Properties
Simplifying Expressions
Solving One-Step Equations
Solving for x
Miscellaneous
100
4(x+3)=4x+12
Distributive
100
3(x-2) +1
3x-5
100
x=-22
100
2(3x+2)=2x -16
x=-5
100
Which of the following is an irrational number?
1. square root of 25
2. square root of 45
3. 1/2
4. -12
2. square root of 45
200
What property says it's true that 2(3x) = (2×3)x?
Associative
200
4x-2(x-7)
2x+14
200
a=-45
200
3x-9>7+5x
-8>x
200
A train moving at a constant speed travels 225 miles in 5 hours. How far does the train travel in 8 hours?
360
300
What property says that 3a – 5b + 7a=3a + 7a – 5b
Commutative Property
300
2a - 4b +3ab -5a +2b
-3a-2b+3ab
300
k+10=27
k=17
300
What is the solution to the equation 15= (x+3)/5
x=72
300
Find the average rate of change between the points (3, -6) and (4, -2).
-8
400
What property says 2 + (3 + 4) = (2 + 3) + 4
Associative Property
400
4rs -2s - 3(rs +1) - 2s
rs - 4s - 3
400
6.2=2.2+x
x=4.0
400
If the following system of equations is solved for x only, the result is
-7x+4y=12
2x+y=3
x=0
400
Arielle was shopping for shoes and bought a pair that was on sale for $296.00. If the shoes were originally 375.00, what is the percentage discount she received? Round to the nearest percent.
21%
500
Write an example of the Commutative Property of Addition using variables a, b, and c.
a+b+c=b+a+c
or a+b+c=c+a+b
or a+b+c=b+c+a
500
6(p +3q) - (7 +4q)
6p + 14q - 7
500
6/11=n+9/7
57/54
19/18 simplified
500
Solve for x in terms of a, b, c, and d:
cx-d+a=b
x= (b-a+d)/c
500
Gabe and his neighbor are both filling their pools at a constant rate. Gabe's pool contain 80 gallons and fills at a rate of 20 gallons/hours. Gabe's neighbor's pool contains 60 gallons and fills at a rate of 23 gallons per hour. After how many hours will the tanks have the same amount of water? Round to the nearest hundredth.
6.67 hours