Solving Multi-Step Equations
Solve the following equation for x:
6x + 5x = -11
x= -1
Solve the following equation for x:
64x +48=-6x -22
x=-1
Solve the following equation for y:
3x + 3y= 9
y= -1x + 3
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Each Pencil Costs $2
Write a system of equations to match the scenario below:
Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.
x is cheese y is mushroom
3x + 4y= 12.50
3x + 2y= 8.50
Solve the following equation for x:
4x + 6 + 3 = 17
x=2
Solve the following equation for x:
32x-32=-5x-32
x=0
Solve the following equation for y:
-1y -5 = 13x
y= -13x -5
The sum of three consecutive numbers is 72. What are the smallest of these numbers?
the smallest number is 23
Write a system of equations to match the following scenario:
The Celluloid Cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. The cinema sold $1470 worth of tickets.
x is adult tickets
y is child tickets
x + y = 150
10.25x + 7.75y= 1470
Solve the following equation for x:
-5x -8(1+7x)=-8
x=0
Solve the following equation for x:
−5(4x − 2) = −2(3 + 6x)
x=2
Solve the following equation for y:
2x + 6y= -3
y= (1/3)x - (1/2)
Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start?
There were 37 boxes to start
Write a system to represent the following scenario:
The sum of two numbers, x and y is 28. When you triple x and subtract it from y it is -4
x + y= 28
y- 3x= -4
Solve the following equation for x:
5(1 + 4x)-2x = -13
x=-1
Solve the following equation for x:
8(1 + 5x) + 5 = 13 + 5x
x= 0
Solve the following for y:
-2y= -12x +18
y= 6x -9
The sum of three consecutive even numbers is 48. What are the smallest of these numbers?
The smallest number is 14
Write a system to represent the following:
The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets.
x be senior y be student
4x + 5y= 102
7x + 5y= 126
Solve the following equation for x:
8x-4(x +8)+10=18
x=10
Solve the following equation for x:
5(2x + 6) = −4(−5 − 2x) + 3x
x=10
Solve the following equation for y:
4x -12= -6y
y= (-2/3)x + 2
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Jill had 40 comic books
Write a system for the following:
two times a number x, plus 4 is equal to 10. Eight subtracted form three times x, is equal to 20.
2x + 4= 10
3x- 8= 20