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12 questions
Use substitution to solve the following system of linear equations.
x = 3y
y = 2x +5
(1, 3)
(-3, -1)
(3, 1)
(-1, -3)
What is the solution to the following system?
(5, 0)
(-3, 6)
(6, -3)
(0, -7)
If a system of linear equations has one solution, what does this system look like on a graph?
Two intersecting lines.
Two parallel lines.
Two perpendicular lines.
Two horizontal lines.
How many solutions exist to the following system of linear equations?
one
infinitely many
none
two
Malcolm buys 2 oranges and 3 apples at Walmart for $12.50. He later purchases 6 oranges and 4 apples for $17.50. What is the price of a single apple?
$0.25
$1.53
$8.50
$4
If two lines are parallel to one another, then the system containing them has __________ solution(s).
one
infinitely many
no
not sure
A toy manufacturer produces dolls that sell for $14. It costs the company $7 to make each doll. The company must also spend $3500 in advertising. How many dolls must the company sell to break even?
250
300
500
7000
Julia wants to start a small business selling flowers. She will need to purchase a vendor's license for $136 and each bouquet will cost her $3.50. If she decides to sell each bouquet for $12, how many bouquets will Julia need to sell in order to break even?
16
26
8
52
Use substitution to solve the following system of linear equations.
y = 5x - 11
y = -3x + 5
(-1, 2)
(8, 29)
(5, -3)
(2, -1)
What is the solution to the following system?
(-1, 4)
(4, 1)
(0, 5)
(1, 4)
Use substitution to solve the following system of linear equations.
5x + 6y = 8
x + 2y = 8
(-8, 8)
(4, -2)
(-2 4)
(8, -8)
430 people recently attended a county fair being held at the state capital. Charging $12 general admission and $9.50 for senior citizens, the fair brought in $4825. How many senior citizens attended the fair?
143
134
296
81
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