QUESTIONS
Question 1
Solve the following system of equations.
{x = −4y + 6
{2x + 3y =−3
Enter the solution as an ordered pair (x,y). Include parentheses in your answer.
Question 2
Solve the following system of equations.
{x= −y −9
{5x−6y=−1
Write your answer as an ordered pair in the form (x,y).
Question 3
Amara currently sells televisions for company A at a salary of $17,000 plus a $100 commission for each television she sells. Company B offers her a position with a salary of $29,000 plus a $20 commission for each television she sells. How many televisions would Amara need to sell for the options to be equal?
Question 4
The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles.
Question 5
Solve the following system of equations.
{x=−3y−75x+6y=−8
Write your answer as an ordered pair in the form (x,y).
Question
Solve the following system of equations.
{x= 2y + 8
{3x−2y=0
Write your answer as an ordered pair in the form (x,y).
Question 7
Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56 miles per hour. Half an hour later, Tina left Riverside in her car on the same route as Stephanie, driving 70 miles per hour. Solve the system
{56s = 70t
{s = t + 1/2
for t to find the value of s, the number of hours Stephanie will have driven before Tina catches up to her.
Question 8
The perimeter of a rectangle is 212. The length is 16 more than 5 times the width. Find the dimensions.
ANSWERS:
Question 1
Solve the following system of equations.
{x = −4y + 6
{2x + 3y =−3
Enter the solution as an ordered pair (x,y). Include parentheses in your answer.
Answer: (−6, 3)
Question 2
Solve the following system of equations.
{x= −y −9
{5x−6y=−1
Write your answer as an ordered pair in the form (x,y).
Answer: (−5, −4)
Question 3….
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