Linear Equations
Linear Inequalities
Properties
Consecutive Integers
Grab Bag
100

The solution to 2x + 8 = 38

What is 15?

100

The truth value of 11 < -13 or 7 > 7

What is false?

100

The property that justifies 

4(x + 10) = 16 

4x + 40 = 16

What is the distributive property?

100

An expression that represents the difference between an integer, n, and the next odd consecutive integer.

What is n - (n + 2)?

100

True or False: x = 5 is a solution to the equation 

(x + 2)(x - 5) = 0

What is true?

200

The solution to 7(x + 9) = 126

What is 9?

200

The solution to 2x - 5 < 1

What is x < 3?

200

The property that justifies 

4(x + 10) - 4 = 12

4(x + 10) = 16

What is the additive property of equality?

200

The equation that represents two consecutive integers whose sum is 11 less than three times the smaller integer.

What is n + (n + 1) = 3n - 11

200

The inequality -6 <= x < 8 in interval notation

What is [-6, 8)?

300

The solution to 4x + 1 = 5x - 2

What is 3?

300
The solution to 5x + 2 > 7x - 4
What is x < 3?
300

The property that justifies

5x = -15

(1/5) * 5x = (1/5) * -15 

What is the multiplicative property of equality?

300

I'm thinking of three consecutive odd integers. When I add the larger two the result is nine less than three times the smallest of them. The three consecutive odd integers are ... 

What are 15, 17, and 19?

300

True or False: When graphing x<-3 or x>= 10, the shaded regions is between the two endpoints.

What is false?

400

The solution to a(2x - 3) = bx + 5 in terms of x

What is (3a + 5)/(2a - b)?

400

One-half of a number that's been decreased by 7 is at most 14

What is (n - 7)/2 <= 14?

400
The property that justifies

4x + x + 4 = -11

(4 + 1)x + 4 = -11

What is the distributive property (factoring)?

400

The sum of four consecutive integers is -18. The four consecutive integers are ...

What are -6, -5, -4, and -3?

400

Currently, Yamir is twice as old as Pato. In three years, the sum of their ages will be 30. If Pato's current age is represented by a, the equation that could be solved for a is given by...

What is (a+3) + 2(a+3) = 30?

500

This value of x is the solution to (x + 9)/2 - 3 = 5

What is 7?

500

Josh needs at least 5000 points in a video game he is playing to move on to the next level. Currently, he has 3750 points and will earn 200 points per game, g, he plays. Find the inequality that represents this situation and the solution

What is 200g + 3750 >= 500 and 7?
500

In the following solution to an equation, what to properties have been used?

(x / 5) - 3 = 7 

(x / 5) = 10

x = 50

What are the additive and multiplicative properties of equality?

500

Three consecutive integers have the property that when the difference between the first and twice the second is found, the result is eight more than the third. The three consecutive integers are...

What are -8, -6, and -4?

500

The interval (-5, 10] as an inequality

What is -5 < x <= 10?