 0
D
x2 − x − 342 = 0
2
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The product of two positive numbers is 750. The first number is 5 less than the second number. The equationx(x – 5) = 750 can be used to find x, the value of the greater number.

A
15
B
25
C
30
D
50
3

The product of two consecutive positive integers is 812. What is the value of the lesser integer?

A
7
B
28
C
58
D
203
4

Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.

A
s2 = (s + 6)
Option A
B
s2 = (s)(s + 6)
C
s2 = (6s)
Option C
D
s2 = (s)(6s)
5

A rocket is launched into the air. The projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the time since launch in seconds and h(t) is the height of the rocket at time t.

A
after 2.0 seconds
B
after 3.5 seconds
C
after 4.5 seconds
D
after 7.0 seconds

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