Word Problems
My neighbor has both chickens and roosters. He has a total of 31 birds. The number of chickens is ten more than twice the number of roosters. How many chickens does he have? let x = number of chickens?
24 chickens, 7 roosters
Solve the equations below :
y=6x-11
-2x-3y=-7
The solution is
x=2 , y=1
_____ are letters that represent unknown numbers or values .
The correct answer is
Variable
Show the first step of substitution in the equation below:
y=-8x
2x+4y=0
The correct answer is
2x+4(-8)=0
When solving systems of equations algebraically which statement results in Infinitely many solutions?
A) 2=0
B) 3=3
C) 0=2
D) -2=2
Correct answer is
B 3=3
Alfred is four years older than Tina. Together they are 36 years old. How old is Alfred?
Alfred 20 , Tina 16
Solve the equation below :
-3x-3y=3
y=-5x - 17
The solution is
x=-4 , y=3
To get a variable by itself on one side of the equation you must what ?
Isolate it
Show the second step of substitution in the equation below:
6x+7y=20
y=2x
The correct answer is :
6x+14=20
When solving systems of equations algebraically which statement results in one solution? Choose all that applies .
A)x=12
B) x=-4
C)x=0
D) -3=x
Correct answers are
A)x=12
C)x=0
D)-3=x
The number of nails in the bucket is 50 less than twice the number of screws. Together, there are 400 nails and screws in the bucket. How many of each are there?
250 mails , 150 screws
Solve the equation below :
y=5x-7
-3x-2y=-12
The solution is
x=2 , y=3
A Phrase that can contain variables, numbers, and operation symbols is ?
Expression
y=-2
4x-3y=18
The correct answer is :
(-3,6)
How many solutions?
6x-2y=12
-6+3y=-12
Infinitely many solution
Jonas has three more nickels than dimes. He has 41 coins in all. How many are dimes?
22 nickels, 19 dimes
Solve the equation below :
y=-2
4x-3y=18
The solution is
x=3 , y=-2
To find the values that make the equations true is .
Solve
What is the correct answer to the equation below
option a) (12,4) option b) (4,12)
y=3x
-3x-y=-24
The correct answer is:
option b (4,12)
How many solutions?
2x+4y=8
x+2y=4
No Solution
Pippi sold ten more cups of lemonade than cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?
65 cups of lemonade , 55 cups of iced tea
Solve the equation below :
-7x-2y=-13
x-2y=11
The solution is
x=3 , y=-4
For a system of two linear equations, this is the point of intersection of the lines.
Solve equation by substitution:
x+3y=1
-3x-3y=-15
The correct answer is :
(7,-2)
How many solutions?
3x+y=17
4x-y=18
One Solutions