Solve Expressions
Simplify the following expression (hint: combine like terms):
3x+x-8
4x-8
How much does 1 loaf of bread cost in the table?
1 loaf costs $2.00
What is the y-intercept of the given graph?
b=5
In any real-life scenario, the y-intercept represents what?
a) The rate of change per unit
b) The starting amount
c) The value of x
b) The starting amount
Convert the following decimal to a percentage:
0.62
62%
Solve for x:
2x=14
x=7
Casen goes on long trail walks with his dog Max in the woods. Given the graph showing how quickly Casen and Max travel, after 2 hours how much ground have they covered?
They've traveled 6 miles
What is the slope of the given graph?
m=3
What does the slope represent in a linear equation?
a) The value of x
b) The starting amount
c) The rate of change per unit
c) The rate of change per unit
What is the slope-intercept form of a linear equation? (hint: the formula we've been using)
y=mx+b
Solve for x:
-3x+5=2x
x=1
Irene makes flower bouquets and can buy a $6 bundle of 12 pansies to use in her bouquets. If she uses 7 pansies in a certain style of bouquet, how much will the pansies cost her to make the bouquet?
The bouquet costs $3.50 worth of pansies
Explain how you would graph the equation:
y=5x
Start at the origin (0,0), then rise 5 and run 1 for the next point
Given a y-intercept of 7 and a slope of 3/1, what is the linear equation?
y=3x+7
You need a pack of soda cans for you and your friends. When you get to the store, they have two size options; 18 cans for $10 and 12 cans for $6. Which option is cheaper per can of soda?
The 12 can pack
Solve for x:
6x+15=6x-3
No solution
Ms. Wetzel and Ms. Wesly make a bet on who can grade assignments faster. Given the table, which teacher is faster?
Ms. Wetzel is faster at grading
Explain how you would graph the equation:
y=1/2x-4
Start at -4 on the y-axis, then rise 1 and run 2 for the next point
Given the equation y=2x+3, what is y when x=4 ?
y=11
What two features define a proportional relationship?
It starts at or goes through zero and has a constant rate of change
Solve for x:
3(x-4) > 7x
-3 > x
The given graph models the average cost of eggs and the cost of butter over the years. Which dairy product is more affected by inflation?
Eggs are more affected; the cost rises faster
Explain how you would graph the equation:
y=-3/4x+9
Start at 9 on the y-axis, then move down 3 and run 4 for the next point
Given the points (5,2) and (10,4), what is the slope?
m=2/5
Name the different representations of slope:
1. Constant ____ of ____
2. The variable __
3. ___ over ____
4. ____ rate
1. Constant rate of change
2. The variable m
3. Rise over run
4. Unit rate