Answers MOHEGAN - ALGEBRA 1AIntroduction to Compound Inequalities

Introduction to Compound 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.

6 sides

7 sides

8 sides

9 sides

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What value of x is in the solution set of the inequality –2(3x + 2) > –8x + 6?

–6

–5

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

zero

one

two

infinitely many

Which compound inequality could be represented by the graph?

–4 ≤ x ≤ 4

–2 ≤ x ≤ –1

x ≤ –1 or x ≥ 0

x ≤ 3 or x ≥ –1

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

(x + 30 + 60) = x

(x) = x(30 + 60)

x(30 + 60) = x

(x) = (30 + 60)

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?

12 < x ≤ 12.2

12 > x ≤ 12.2

x > 12 or x ≤ 12.2

x < 12 or x ≤ 12.2

Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?

-30 - x = 10 and -30 - x = –10

-30 + x = 10 and -30 + x = –10

x + 10 = 30 and x + 10 = –30

x – 10 = 30 and x – 10 = –30

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

0.8 = 0.8

–0.8 = –0.8

3 = 3

–3 = –3

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 – 4

2.3p – 10.1 = 6.49p – 4

230p – 1010 = 650p – 400 – p

23p – 101 = 65p – 40 – p

2.3p – 14.1 = 6.4p – 4

Solve the equation.2x − 3 + 4x = 21

x = −12

x = −6

x = 4

x = 6

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

(–∞, –3]

[–3, ∞)

(–∞, 15]

[15, ∞)

The formula for the area of a triangle is , where b is the length of the base and h is the height.Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

3 units

5 units

8 units

9 units

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

(10h + 60) = (10h)

(10h + 60h) = (10h)

h(10 + 60) = h(10)

(10 + 60h) = (10h)

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

6 + 2(x + 4) = (3 – x)

6 + 2(x + 4) = (x – 3)

(6 + 2)(x + 4) = (3 – x)

(6 + 2)(x + 4) = (x – 3)

Which number line represents the solution set for the inequality 3x < –9?

A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.

A number line from negative 4 to 4 in increments of 1. A point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.

A number line from negative 4 to 4 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

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Introduction to Compound Inequalities — Unit test Answers

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