AnswersCommon Core Algebra I A-ICSolving One-Variable Inequalities

Solving One-Variable Inequalities — Unit test Answers

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The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

A
6 sides
B
7 sides
C
8 sides
D
9 sides
2
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Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her average speed was 8.75 kilometers per hour. For the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour. Which expression represents Nikita’s distance for the second part of the race?

Question illustration
A
6t
B
0.65 – t
C
6(0.65) – t
D
6(0.65 – t)
3

Which compound inequality is represented by the graph?

Question illustration
A
x < –4 or x ≥ 3
B
x < –4 and x ≥ 3
C
x ≤ –4 or x < 3
D
x ≤ –4 and x < 3
4

To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which inequality can be used to represent the lengths of the glass that will fit in the frame?

A
12 < x ≤ 12.2
B
12 > x ≤ 12.2
C
x > 12 or x ≤ 12.2
D
x < 12 or x ≤ 12.2
5

What is the slope of a line that is perpendicular to the line x = –3?

A
–3
B
0
C
Option
Option C
D
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6

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.2.3p – 10.1 = 6.4p – 42.3p – 10.1 = 6.49p – 4230p – 1010 = 650p – 400 – p23p – 101 = 65p – 40 – p2.3p – 14.1 = 6.4p – 4

A
2.3p – 10.1 = 6.4p – 4
B
2.3p – 10.1 = 6.49p – 4
C
230p – 1010 = 650p – 400 – p
D
23p – 101 = 65p – 40 – p
E
2.3p – 14.1 = 6.4p – 4
7

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the point (–12, 10)?

Question illustration
A
y = x – 6
Option A
B
y = x + 6
Option B
C
y = x + 26
Option C
D
y = x + 10
Option D

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