Simplify the expression 4a+5b-a+2c-7b-c
3a-2b+c
What is the rate of change in the following equation: y=3.5x+9
3.5
How do you find slope from a table?
change in y/change in x or y2-y1/x2-x1
Solve the following equations:
y=-2/3x-13
y=x+7
(-12, -5)
Pranav's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 senior citizen tickets and 5 student tickets for a total of $131. The school took in $141 on the second day by selling 9 senior citizen tickets and 6 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Senior = $9
Student = $10
(9, 10)
What is the solution to 6x=72
x=12
Find the rate of change of 5x-3y=16
5/3
What equation can you put into desmos to find slope from a table?
y1~mx1+b
Find the solution to the system of equations:
y=3x+24
10x+2y=-16
(-4, 12)
Ted and DeShawn each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Ted spent $212 on 12 rose bushes and 13 geraniums. DeShawn spent $105 on 9 rose bushes and 3 geraniums. Find the cost of one rose bush and the cost of one geranium.
Rose bush = $9
Geranium = $8
(9, 8)
Solve for q in the following equation: -102=2(7q-2)
-7
What makes two lines parallel in terms of their slope?
Slopes must be the same
Find the rate of change from the table
x: -2|-1|0|1|2
y: 2|2.5|3|3.5|4
1/2 or 0.5
Find the solution to the equations:
x-3y=-15
x+3y=-3
(-9, 2)
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 5 buses with 217 students. High School B rented and filled 6 vans and 4 buses with 206 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Vans = $9
Bus = $38
(9, 38)
What is the solution to -39+8r=7(3+4r)
-3
What makes two lines perpendicular in terms of their slope?
Their slopes are a negative reciprocal
Write an equation in slope intercept form from the following table:
x: -1|3|5|6|9
y: -0.5|-10.5|-15.5|-18|-25.5
y=-5/2x-3
Solve for x in the following equations:
21x-2y=6
21x-2y=-6
No solution
DeShawn and Carlos each improved their yards by planting rose bushes and shrubs. They bought their supplies from the same store. DeShawn spent $128 on 3 rose bushes and 14 shrubs. Carlos spent $118 on 2 rose bushes and 14 shrubs. What is the cost of one rose bush and the cost of one shrub?
Rose bush = $10
Shrub = $7
(10, 7)
Solve for p in the following equation: -8p-5(6+3p)=-4(2+3p)
-2
Convert this equation to slope-intercept form: 3x-4y=13
y=3/4x-13/4
From the table, write an equation in point slope form.
x:10|12|15|21|25
y: 0.5|0|-0.75|-2.25|-3.25
y-0.5=-1/4(x-10)
0. -12
+0.75. -15
+2.25. -21
+3.25. -25
Solve for y in the following equations:
23x+8y=-72
x-8y=-120
14
Alberto and Daniel are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Alberto sold 4 bags of windflower bulbs and 13 bags of daffodil bulbs for a total of $145. Daniel sold 10 bags of windflower bulbs and 12 bags of daffodil bulbs for a total of $178. Find the cost each of one bag of windflower bulbs and one bag of daffodil bulbs.
Windflower = $7
Daffodil = $9
(7, 9)