Properties
Equations
Literal Equations
Inequalities
Modeling
100
The statements a + b = b + a and a * b = b*a are examples of
What is the commutative property?
100
Solve for x: 7x+2=44
What is x=6 ?
100
Solve for b:
a+b=c
What is b=c-a ?
100
Solve for x: 4x-6<=-10
What is x<=-1 ?
100
Marly is buying snacks for her birthday party. She spent $18 on plates and utensils, and bought x bags of chips that cost $4.25 each. If the total cost was $39.25, write an equation and solve to determine the number of bags of chips that Marly purchased.
What is
18 + 4.25x=39.25
and 5 bags of chips?
200
The statements a + (b + c) = (a + b) + c and a*(b*c)=(a*b)*c are examples of
What is the associative property?
200
Solve for x: 4x-5=6x-15
What is x=5 ?
200
Solve for x:
2x + y = z
What is x=(z-y)/2 ?
200
Solve for x:
3x-8>6x-9
What is x<1/3 ?
200
Emma is selling cupcakes at a bake sale. She spent $18 on ingredients to make the cupcakes, and is selling them for $6 per cupcake. She made a total profit of $126. Write an equation and solve to determine the number of cupcakes, x, that Emma sold.
What is
6x-18=126
and 24 cupcakes?
300
A teacher asked the class to solve the equation 3(x+2)=21 . Robert wrote 3x+6=21 as his first step. The proprety he used is
What is the distributive property?
300
Solve for x: 5(x - 4)-7 = 8
What is x=7 ?
300
Solve for m:
5m-7n=9
What is m=(9+7n)/5 ?
300
The smallest integer value (whole number) in the solution set of the inequality 2x - 10 < 6x +2
What is -2?
300
Sam has a total of $3.40 in his wallet made up of nickels and quarters. He has 8 less quarters than nickels. Write an equation and solve to determine the number of nickels, x, that Sam has.
What is
0.05x+0.25(x-8)=3.40
and 18 nickels?
400
While solving the equation 3x+6-5x=2x+4 , Jenny wrote 3x-5x=2x-2 as her first step. The property that Jenny used was
What is the addition property of equality?
400
Solve for x: -8 + 5(2x + 1) = x - (-9x + 7)
What is no solution?
400
Solve for h:
V=1/3pir^2h
What is h=(3V)/(pir^2) ?
400
The graph of the solution set of the inequality 2x-5<=3 
What is Choice 2?
(x<=4)
400
Ryan has $20 to spend on snacks at a movie theater. He already spent $8 on popcorn, and candy costs $5 per box. Write an inequality and solve to determine the maximum number of boxes of candy, x, that Ryan can afford.
What is
8+5x<=20
and 2 boxes of candy?
500
While solving the equation 4(x -1)+3=19 , Erin ended up with the statement 4x=20 . The property she needs to use to solve the equation is
What is the multiplication/division property of equality?
500
Solve for x: (x+3)/4-(2x+4)/5=1
What is x=-7 ?
500
Solve for b_1 :
A=1/2h(b_1+b_2)
What is b_1=(2A)/h-b_2 ?
500
Solve for x: 5-3(6x+3)>=7x-4-4x
What is x<=0 ?
500
Evan has a rewards card for a local movie theater. He received 30 points for singing up for the rewards program, and will earn 15 points each time he goes to the movies. He needs to have a total of at least 200 points to redeem them for a free movie ticket. Write an inequality and solve to determine the minimum number of movies, x, the Evan needs to see in order to get a free ticket.
What is
30+15x>=200
and 12 movies?