Warm Up: You have 15 min. to answer the following questions 1. Solve 9 ≤ 4x – 19 < What is the standard form of the equation of the line through (0, -4) with slope 3/7? 3. Write the equation of a line through the points (- 2, 14) and (2, 26). 4. Solve by substitution AND by elimination: If x = 3y + 2 and 2x – 4y = 10, what is the value of y? 5. The sum of two numbers is 45. Three times the first number minus twice the second number is What are the two numbers?

1. Solve 9 ≤ 4x – 19 < 17

2. What is the standard form of the equation of the line through (0, -4) with slope 3/7?

3. Write the equation of a line through the points (-2, 14) and (2, 26).

4. Solve by substitution AND by elimination: If x = 3y + 2 and 2x – 4y = 10, what is the value of y?

5. The sum of two numbers is 45. Three times the first number minus twice the second number is -15. What are the two numbers?

Trashketball I will assign your team. You will work each question on your whiteboards. Everyone in the group must hold up the correct answer (with work) in order for you to earn a point. Each time you earn a point, you will have an opportunity to shoot for extra points. Remember: this is a competition! You don’t want to give answers away, so be sure to talk quietly and keep your boards down until I ask you to put them up. Extra credit is at stake!

Solve x / 4 – 7 = 11 Answer: 72

Which verbal sentence below matches 2(x – 5) = 4? a. 5 less than 2 times x is 4 b. 2 multiplied by x less than 5 equals 4 c. twice the difference of x and 5 is 4 d. the product of 2 and x, decreased by 5 equals 4 Answer: c. Twice the difference of x and 5 is 4

In which quadrant does the graph of (2, -5) lie? A. IVB. II C. IIID. I Answer: A. IV

Name the quadrants that contain points A, B, and C in the graph below. Answer: A. I B. II C. IV

Find the domain of y = 4x if the range is {20, 12, 4, -4}. A. {80, 48, 16, -16} B. {20, 12, 4, -4} C. {5, 3, 1, -1} D. {5, 4, 3, 2} Answer: C.

On the coordinate planes below, draw a graph that is a function, and draw a graph that is NOT a function Answer: Various answers could work.

Solve b = 2c – 3 if the domain is {-4, -1, 0, 4}. A.{-8, -2, 0, 8}B.{1, 2, 3, 4} C.{5, -1, -3, 5}D.{-11, -5, -3, 5} Answer: D

A direct variation equation has x = 5 when y = -10, find x when y = 12. Answer: x = -6

Translate the sentence into a formula. The surface area of a cylinder is equal to two times the sum of the radius squared and the height. Answer: A = 2(r 2 + h)

Line segment has endpoints A(2, 5) and B(-3, 7). Line segment has endpoints C(-1, -8) and D(4, -6). Is line AB perpendicular to line CD and why? A. Yes, the slopes are negative reciprocals. B. No, the lines are parallel. C. No, the lines intersect but not at right angles. D. Yes, the slopes are opposites. Answer: C.

Graph on the number line below the solution to the inequality 2x + 3 ≥ 4x – 5 Answer: Students should shade to the left of 4 with a filled in circle.

Solve -3(y + 6) 2}B.{y | y -2}D.{y | y < -2} Answer: D.

Solve 5x + 6 > 31 or –3x – 5 ≤ 4. Answer: x > 5 or x ≥ -3, so final answer: x ≥ -3

Which system of inequalities is graphed below? Answer: a a. y > 2xb. y < 2x y ≥ x y ≤ x c. y ≥ 2xd. y ≤ 2x y > x

Which point is not in the solution set of y < -3x + 5 and y ≥ 2x – 5 A. (-4, -5) B. (-2, 8) C. (0, 0) D. (4, -3) Answer: D

Use elimination to solve the system 4x – 9y = 35 and 3x + 5y = -9 for y. Y = -3

A scale drawing of a room has a scale of 1.5 inches = 2.25 feet. How long is a couch that is 9 inches in the scale drawing? 13.5 feet

What is the standard form of 4x + 5y = 37

Find the slope-intercept form of the equation of the line that passes through (-2, 3) and is parallel to 28x – 4y = 10. Y = 7x + 17

If line q has a slope of -5/9, what is the slope of any line perpendicular to q? M = 9/5

Use elimination to solve the system x + 6y = 26 and 3x – 7y = -47 for x. X = -4

Write an inequality for the solution set shown in the graph. X > 1 Y > -x + 2

What would the slope of a line parallel to the graph of y = (6/7)x be? 6/7

Name the best method to solve each of the following systems of equations a) 4x + 3y = 6b) y = 2x – 7c) 7x – 9y = 13 2x – 5y = 11 y = -3x + 10 x = y + 2 Elimination Graphing Substitution

In a coin bank the number of quarters (q) exceeds the number of pennies (p) by 7. If there are 32 coins in all, write two equations to represent this situation? Q = P + 7 Q + P = 32

Write the equation of a line through the points (-2, 14) and (2, 26). Y = 3x + 20

What is an equation of a line that is perpendicular to the graph of 2y + 4x = 4 and passes through (8, –9)? Y = ½x + 13

Bob paid $1.90 for 6 pencils and 4 pens. Mark paid $2.45 for 8 pencils and 5 pens. How much does one pencil cost? $0.15

What are the x-intercept and y-intercept of the graph of 4x – 8y = –24? (-6, 0) & (0, 3)

The formula A = lw finds the area of a rectangle. What is the width of a rectangle whose area is 80 square inches and whose length is 5 inches? W = 18 inches