Definitions
Solving for X
Inequalities
Percents
Word Problems
100
This term describes a known relationship among quantities.
A formula.
100
-3=-5+x
x=2
100
Solve: -x+8<8
x>0
100
What is 10% of 100?
100(0.10) = 10
100
Five less than 4 times a number is the same as 4 more than the number. Find the number.
x=3
200
This is a statement that contains symbols such as < and >.
An inequality.
200
6(5+x)=3(2x+10)
All Real Numbers
200
Solve the inequality: 3x-5>7x+3
x<-2
200
21 is what percent of 150?
14%
200
Find the value of x if y=-14, m=-2 and b=-2 in the formula y=mx+b.
x=6
300
These are equations that have the same solution.
Equivalent Equations.
300
(7/9)-4x+3x=(2/9)+x
x=5/18
300
Find the solution set: -0.3x≥2.4
x≤-8
300
The price of a small diamond ring was recently increased by 15%. If the ring originally cost $2000, find the new price.
$2300
300
A gallon of water seal covers 200 square feet. How many gallons are needed to paint two coats of water seal on a deck that measures 20 ft. by 35 ft?
7 gallons.
400
This can be written in the form Ax+B=C, where A, B and C are real numbers and A is not equal to 0.
A Linear Equation in One Variable
400
-0.5(3y-4)+0.3y=0.2(15-y)
y=-1
400
Solve the inequality: -5(x-1)+6≤-3(x+4)+1
x≥11
400
Tom weighed 150 pounds before he started training for wrestling. At his first match, he weighed 141 pounds. Find the percent of decrease in his weight.
6% decrease, or -6%
400
Solve for y. 3x-4y=10
y=(10-3x)/-4
500
This is a collection of numbers, variables, operations symbols and grouping symbols.
An expression.
500
(7(x-1))/4=2x+9
x=-43
500
Find the solution set (in interval notation): -7<5x+3≤18
(-2, 3]
500
How many liters of a 10% acid must be mixed with a 50% acid solution in order to obtain 20 liters of a 30% solution?
10L of both 10% and 50%.
500
Carol would like to pay cash for a car when she graduates from college and estimates that she can afford a car that costs between $4000 and $8000. She has saved $500 so far and plans to earn the rest of the money by working the next two summers. If Carol plans to save the same amount each summer, use a compound inequality to find the range of money she must save each summer to buy the car.
She must save between $1750 and $3750.
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