Math 119 Test #1 -- PreRequisite Test

Solve the equation. (x/4) = (x/9) + (5/4)

x = 9

When 3 times a number is subtracted from 7 times the number, the result is 36. What is the number?

x = 9

Multiply the expression using the product rule. x^7 * x^8

x^15

Divide the expression using the quotient rule. (x^10/x^8)

x^2

Divide the expression using the quotient rule. ((x^8 y^6)/x^4 y^3)

x^4 y^3

Solve the equation. 8y + 4(6 + y) = 3(y - 4) + 10y

y = 36

Simplify the exponential expression. (-4x^5 y^-6)(2x^-1 y)

((-8x^4)/y^5)

Simplify the expression using the quotients-to-powers rule. ((4p^2 v^3)/s^4)^4

((256p^8 v^12)/s^16)

Simplify the expression using the quotients-to-powers rule. ((m^4)/q^5)^6

((m^24)/q^30)

Simplify the expression using the products to powers rule. (5x^-7 y^8 z^-5)^-3

((x^21 z^15)/125y^24)

Simplify the exponential expression. ((6x^-3 y^-3 z^4)/2xy^-3 z^-4)^-2

((x^8/9z^16)

Write the expression with positive exponents only. Then simplify, if possible. (-4)^-2

(1/16)

Write the expression with positive exponents only. Then simplify, if possible. 3^-2

(1/9)

Simplify the expression using the power rule. (x^4)^-9

(1/x^36)

Write the expression with positive exponents only. Then simplify, if possible. 3x^-8 y^2

(3y^2/x^8)

Write the expression with positive exponents only. Then simplify, if possible. (x^-3/y^-5)

(y^5/x^3)

Evaluate the expression for the given values. 3x - y, for x=9 and y=5

22

Evaluate the expression for the given values. 7x^2 + 5y, for x=8, y=3

463

Multiply the expression using the product rule. (-9x^4 y)(-9x^2 y^3)

81x^6 y^4

The sum of the angles of a triangle is 180*. Find the three angles of the triangle if one angle is three times the smallest angle and the third angle is 45* greater than the smallest angle.

Angle 1 = 81* Angle 2 = 27* Angle 3 = 72*

Determine whether the inequality is true or false. -2 < -3

False

-5 < (1/8)

True

Determine whether the inequality is true or false. -75 < 0

True

The length of a rectangular room is 5 feet longer than twice the width. If the room's perimeter is 214 feet, what are the room's dimensions?

W = 34ft L = 73ft

-7x - 10 = 5 - 3x

x = (15/-4)

Solve the equation. -7x - (7x + 5) = -10

x = (5/14)

Solve the equation. ((x + 8)/5) = (31/20) - ((x - 2)/4)

x = 1

Solve the equation. 3x + 5 = 35

x = 10

Solve the equation. -4 = 4(x - 9) - (3x - 2)

x = 30

When 60% of a number is added to the number, the result is 64. What is the number?

x = 40

Solve the equation. 0.60x - 0.20(80 + x) = 0.05(80)

x = 50