Solve the system of equations using substitution.
x+2y=10
x=y+1
(4, 3)
What is the solution to the system of equations?
(1, -3)
Brian bought 15 tickets to a movie, where adult tickets cost $6.00 and children tickets cost $4.00. He spent a total of $76. Define two variables and set up a system of equations to determine the number of adult tickets and children tickets Brian purchased. DO NOT SOLVE!
Let a = number of adult tickets
Let c = number of children tickets
a + c = 15
6a + 4c = 76
(Variables may vary)
Simplify
5^3 \cdot 5^8
5^11
Who is the first president of the United States of America?
George Washington
Solve the system of equations using substitution.
3x+2y=35
y=x+5
(11,5)
Graph and solve the system of equations.
y=-3/2x+1
y=1/2x-3
(2, -2)
A jar contains nickels and dimes. There are 20 coins in the jar and the total value of the coins is $1.40. Define two variables and set up a system of equations to determine how many nickels and dimes are in the jar. Do NOT solve!
Let n = number of nickels
Let d = number of dimes
n + d = 20
0.05n + 0.10d = 1.40
Is (2, 10) a solution to the system of equations?
y = 4x + 2
-x + y = 8
Yes
118
Solve the system of equations using substitution.
y=x+3
y=-20x+66
(3, 6)
Graph the equations and identify the solution to the system.
y = -2x + 2
y=1/3x-5
(3, -4)
Roses cost $2.50 each and daisies cost $1.75 each. Mike spent $24.75 to buy a dozen flowers for his mother. The bouquet contained both roses and daisies. Define two variables and set up a system of equations to determine how many of each type of flower there were in the bouquet. Do NOT solve!
Let r = number of roses
Let d = number of daisies
r + d = 12
2.50r + 1.75d = 24.75
Identify how many solutions there are to the system of equations.
y=5x-2
y=5x+7
No Solution
What are the only birds that can fly backward?
Hummingbirds
Solve the system of equations using substitution.
3x+2y=24
x=-2/3y+11
No Solution
Graph the equations and identify the solution to the system. Make sure each equation is in slope-intercept form before graphing!
y=3x
x+y=4
(1, 3)
Mrs. B. bought hamburgers and fries for her students. The hamburgers cost $1.29 each and a bag of fries cost $1.09. She spent a total of $46.42 for 38 items. How many hamburgers and bags of fries did she buy?
Mrs. B. bought 25 hamburgers and 13 bags of fries.
Identify how many solutions the system of equations has.
2x+5y=8
6x+15y=24
Infinite Solutions
Originally, Amazon only sold what kind of product?
Books
Solve the system of equations using substitution.
10x-3y=-25
-2x+y=3
(-4, -5)
Graph the system and identify the solution.
y=5/2x-4
x+y=3
(2, 1)
Gianna has only dimes and quarters in her piggy bank. She has a total of $62.20, and a total of 454 coins. How many dimes and quarters does she have?
Gianna has 342 dimes and 112 quarters.
What value of m (slope) and b (y-intercept) will give the system no solution?
y= -3/4x + 10
y=mx+b
m = -3/4
b = any number other than 10
Japan