unit test review math
y = 5x + 2 3x = -y + 10 What is the solution to the system of equations?
(1, 7)
Which point is a solution to the linear inequality y < x + 2?
(3, -2)
The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. Which solution can be used to fill in both blanks in the table?
(5, 2)
The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5. Which solution can be used to fill in both blanks in the table?
(6, 7)
Which statements are true about the graph of the system of linear inequalities? Check all that apply. y > 3x - 4 y < x + 1 The graph of y > 3x − 4 has shading above a dashed line. The graph of y < x + 1 has shading below a dashed line. The graphs of the inequalities will intersect. There are no solutions to the system. The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).
1 AND 3
Ori needed at least $1.47 in postage to mail an envelope to his cousin overseas. If x represents the number of $0.44 cent stamps he has and y represents the number of $0.10 cent stamps he has, the inequality representing the number of stamps he can use to mail the envelope is 0.44x + 0.10y ≥ 1.47. If Ori uses all 3 of the $0.44 cent stamps he has, what is the minimum number of $0.10 stamps he needs to use?
2
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?
24
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? Sydney must have answered at least 8 questions correctly in the second section of the test.
8
Which ordered pairs are in the solution set of the system of linear inequalities? y > x + 2 y < 2x + 3
A
Which shows the graph of the solution set of 2x - y > 5?
A
2x + 4y = 12 y = x - 3 What is the solution to the system of equations? (-1, 8) (8, -1)
B
The solution to the system of equations shown is (2, 0). 3x − 2y = 6 x + 4y = 2 When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14 . Which system of equations will also have a solution of (2, 0)? 6x - 4y = 6 x + 4y = 2 6x − 4y = 6 2x + 8y = 2 x + 4y = 2 7x = 14 6x − 4y = 6 7x = 14
C
What is the solution to the system of equations? y = 2x - 3.5 x - 2y = -14 (-7, 3.5) (3.5, -7) (7, 10.5) (10.5, 7)
C
Which shows the graph of the solution set of 6x + 3y ≤ 12?
C
2x + 4y = 12 y = x - 3 What is the solution to the system of equations? (-1, 8) (8, -1)
D
Which description of the graph of the linear equality 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 below the line. The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded above the line. The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded below the line. 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.
D
Which linear inequality is graphed with y > -x - 2 to create the given solution set? y > x + 1 y < x - 1 y > x - 1 y < x + 1
D
Which linear inequality is represented by the graph? y > 2x + 3 y < 2x + 3 y > −2x + 3 y < −2x + 3
D
Which linear inequality is represented by the graph?
y <2/3 x - 1
