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WorksheetsLinear Equations Study Guide (8)
Total questions: 23
Worksheet time: 45mins
19 - ( 3 - 5b)
Which expression represents the perimeter of the rectangle?
6x + 22
6x + 11
12x + 22
12x + 11
33 = 4a - 7
(a)
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
7x+6=331
13x=331
6x+7=331
331-7=6x
Solve the equation for x:
8x - 6x + 4 + 5 = 19
(a)
-11 + 3(b + 5) = 7
(a)
8v - 4(v + 8) = 8
(a)
Solve:
7w + 5 = 3w - 15
(a)
Solve for x:
4(1-x) + 3x = -2(x+1)
(a)
Solve:
2(4x-3) - 8 = 4 + 2x
(a)
Solve the equation:
-8x - 8 + 3(x-2) = -3x + 2
(a)
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. Which equation could you use to see when the two companies would charge the same amount?
18x = 22x
3x + 15 = x + 21
15x + 3 = 21x + 1
3x + 15 + 21x = 1
Solve
(a)
Solve:
5x + 4 = 5x − 3
x = 4
x = -3
all real numbers
no solutions
Solve:
2y − 3 = 2y − 3
y = 0
y = -3
all real numbers
no solution
Solve:
10x + 3 + 3x = 5x + 1 + 8x + 2
x = -3
x = 3
all real numbers
no solution
4(x + 4) = 4x + 25
All Real Numbers
No Solution
x=2
x=-1
6n + 5(2n - 6) = 6n - 30
all real numbers
No Solution
WRITE AN EQUATION TO REPRESENT THE SITUATION
Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game.
2 + 7.50x = 8 + 6x
2 - 7.50x = 8 - 6x
2x + 7.50 = 8x + 6
2x - 7.50x = 8 x- 6
WRITE AN EQUATION TO REPRESENT THE SITUATION
Kimberly takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus.
2.50 + x = 15x
2.50x = 15x + 1
2.50x = 15 + x
2.50x = 15x
Write an equation for the situation:
"46 less than -8 times a number is the same as 8 less than -6 times a number"
46- -8x=8- -6x
46-8-x=8-6-x
-8x-46=-6x-8
46-8x=8-6x
The perimeter of the rectangle is 26 mm. Find the value of n.
(a)
