Algebra Graph questions

Intermediate Algebra 012 Quiz #2

Due April 20, 2014 11:00 pm ET

Name___________________________________

Please remember you must attach your handwritten work to show me how you solved the problems, when applicable, to receive full credit. Be sure to write legibly. You should return the quiz with the correct answer indicated and your handwritten work on seperate pages. Each problem is worth 5 points. Good luck!

Determine the coordinates of the indicated point on the graph.

1) Point D 1) A) (4, -3) B) (-3, 4) C) (3, 5) D) (5, 3)

Write the number in scientific notation. 2) 204.687 2)

A) 2.04687 × 102 B) 2.04687 × 10-2 C) 2.04687 × 10-3 D) 2.04687 × 103

Solve. Write the answer in scientific notation. 3) If the density of a substance is 4.18 × 10-5 tons per cubic foot, what would be the mass of

3.84 × 10-2 cubic feet of this substance. Use the formula D = M V

.

3)

A) 1.61 × 10-5 tons B) 1.61 × 10-7 tons C) 0.16 × 10-6 tons D) 1.61 × 10-6 tons

Perform the indicated operations. 4) (10x5 + 20x3) - (19x5 - 14x3) 4)

A) -9x5 + 6x3 B) 29x5 + 6x3 C) -9x5 + 34x3 D) 25x8

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Solve. 5) Find the area of the shaded region.

(3x - 12) in.

(3x + 12) in.

5)

A) (9x2 - 3x - 144) sq. in. B) (6x2 - 144) sq. in. C) (12x2 - 144) sq. in. D) (6x2 + 144) sq. in.

Factor the polynomial completely. 6) xy + 11x - 5y - 55 6)

A) (y + 11)(x - 5) B) (x + 11)(y - 5) C) (x - 11)(y + 5) D) (y - 11)(x + 5)

7) 8x2 - 24xy - 32y2 7) A) 8(x + y)(x - 4y) B) (8x - 8y)(x + 4y) C) prime polynomial D) 8(x - y)(x + 4y)

8) 25 - 4x2 8) A) (5 + 2x)2 B) (5 + 2x)(5 - 2x) C) prime polynomial D) (5 - 2x)2

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Match the polynomial function with its graph. 9) f(x) = (x + 1)(x + 4)(x + 5) 9)

A) B)

C) D)

Plot the point and name the quadrant or axis in which the point lies. 10) (6, -5) 10)

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A) quadrant II B) quadrant IV

C) quadrant III D) quadrant I

Given the following function, find the indicated value. 11) Find f(-x) when f(x) = 7x + 3 11)

A) -x + 3 B) -7x + 3 C) -7x D) -7x - 3

Decide whether the relation defines a function. 12) x = 3y2 12)

A) not a function B) function

Write the equation using function notation. 13) -x - 2y = -6 13)

A) f(x) = - 1 2

x + 3 B) f(x) = - 1 2

x - 3 C) f(x) = 1 2

x + 3 D) f(x) = 1 2

x - 3

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Graph the function. 14) f(x) = -4 14)

A) B)

C) D)

Find the slope of the line. 15) y + 3 = 0 15)

A) 3 B) -3 C) undefined D) 0

Find the slope of the line that goes through the given points. 16) (-7, -3), (-7, -4) 16)

A) 1 2

B) undefined C) 0 D) - 1 14

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Find an equation of the line. Write the equation in standard form. 17) Slope 0; through (8, -9) 17)

A) x = -9 B) x = 8 C) y = -9 D) y = 8

Write an equation of the line with the given slope and containing the given point. Write the equation in the form y = mx + b.

18) Slope 4; through (-8, 8) 18) A) y - 8 = mx + 8 B) y = 4x + 40 C) y = 4x - 40 D) y - 8 = x + 8

Factor the polynomial completely. 19) 49x2 + 70x + 25 19)

A) (49x + 1)(x + 25) B) (7x + 5)(7x - 5) C) (7x - 5)2 D) (7x + 5)2

Solve the equation. 20) x3 + 3x2 = 18x 20)

A) 6, 0, -3 B) 6, -3 C) -6, 0, 3 D) -6, 3

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