Name That Property
If a = b, then ac = bc.
Multiplication Property of Equality
Simplify this expression. 4x + 3 - 6x - 8
-2x - 5
Solve for H in the literal equation. V = LWH.
H = V/LW
Solve and graph the inequality. 3x > x + 16
x > 8. Check graphs.
The sum of two consecutive integers is 29. What are those two integers?
14 and 15
If a = b, then a/c = b/c.
Division Property of Equality
Simplify this expression. -2(3x - 1) + 5x
-x + 2
Solve for x in the literal equation. y = 3x + 6.
x = (y - 6)/3
Solve and graph the inequality. -3x < 15
x > -5. Check graphs.
Joe and Sam went to a carnival. They spent a total of $42. If they spent $15 total on rides and $9 total on food, how much did each of their tickets cost?
t = 9
a(b + c) = ab + ac
Distributive Property
Solve this equation. 1/4x = 3/4
x = 3
Solve for x by clearing fractions/decimals. 1/12x + 1/6 = 2/3
x = 6
Solve and graph the compound inequality. -1/2x < 4 OR 2x < -13 - 7
If a triangle has sides that are consecutive odd integers and the perimeter is 129units, then what are the lengths of the side of the triangle?
41units, 43units, 45units
Which property would you use FIRST to solve this equation? 3x + 5 = 7
Subtraction Property of Equality
Solve this equation. -2 (-3x + 5) -6 = 4x - 4
Solve for x by clearing fractions/decimals.0.34 + 0.2x = 0.54 + 0.1x
x = 2
Solve and graph the compound inequality. x + 2 ≤ 4 < 3x + 13
x ≤ 2 AND -3 < x. Check graphs.
Jimmy is saving up to buy a TV that costs a total of $550. So far, he has saved $178. If he wants to buy the TV 3 weeks from now, how much would he have to save every week to have enough money to purchase the TV?
$124 = w
Which property would you use LAST when solving this equation? 5x - 4 = 26
Division Property of Equality
Solve this equation using an Algebraic Proof (Statement/Reason). -5(x - 1) + 6x = 3
x = -2. Check proofs.
Solve this equation using an Algebraic Proof (Statement/Reason). - 4 + -(x - 1) + 3x = x + 2
x = 5. Check Proofs.
Solve and graph the compound inequality. -2x < 4 > 2x
x > -2 AND 2 > x
A photography shop has two different plans. Plan A: $20 for a photo session and $5 per picture you decide to order. Plan B: $50 for a photo sessions and $2 per photo you decide to order. How many pictures would you have to order for Plan B to cost less than Plan A?
p > 10