Explore BrainMass

Explore BrainMass

    13 Algebra Problems : Inequalities, Systems of Equations and Word Problems

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please see the attached file for the fully formatted problems.

    1.) Graph the inequality on a plane.
    3x + 4y ≤ 12

    2.) Determine whether the ordered pair is a solution of the inequality.
    (4, 13); 5y - 6x > 4
    Is the ordered pair a solution? Yes or No

    3.) Miguel's insurance company will replace his car if repair costs exceed 80% of the car's value. The car recently sustained $9600 worth of damage, but it was not replaced. What was the value of his car?
    4.) Solve by the substitution method.
    2m + n =2
    M - 9n =77
    What is the solution of the system? (Type an ordered pair. Type N if there is no solution.)
    5.) The perimeter of a rectangle is 96 m. The length is 3 m. Find the dimensions.
    What is the length? __m (Simplify your answer.)
    What is the width? __m (simplify your answer.)
    6.) Solve.
    6(r - 7) + 2 > 7(r + 2) - 24
    The solution set is {r|r __ __}. (Type an inequality symbol, then type an integer or a fraction.)
    7.) A cellular phone company offers a contract for which the cost C, in dollars, of t minutes of telephoning is given by C=0.25(t - 300) + 67.95, where it is assumed that t ≥ 300 minutes. What times will keep costs between $112.45 and $131.95?
    For the cost to be between $112.45 and $131.95, the telephoning time must be between __ minutes and __ minutes.
    8.) Solve the system by the elimination method.
    5x + 5y = -11
    7x - 2y = 17
    What is the solution of the system? (Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)
    9.) Solve.
    9/10(3 + 8x) + 3 ≥ 15
    The solution is {x|x__ __}. (simplify your answer. Type an inequality symbol; then type an integer or a fraction.)
    10.) Solve by the elimination method.
    0.3x - 0.2y = 4
    0.2x + 0.3y = 5/23
    What is the solution of the system? ____(Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)
    11.) Snookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out twice as many units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $50 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $13390?
    Snookers lumber must produce and sell ___units of lumber and ___units of plywood to make a profit of $13390.
    12.) Solve.
    3y - 1 < 8y - 2
    Use set builder notation to describe the complete solution.
    {y|y__ __} (Type an inequality symbol, then type an integer or a fraction.)
    13.) Two angles are complimentary. The sum of the measure of the first angle and one-fourth the second angle is 81 degrees. Find the measures of the angles.
    What is the measure of the smaller angle? ____degrees
    What is the measure of the other angle? ____degrees

    © BrainMass Inc. brainmass.com March 4, 2021, 9:05 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/13-algebra-problems-inequalities-systems-of-equations-and-word-problems-216886

    Attachments

    $2.49

    ADVERTISEMENT