Solving Systems of Equations - Substitution (Lesson 11)
This is like #1 on your test!
y = x - 2
y = 2x - 1
A.) (1,3)
B.) (-1,3)
C.) (1,-3)
D.) (-1,-3)
D.) (-1,-3)
This is similar to questions 4, 5, and 7 on your test!
x + y = 4
x - y = 2
A.) (1,3)
B.) (-1,-3)
C.) (3,1)
D.) (-3,-1)
C.) (3,1)
This is similar to question 9 on your test!
If you have > inequality symbol, what kind of a circle and which direction will you shade on a number line?
A.) Open to the left
B.) Open to the right
C.) Closed to the left
D.) Closed to the right
B.) Open to the right
This is similar to question 12 on your test!
What will the graph look like for y > -2x + 1
A.) Dotted line, shaded below
B.) Dotted line, shaded above
C.) Solid line, shaded below
D.) Solid line, shaded above
B.) Dotted line, shaded above
This is like question 15 and 16 on your test!
Which ordered pair is the solution to the system of inequalities?
y < 3x - 4
y > -2x + 3
A.) (4,5)
B.) (-4,5)
C.) (4,-5)
D.) (-4,-5)
A.) (4,5)
This is similar to question #2 on your test!
3x - 3y = 6
y = 2x - 4
A.) (0,2)
B.) (2,0)
C.) (0,-2)
D.) (-2,0)
B.) (2,0)
This is similar to questions 4, 5, and 7 on your test!
2x - 3y = -1
4x + 3y = -5
A.) (1, -1/3)
B.) (-1, 1/3)
C.) (1, 1/3)
D.) (-1, -1/3)
D.) (-1, -1/3)
This is similar to question 8 on your test!
What is the solution to the inequality?
3x - 4 < 4x - 5
A.) x < 1
B.) x > 1
C.) x < -1
D.) x > -1
B.) x > 1
This is similar to question 13 on your test!
This represents Lamont's height. h > 1/5w + 4.
A.) Lamont's height is greater than the initial height of 4 feet tall and grows at a rate of 1/5 foot per week.
B.) Lamont's height is greater than the initial height of 1/5 feet tall and grows at a rate of 4 foot per week.
C.) Lamont's height is less than the initial height of 4 feet tall and grows at a rate of 1/5 foot per week.
D.) Lamont's height is less than the initial height of 1/5 feet tall and grows at a rate of 4 foot per week.
A.) Lamont's height is greater than the initial height of 4 feet tall and grows at a rate of 1/5 foot per week.
This is like question 17 on your test!
Lynnette wants to plant daisies and lilies in her yard. If she would like to plant no more than 70 of those flowers, but she wants to plant at least 30 lilies. which of the following systems of inequalities represents that situation? Let d=number of daisies and l=number of lilies.
A.) d+l > 70; l > 30
B.) d+l < 70; l < 30
C.) d+l > 70; l < 30
D.) d+l < 70; l > 30
D.) d+l < 70; l > 30
This is similar to question #6 on your test!
Write the system of equations. Do not solve.
Chad and Tim are brothers. The sum of their ages is 32. Chad is 6 years younger than Tim. How old is each brother?
A.) C+T=32; C=T-6
B.) C+T=32; C+T=6
C.) C+T=32; C=6-T
D.) C+T=32; T=C-6
A.) C+T=32; C=T-6
This is similar to question 6 on your test!
Write the system of equations. Do not solve. At the movies, the price for an adult ticket is $9. The price for a student ticket is $6. On Saturday night, the movie theater sold 100 tickets totaling $840. If a = number of adult tickets and c = number of child tickets, how many of each did they sell?
A.) a+c=100; 6a+9c=840
B.) a+c=840; 9a+6c=100
C.) a+c=100; 9a+6c=840
D.) a+c=840; 6a+9c=100
C.) a+c=100; 9a+6c=840
This is similar to question 10 on your test!
Christy has 2 jobs. She makes $5 per hour babysitting and $11 per hour working at a restaurant. She is scheduled to babysit for 6 hours this weekend. Write an inequality to represent how many hours (h) she will have to work at the restaurant to earn more than $150.
A.) 5h + 11(6) > 150
B.) 5h + 11(6) < 150
C.) 5(6) + 11h > 150
D.) 5(6) + 11h < 150
C.) 5(6) + 11h > 150
This is similar to question 12 on your test!
What will the graph look like for y < 2x - 1
A.) Dotted line, shaded below
B.) Dotted line, shaded above
C.) Solid line, shaded below
D.) Solid line, shaded above
C.) Solid line, shaded below
This is like questions 15, 16 on your test!
x<0 and y<0 would be all answers in what quadrant?
A.) Quadrant I
B.) Quadrant II
C.) Quadrant III
D.) Quadrant IV
C.) Quadrant III
This is similar to question #3 on your test!
3x - y = 6
x = 2y - 4
A.) (16/5, 18/5)
B.) (18/5, 16/5)
C) (-16/5, -18/5)
D.) (-18/5, -16/5)
A.) (16/5, 18/5)
This is similar to questions 4, 6, and 7 on your test!
5x + 3y = 9
-4y + 2x = 14
A.) (3,2)
B.) (-3,2)
C.) (3,-2)
D.) (-3,-2)
C.) (3,-2)
This is similar to question 11 on your test!
Janeisha wants to paint her room and her sister's room. She will need will need more than 10 gallons of paint. She already has 3 gallons. 2 stores carry the color that she is looking for. Each store only has only 4 gallons. 4x + 3 > 10 ... x > 7/4 ... x > 1.75. How many gallons will she have to buy?
A.) 1
B.) 1.75
C.) 2 or more
C.) 2 or more
This is similar to question 14 on your test!
Tamara goes on a shopping spree but she has to spend less than the $100 her parents gave her. She goes to Old Navy where all of her style of shirts (s) are $6 and jeans (j) are $19. What is the inequality to represent this situation?
A.) 6s + 19j < 100
B.) 19s + 6j < 100
C.) 6s - 19j < 100
D.) 19s - 6j < 100
A.) 6s + 19j < 100
This is like question 18 on your test!
If t-shirts sell for $9 and sweatshirts sell for $19, how many t-shirts and sweatshirts can I buy for $75 if I want at least 2 t-shirts but no more than 4 sweatshirts?
A.) 1 t-shirt, 5 sweatshirts
B.) 2 t-shirts, 4 sweatshirts
C.) 3 t-shirts, 3 sweatshirts
D.) 4 t-shirts, 2 sweatshirts
D.) 4 t-shirts, 2 sweatshirts
This is similar to questions #1-4 on your test!
Solve this system by subtitution.
y = 3x + 4
2x - 4y = -6
(-1, 1)
This is similar to questions 4, 6, and 7 on your test!
Solve this system of equations by elimination.
3x - 2y = 4
-5x + 3y = -2
(-8, -14)
This is similar to question 8 on your test!
Solve this inequality.
-4x - 2 < -3(x-2) + 1
x > -9
This is like question 12 on your test!
Which ordered pairs are solutions to the inequality y < 1/2 x - 4? Select all that apply (3)
A.) (0,0)
B.) (2,2)
C.) (2,-4)
D.) (8,0)
E.) (-1,-7)
F.) (0,-5)
C.) (2, -4)
E.) (-1, -7)
F.) (0, -5)
This is #19 on your test!
Gilbert is baking cookies and brownies for a bake sale. It costs him $3 for every batch of cookies he makes and $4 for every batch of brownies he makes. Each batch of cookies takes 2 hours to make, and each batch of brownies takes 1 hour to make. Gilbert has budgeted a total of $100 for expenses and has allowed himself 45 hours to make the cookies and brownies. He makes a profit of $5 for each batch of cookies, and he makes a profit of $4.50 for each batch of brownies.
The system of inequalities that represents this situation, 3x+4y≤100; 2x+y≤45 is shown graphed in the first quadrant with the number of batches of cookies along the x-axis and the number of batches of brownies along the y-axis. The equation p=5x+4.5y represents the profit (p) that Gilbert makes if he sells all his baked goods.
What combination of baked goods allows Gilbert to maximize his profit?
A.) If Gilbert makes 0 batches of cookies and 25 batches of brownies, he will make a maximum profit of $112.50.
B.) If Gilbert makes 32 batches of cookies and 0 batches of brownies, he will make a maximum profit of $160.00.
C.) If Gilbert makes 16 batches of cookies and 13 batches of brownies, he will make a maximum profit of $138.50.
D.) If Gilbert makes 20 batches of cookies and 44 batches of brownies, he will make a maximum profit of $118.00.
C