Assignment:
Q1.) Graph the inequality on a plane.
3x + 4y ≤ 12
Q2.) 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
Q3.) 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?
Q4.) 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.)
Q5.) 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.)
Q6.) 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.)
Q7.) 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.
Q8.) 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.)
Q9.) 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.)
Q10.) 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.)
Q11.) 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.
Q12.) 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.)
Q13.) 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
Provide complete and step by step solution for the question and show calculations and use formulas.