Warm Up # 2 Quarterly Assessment 2

x < -7 x > 9 2/3 x < 8 10/11 x > 15 x < -3 Warm UP #1 Solve. a)7x + 14 < -35 b) 6x - 21 > 37 c) 11x + 35 < 133 d) 15x - 35 > 190 e) -13x + 55 > 94 x < -7 x > 9 2/3 x < 8 10/11 x > 15 x < -3

x < -14 x > 10 x < 14 x > 15 x < -6 Warm UP #1B Solve. a)7x + 14 < -84 b) 6x - 21 > 39 c) 7x + 35 < 133 d) 15x - 55 > 170 e) -6x + 58 > 94 x < -14 x > 10 x < 14 x > 15 x < -6

Warm Up # 2 Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 60 miles per hour(mph). The southbound train traveled at an average rate of 40 mph. After how many hours will the trains be 400 miles apart? 1) Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 70 miles per hour(mph). The southbound train traveled at an average rate of 50 mph. After how many hours will the trains be 600 miles apart? 4 Hours 5 Hours

Warm Up # 2B Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 50 miles per hour(mph). The southbound train traveled at an average rate of 40 mph. After how many hours will the trains be 270 miles apart? 1) Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 80 miles per hour(mph). The southbound train traveled at an average rate of 50 mph. After how many hours will the trains be 390 miles apart? 3 Hours 3 Hours

Warm Up # 3 1)Which equation has a slope of 3 and contains (2, –3)? A) x + 2 = 3(y – 3) B) y + 3 = 3(x – 2) C) x – 2 = 3(y – 3) D) y – 2 = 3(x + 3) 2)Which equation has a slope of 5 and contains (2, 1)? A) y – 1 = 5(x – 2) B) x – 2 = 5(y – 1) C) y + 1 = 5(x + 2) D) x – 2 = 5(y + 1) 3)Which equation has a slope of 4 and contains ( –3, –4)? A) y + 4 = 4(x – 3) B) y + 4 = 4(x + 3) C) y – 4 = 4(x – 3) D) y – 4 = 4(x + 3) B A B

Warm Up # 3B 1)Which equation has a slope of 3 and contains (-3, 1)? A) y + 1 = 3(x – 3) B) x + 1 = 3(y + 3) C) x – 1 = 3(y – 3) D) y – 1 = 3(x + 3) 2)Which equation has a slope of 5 and contains (2, 3)? A) x + 3 = 5(y – 2) B) y – 3 = 5(x – 2) C) x + 3 = 5(y + 2) D) y – 3 = 5(x + 2) 3)Which equation has a slope of 4 and contains ( –4, –5)? A) y + 5 = 4(x – 4) B) y + 5 = 4(x + 4) C) y – 5 = 4(x – 4) D) y – 5 = 4(x + 4) D B B

Warm Up # 4 The graph of which equation has a slope of ¼ and contains the point (–4, 3)? y +3 = ¼ (x – 4) b) y – 3 = ¼ (x – 4) c) y + 3 = ¼ (x + 4) d) y – 3 = ¼ (x + 4) 2) The graph of which equation has a slope of ¼ and contains the point (5, -2)? y +2 = ¼ (x – 5) b) y – 2 = ¼ (x – 5) c) y + 2 = ¼ (x + 5) d) y – 2 = ¼ (x + 5) D A

Warm Up # 4B The graph of which equation has a slope of ½ and contains the point (–8, 3)? y + 3 = ½ (x – 8) b) y – 3 = ½ (x – 8) c) y + 3 = ½ (x + 8) d) y – 3 = ½ (x + 8) 2) The graph of which equation has a slope of ¾ and contains the point (5, -6)? y +6 = ¾ (x – 5) b) y – 6 = ¾ (x – 5) c) y + 6 = ¾ (x + 5) d) y – 6 = ¾ (x + 5) D A

Warm Up # 5 What is the point of intersection of the lines represented by the equations below?

Warm Up # 5B What is the point of intersection of the lines represented by the equations below?

Warm Up # 5C

Warm Up # 6 Which of the following inequalities is equivalent to –4(4x + 9) < 24? A) 16x + 9< 24 B) -16x + 9< 24 c) -16x – 36 < 24 2) What is the solution for x in the following inequality? 29 – 2x > 5 + 2x 3) José is going to a concert at the Staples Center. Tickets cost $35 each. Parking is $25. If José can spend no more than $105, how many tickets can he buy? Choose the inequality that models this situation. A) 35x + 25 ≤ 105 B) 35x + 25 < 105 C) 35x + 25 > 105

Warm Up # 6B Which of the following inequalities is equivalent to –4(5x + 9) < 24? A) 20x + 9< 24 B) -20x + 36 < 24 c) -20x – 36 < 24 2) What is the solution for x in the following inequality? 69 – 2x > 19 + 3x 3) José is going to a concert at the Staples Center. Tickets cost $55 each. Parking is $35. If José can spend no more than $105, how many tickets can he buy? Choose the inequality that models this situation. A) 55x + 35 ≤ 105 B) 55x + 35 < 105 C) 55x + 35 > 105

Warm Up # 6C Which of the following inequalities is equivalent to –4(7x + 9) < 24? A) 28x + 9< 24 B) -28x + 36 < 24 c) -28x – 36 < 24 2) What is the solution for x in the following inequality? 80 – 2x > 15 + 3x 3) José is going to a concert at the Staples Center. Tickets cost $95 each. Parking is $35. If José can spend no more than $105, how many tickets can he buy? Choose the inequality that models this situation. A) 95x + 35 ≤ 105 B) 95x + 35 < 105 C) 95x + 35 > 105

Warm Up # 7 7,-7 12,-18 17,-23 7,-7 Solve the following…. |m + 3| = 15 c) | 5x | = 35 |x + 3| = 20 d) | 4x | = -28 2) Solve the absolute value equations. 7,-7 12,-18 17,-23 7,-7

Warm Up # 7B 18,-18 18,-24 22,-48 14,-14 Solve the following…. |m + 3| = 21 c) | 5x | = 90 |x + 13| = 35 d) | 4x | = -56 2) Solve the absolute value equations. 18,-18 18,-24 22,-48 14,-14

Warm Up # 7C Solve the following…. |m + 7| = 21 c) | 5x | = 120 |x + 33| = 35 d) | 4x | = -116 2) Solve the absolute value equations.

Warm Up # 7D a)7x + 14 < -84 b) 6x - 21 > 39 X < -14 X >10 Solve and Line Graph. a)7x + 14 < -84 b) 6x - 21 > 39 c)Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 60 miles per hour(mph). The southbound train traveled at an average rate of 40 mph. After how many hours will the trains be 400 miles apart? Warm Up # 7D X < -14 X >10 4 Hours

Warm Up # 7E a)9x + 27 < -126 b) 6x - 36 > 108 X < -17 Solve and Line Graph. a)9x + 27 < -126 b) 6x - 36 > 108 c)Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 50 miles per hour(mph). The southbound train traveled at an average rate of 40 mph. After how many hours will the trains be 810 miles apart? Warm Up # 7E X < -17 X > 24 9 Hours

Warm Up # 8 Solve the following…. |m + 3| < 21 c) | 5x | > 90 |x + 13| < 35 d) | 4x | > -56 2) Solve the following….

Warm Up # 8B Solve the following…. |m + 3| < 21 c) | 5x | > 90 |x + 13| < 35 d) | 4x | > -56 2) Solve the following….

Warm Up # 8C Solve the following…. |m + 9| < 21 c) | 10x | > 90 |x + 43| < 35 d) | 2x | > -56 2) Solve the following….

Warm Up # 9 The graph of which of the following equations is parallel to the graph of 7x + y = 2? 2) What is the slope of a line that is perpendicular to the graph of y +4 = 3 − ¼ x ? 3) Graph the following A) B)

Warm Up # 9B The graph of which of the following equations is parallel to the graph of 8x + y = 2? 2) What is the slope of a line that is perpendicular to the graph of y +4 = 3 − ½x ? 3) Graph the following A) B)

Warm Up # 9C The graph of which of the following equations is parallel to the graph of 5x + y = 2? 2) What is the slope of a line that is perpendicular to the graph of y +4 = 3 − 5/6x ? 3) Graph the following A) B)

Warm Up # 10 The sum of integers x and y is 160. If x was divided by 7, the result would be y. What is the value of x? The sum of integers x and y is 144. If x was divided by 7, the result would be y. What is the value of x? Solve the following 2 problems. X = 140 X = 126 B A

Warm Up # 10B The sum of integers x and y is 240. If x was divided by 7, the result would be y. What is the value of x? The sum of integers x and y is 128. If x was divided by 7, the result would be y. What is the value of x? Solve the following 2 problems. X = 210 X = 112 A B

Warm Up # 10 C The sum of integers x and y is 176. If x was divided by 7, the result would be y. What is the value of x? The sum of integers x and y is 104. If x was divided by 7, the result would be y. What is the value of x? Solve the following 2 problems. X = 154 X = 91 B A

Warm Up # 10 D The sum of integers x and y is 184. If x was divided by 7, the result would be y. What is the value of x? The sum of integers x and y is 128. If x was divided by 7, the result would be y. What is the value of x? Solve the following 2 problems. X = 161 X = 112 B A

Warm Up # 10 E The sum of integers x and y is 168. If x was divided by 7, the result would be y. What is the value of x? The sum of integers x and y is 120. If x was divided by 7, the result would be y. What is the value of x? Solve the following 2 problems. X = 147 X = 105 B A

Warm Up # 11: Just Solve 1) Which graph can be used to find the solution of this system of equations? 2) Which graph can be used to find the solution of

Warm Up # 11B: Just Solve 1) Which graph can be used to find the solution of this system of equations? 2) Which graph can be used to find the solution of

Warm Up # 11C: Just Solve Which graph can be used to find the solution of this system of equations? 2) Which graph can be used to find the solution of this system of equations?

Warm Up # 11D: Just Solve 1) Which graph can be used to find the solution of this system of equations? 2) Which graph can be used to find the solution of

Warm Up # 11E: Just Solve 1) Which graph can be used to find the solution of this system of equations? 2) Which graph can be used to find the solution of

Warm Up # 12 1) Which of the following graphs represents the region defined by the inequality y > 3x – 2? Just Graph the following: 2) y < 2x + 1 3) y + 3x > 3 4) y – x < 5

Warm Up # 13 1) Which of the following points is in the solution set of this system of inequalities?

Warm Up # 14 1)How many milliliters of a 20% acid solution should Paul mix with a 60% acid solution to make 100 milliliters of a 40% acid solution? 2)How many milliliters of a 20% acid solution should Paul mix with a 50% acid solution to make 100 milliliters of a 20% acid solution? 3)How many milliliters of a 10% acid solution should Paul mix with a 30% acid solution to make 100 milliliters of a 25% acid solution? X = 50 X = 75 X = 25

Warm Up # 15 Which of the following equations is graphed below? In other words just write the equation.

Warm Up # 15B Which of the following equations is graphed below? In other words just write the equation.

Warm Up # 16 Draw the graph of the equation 5x + 2y = 20 on the grid below. Mark and label the x-intercept and the y-intercept of the graph on your drawing. Compute the x-intercept and y-intercept algebraically and justify your solution steps. Write the ordered pairs (x, y) for both the x-intercept and the y-intercept of the graph.

Please be Seated and be ready to do your worksheet. Take out your Homework! Please be Seated and be ready to do your worksheet.