Unit 2 EOC Review

Multiple Choice

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The product of a nonzero rational and an irrational is always irrational.

Multiple Choice

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.
• Irrational; The sum of a rational and an irrational is always irrational.
• Rational; The product of two rationals is always rational.
• Irrational; The product of a nonzero rational and an irrational is always irrational.

Multiple Choice

Simplify the following radical: √150

• 5√15
• 5√2
• 5√6
• 15√5

Multiple Choice

Simplify:
√45

• 9√5
• 3√5
• 5√9
• 3√15

Multiple Choice

Simplify:
√200

• 10√2
• 2√10
• 50√2
• 2√50

Multiple Choice

√243

• 3√3
• 9√3
• 81√3
• 3√81

Multiple Choice

Simplify

• 8√6
• 8√12
• 12√6
• 12√12

Multiple Choice

 Simplify:   2√40 - 3√10 

• 5√10
• √10
• -√30

Multiple Choice

4√3 - √12

• √6
• 2√3
• √2
• √5

Multiple Choice

Simplify the following:

3√45 - 2√5

• 3√5

• 25√5

• 7√5

• 9√5

Multiple Choice

Simplify:  $$\sqrt{28}\cdot\sqrt{3}$$

• $$\sqrt{84}$$

• $$2\sqrt{21}$$

• $$4\sqrt{21}$$

• $$2\sqrt{7}\cdot\sqrt{3}$$

Multiple Choice

Simplify  5√6 ⋅ 6√18

• 6√3
• 66√3
• 2√6
• 180√3

Multiple Choice

Simplify:
6√2 ⋅5√14

• 32√7
• 60√7
• 2√7
• 30√7

Multiple Choice

√5 × √10

• 50
• 2√5
• 5√2
• 5√10

Multiple Choice

Which statement correctly describes the graph?

• The lines are parallel because they have different slopes.
• The lines are NOT parallel because they have different y-intercepts.
• The lines are parallel since they have the same slope and different y-intercepts.
• The lines are perpendicular.

Multiple Choice

Which of the following represents the equation of a the line passing through (-4,5) and perpendicular to the line $$y=-\frac{1}{2}x+5$$ ?

• y=-1/2x+3

• y=2x+13

• y=2x+5

• y=2x-6

• y=2x-8

Multiple Choice

Which of the following lines goes through the point (0, 4) and is parallel to $$y=5x-3$$ ?

• y = 1/5x - 3
• y= 5x - 7
• y = 5x + 4
• y = -5x - 3

Multiple Choice

Write an equation of the line PARALLEL to the graph y=-6x+3 and goes through the point (-1,4)?

• y=-6x+4

• y=-6x-2

• y=6x-4

• y=1/6x+4

Multiple Choice

Find the distance between the points:  (-3, -4) and (5, 5)

• 11.8
• 14.4
• 12
• 19

Multiple Choice

Points G, H, and I are plotted on the coordinate grid. What is the perimeter (in units) of the triangle that they form?

• 16.64

• 39.64

• 126

• 63

Multiple Choice

What is the area of this figure?

• 7 units²
• 15 units²
• 7 1/2 units²
• 15 1/2 units²

Multiple Choice

What is the area of the shape?

• 35 units squared
• 24 units squared
• not enough information
• 22 units squared

Multiple Choice

What is the midpoint between (4,12) and (-6,14)?

• (-1,13)

• (13,-1)

• (13,1)

• (5,13)

Multiple Choice

  The coordinates of the midpoint M and endpoint Q of a segment are M(2, -5) and Q (12, -5). Find the coordinates of the other endpoint.

• (2, -5)
• (10, -8)
• (-8, -5)
• (12, -5)

Multiple Choice

The landscape designer is going to build a sitting area halfway between the corners of the swing set and the garden shed. Use the image of the backyard layout. Where should the sitting area go?

• (3,9)

• (6,6)

• (6.5, 6.5)

• (10,4)

Multiple Choice

Line AB has a midpoint at M(1.5, 1) and an endpoint at B (5, -7). What are the coordinates of endpoint A?

• (5, 7)
• (-2, 9)
• (9, -2)
• (1.5, -7)