Literal Equations
Solving Inequalities
Creating Inequalities
Compound Inequalities
Solving Equations :)
100
Solve for r.
H=8pir
r=H/(8pi)
100
Solve and graph the inequality.
4z+6z> -30
z> -3 
100
Aaliyah needs to order some new supplies for the restaurant where she works. The restaurant needs at least 344 spoons. There are currently 200 spoons. If each set on sale contains 18 spoons, write an inquality that will help determine the minimum number of sets of spoons Aaliyah should buy.
200 + 18 x ≥ 344
100
7x<=42 or x+4>=14
x<=6 or x>=10
100
When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?
Original Equation: −2(x+5)=11
First Step: −2x−10= 11
Distributive property
200
Solve for b.
w=b/c
b=wc
200
Solve the inequality.
3x−19> -22
x> -1
200
Under his cell phone plan, Jayden pays a flat cost of $41 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. What inequality can be used to determine g, the maximum number of gigabytes Jayden can use while staying within his budget?
41+5g<65
200
7b>21 and b+5<=13
3<b<=8
200
Solve the equation.
9=5−y/3
y=-12
300
Solve for x.
y = 9x - 2
(y + 2) / 9 = x
300
Solve and graph the inequality.
16<=-2x-8
-12>=x 
300
A public beach in Florida charges $30 for a fishing license and $8 per-box of bait. Mike has $50 to spend on a day of fishing. Write and solve an inequality showing the number of boxes of bait Mike can purchase.
INEQUALITY: 30+8x<=50
Mike can purchase at most 2 boxes of bait.
300
Solve and graph the compound inequality.
16>= -2x-4>4
-10<=r<-4
300
Solve the equation:
−3x−7= −8x−57
x=-10
400
Solve for r.
2(3x-2r)=a
r=(a-6x)/-4
400
Solve and graph the inequality.
6(3-5d)<4d-356
d>11 
400
Shonda earns a salary of $226 per week plus $18 for every table she sells at the furniture store. She wants to earn at least $460 this week. Write and solve an inequality to determine how many tables Shonda will have to sell to meet this goal.
INEQUALITY:226+18x>=460
ANSWER: x>=13
400
Solve and graph the compound inequality.
4n-5>11 or 9-8n>=25
n<=-8 or n>4
400
Anand bought snacks for his team's practice. He bought a bag of popcorn for $1.95 and a 15-pack of juice bottles. The total cost before tax was $37.80. How much was each bottle of juice? Use an equation to solve.
$2.39
500
Solve for P.
D=11/5(P-15)
P=(5(D+33))/11
500
Solve and graph the inequality.
(-6+7x)/2<11
x<4 
500
A rental car company charges $20 per day to rent a car and $0.10 for every mile driven. Addison wants to rent a car, knowing that:
- She plans to drive 100 miles.
- She has at most $80 to spend.
Write and solve an inequality which can be used to determine x, the number of days Addison can afford to rent while staying within her budget.
INEQUALITY: 20x+10≤80
ANSWER: x≤3.5
500
8≤3x−4 or 3x−4<29
4<=x or x<11
all real numbers
500
Solve the equation.
−2(4x+2)−5x−5=−48
x=3