1. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.Which linear inequality is represented by the graph?
y < −2x + 3
2. Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?
h + c ≤ 100
3h + 3.5c ≥ 80
3. A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.
18 + 3x = 24 + 2x
What does x represent?
the number of weeks the bird feeders are filled
4. 2x + 4y = 12
y = 1/4x-3
What is the solution to the system of equations?
(8, –1)
5. Which description of the graph of the linear inequality y > 3x – 8 is correct?
The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line.
6. What is the y-value of the solution to the system of equations?
3x + 5y = 1
7x + 4y = −13
= 2
7. The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x+5y>80.
If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section?
=8
8. A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?
= –y = –2x – 3
9. Heather writes the equations below to represent two lines drawn on the coordinate plane.
–6x + 18y = 0
4x – 12y = 20
After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?
= The equation has no solution; therefore, the system of equations has no solution.
10. What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x − 3y = 17
=4
11. The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68.Which statement describes the amounts the team charged for wrapping gifts?
= The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
12. Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
= On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 5) and (3, 1). Everything to the right of the line is shaded.
13. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.Which point is a solution to the linear inequality y < Negative one-halfx + 2?
=(3,-2)
14. Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.
Shop Shawn used: y=10+3.5x
Shop Dorian used: y=6x
If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? Round to the nearest dollar if necessary.
= 24
15. y = 5x + 2
3x = –y + 10
What is the solution to the system of equations?
=(1,7)
DONT EVEN SAY ANY OF THEM ARE WRONG THEY ARE ALL RIGHT this is just a review for the real test im going to say just take it all in
1. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?
y<−2x+2
y>−2x+2
y<2x−2
y>2x−2
2. The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.
What is the administration fee?
$50
$54
$55
$60
3. Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar per loaf of bread and 0.75 cup of sugar per batch of muffins. Helena has 17 cups of flour and 4.5 cups of sugar available for baking.
Which combination of loaves of bread and batches of muffins could Helena bake?
2 loaves of bread and 4 batches of muffins
3 loaves of bread and 3 batches of muffins
4 loaves of bread and 2 batches of muffins
5 loaves of bread and 1 batch of muffins
4. Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.
w ≥ 0.5l
2l + 2w ≤ 180
What is the maximum length possible for her blanket?
30 inches
45 inches
60 inches
90 inches
5. What is the value of y in the solution to the system of equations?
1/3x + 1/4y = 1
2x – 3y = –30
–8
–3
3
8
6. The graph of a system of inequalities is shown.On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 6, negative 1) and (0, negative 4). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 2, negative 4) and (0, 0). Everything to the left of the line is shaded.Which system is represented by the graph?
y > 2x
x + 2y ≤ –8
y ≥ 2x
x + 2y < –8
y < 2x
x + 2y ≥ –8
y ≤ 2x
x + 2y > –8
7. What is the solution to this system of linear equations?
7x – 2y = –6
8x + y = 3
(–6, 3)
(0, 3)
(1, –5)
(15, –1)
8. Two linear equations are shown.A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.What is the solution to the system of equations?
(7, 4)
(7, StartFraction 13 over 3 EndFraction)
(8, StartFraction 14 over 3 EndFraction)
(9, 7)
9. y
=
5x – 1
–15x – 3y
=
3
How many solutions does this linear system have?
one solution: (0, –1)
one solution: (1, 4)
no solution
infinite number of solutions
10. The system of equations can be solved using linear combination to eliminate one of the variables.
2x − y = −4
→
10x − 5y = −20
3x + 5y = 59
→
3x + 5y = 59
13x = 39
Which equation can replace 3x + 5y = 59 in the original system and still produce the same solution?
2x – y = –4
10x – 5y = –20
7x = 39
13x = 39
11. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2), and (1, negative 1). Everything to the right of the line is shaded.The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution?
(0, 2)
(2, 0)
(1, −2)
(−2, 1)
12. Which value of m will create a system of parallel lines with no solution?y=mx-68x-4y=12 A coordinate grid with one line labeled 8 x minus 4 y equals 12. The line passes through a point at (0, negative 3), (1, negative 1) and a point at (1.5, 0).
-2
-1/2
1/2
2
13. What is the solution to the system of equations?
y = –5x + 3
y = 1
(0.4, 1)
(0.8, 1)
(1, 0.4)
(1, 0.8)
14. On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.Which linear inequality is represented by the graph?
y < Two-thirdsx + 3
y > Three-halvesx + 3
y > Two-thirdsx + 3
y < Three-halvesx + 3
15. A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is considering ordering a certain number of sofas, x, and a certain number of pillows that come in pairs, y. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? 1. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded. 2. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded. 3. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above and to the right of the line is shaded. 4. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above and to the right of the line is shaded.
16. At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?
x + y < 12
x + y > 12
x + y ≤ 12
x + y ≥ 12
17. Which ordered pair is in the solution set of the system of linear inequalities?y > Three-halvesx – 1y < Three-halvesx – 1 On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the right of the line is shaded. The second line has a positive slope and goes through (0, negative 1) and (2, 2). Everything to the left of the line is shaded.
(–5, 2)
(2, 2)
(5, 2)
no solution
18. Anatoliy has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels, n, and the number of quarters, q, Anatoliy has?
n + q = 22
0.05n + 0.25q = 104
n + q = 104
5n + 25q = 22
n + q = 104
0.05n + 0.25q = 22
n + q = 22
5n + 25q = 104
19. A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
20. A coordinate grid with 2 lines. The first line passes through (0, negative 5) and (negative 5, 0). The second line passes through (0, negative 5) and (negative 2, 1).What is the solution to the system of equations?
(5, 0)
(0, 5)
(0, –5)
(–5, 0)
21. A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?
12 ≤ x + y
12 ≥ x + y
12 ≤ 2x + 3y
12 ≥ 2x + 3y
22. Which description of the graph of the linear inequality y ≥ 7x – 4 is correct?
The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.
The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
23. Which ordered pairs make both inequalities true? Select two options. y < 5x + 2y > One-halfx + 1On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
(0, 2)
(1, 2)
(2, –1)
(2, 2)
PLEASE JUST TWO ONLY TWO MY GOODNES
24. On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1.3) and (3, negative 0.3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph?
y ≤ One-thirdx – 1.3
y ≤ One-thirdx – Four-thirds
y ≥ One-thirdx – Four-thirds
y ≥ One-thirdx – 1.3
25. To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?
First equation: 4x − 3y = 34
Second equation: 3x + 2y = 17
The first equation should be multiplied by 2 and the second equation by 3.
The first equation should be multiplied by 2 and the second equation by −3.
The first equation should be multiplied by 3 and the second equation by 4.
The first equation should be multiplied by 3 and the second equation by −4.
9 answers