One Variable Equations
Two Variable Equations
Absolute Value Equations
Absolute Value Inequalities
Extra
100
Solve for g
-14g+20=-4g-10
g = 3
100
Which value represents slope?
y=-4x+9/4
-4
100
True or False: You HAVE to isolate the absolute value before you split the absolute value equation into two separate ones.
True
100
How is the process for solving absolute value inequalities different from absolute value equations?
When splitting into two, one inequality symbol stays the same while the other flips in the opposite direction.
2x+4ge10
2x+4le-10
100
A hot-air balloon starts 6 feet above the ground and then rises 20 feet each minute. What equation gives the height h in feet as a function of time t in minutes?
y=20x+6
200
Solve for u
5u-20=-5u
u = 2
200
Which value represents y-intercept?
y=2/3x+6
6
200
Solve each absolute value equation
5abs(x-6)=20
x=10
x=2
200
Solve the following absolute value inequality
abs(x-5)<4
x>1
x<9
200
A grocery store scale is accurate to within 0.4 pound. The scale indicates that a bag of apples weighs 3.7 pounds. What are the maximum and minimum weights of the apples?
Maximum: 4.1 pounds
Minimum: 3.3 pounds
300
Solve for h
2+18h=9h+11
h = 1
300
Based off of the table, what is the slope? (simplify)
m = -8
300
Solve the following absolute value equation
2abs(x+3)-4=10
x=4
x=-10
300
Solve the following absolute value inequality
abs(3x+5)ge8
xge1
xle-13/3
300
Juliet wants to read more this year. So far, she has read two books for a total of 730 pages. Juliet's goal is to read 25 pages each day for the rest of the school year. Let x represent the number of days that she has followed her plan, and let y represent the total number of pages read.
Create a linear equations that Juliet use to model her plan and calculate the total number of pages read?
y=730+2x
y=2x+730
400
Solve for w
-18+18w+16=15w+19
w = 7
400
Bear Valley already had 3 inches of snowcover when a snowstorm moved in. The storm is increasing the amount of snowcover by 2 inch per hour.
Write the linear equation to represent the scenario.
y=2x+3
400
Solve the following absolute value equation
abs(3x-1)-5=21
x=9
x=-25/3
400
Solve the following absolute value inequality
5abs(2x+9)>15
x> -3
x<-6
400
Solve the following absolute value inequality. (simplify your answer)
-3abs(2x-1)+7ge1
xge3/2
xle-1/2
500
Solve for j
4(2j-5)+j=7
j = 3
500
Connor has already written 15 pages of his new young adult novel, and he will write more today. He expects to write 2.5 pages per hour.
Write the linear equation to represent the scenario.
y=2.5x+15
500
Solve the following absolute value equation.
3abs(x+4)-1=11
x=0
x=-8
500
Solve the following absolute value inequality
7ge2abs(5t+7)+3
-1get
-9/5let
500
Katie deposited $700 in a savings account and deposits an additional $50 each week. Glenn deposited $400 in his savings account at the same time, and he deposits an additional $70 each week.
What are the TWO equations represented in the scenario?
y=700+50x
y=400+70x