Answers FL-1200310-Algebra 1 AIntroduction to Compound Inequalities

Introduction to Compound Inequalities — Unit test Answers

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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

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The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

= h

= h

Pmg = h

= h

What is the value of p in the linear equation ?

−4

−2

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

Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution?

v +4 = 8 – v

v +4 = 8

4 + v = 8 – v

2v + 4 = 8

Which compound inequality is represented by the graph?

x < –4 or x ≥ 3

x < –4 and x ≥ 3

x ≤ –4 or x < 3

x ≤ –4 and x < 3

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

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)

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

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

The axis of symmetry for a quadratic equation can be found using the formula , where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane.What is the equation when solved for a?