Solving Equations
Systems of Linear Equations
Slope
Functions
Graphing Stories
100
Solve for x
2x - 1 = 7
x = 4
100
All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?
8 Vans and 7 Buses
100
Michael started a savings account with $300. After 4 weeks, he had $350 dollars, and after 9 weeks, he had $400. What is the rate of change of money in his savings account per week?
$10 per week
100
Identify if the graph is linear or non-linear
non-linear
200
Solve for a
11 = 4a - 1
a = 3
200
Identify if the following have a solution, no solutions or infinite solutions when graphed.
y=-2x-2
y= -2x+2
No solution.
200
Find the slope of a line that passes through these points:
(8,2) and (11,3)
1/3
200
classify the following equation as linear or non-linear:
y=7
linear
300
Solve for m
5 + 2m = 9
2
300
Identify if the following have one solution, no solution, or infinite solutions when graphed. If one solution identify that solution.
y=4x+3
y=-x-2
Yes. (-1,-1)
300
Find the slope of a line that passes through these points:
(-5,9) and (5,11)
1/5
300
identify whether the following is a function or not.
function
300
Does the story provided match the graph provided:
After parking his car, Carlos starts walking on a new park trail. He walks up and down a small hill, then walks up a set of stairs, crosses a bridge over a creek, and walks down another flight of stairs.
no
400
Solve for x
1 = 10 - 3x
x = 3
400
A farmhouse shelters 11 animals. Some are goats and some are ducks. Altogether there are 34 legs. How many of each animal are there? ?
5 ducks and 6 goats
400
Find the slope of the line that passes through these points:
(9,4) and (-6, 4)
0 or zero slope
400
Write the linear equation associated with the word problem using the form Y=mx+b
Rico’s Plumbing Service charges $80 for a service call plus $65 per hour for labor.
y=65x+80
500
13 - 2x = 5
4
500
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?
7 forks and 20 spoons
500
Find the slope of the line that passes through the points:
(-4,3) and (-6, -8)
11/2
500
The function c = 0.5m + 1describes the cost c in dollars of a phone call that lasts m minutes made from a room at the Shady Tree Hotel. Determine how long a 7 minute call will last.
4.5