Solving Equations & Inequalities
Solve this one-step equation using Inverse Operations: x + 12 = -3.
x = -15
A letter or symbol, like x or y, used to represent an unknown value in an equation.
Variable
The type of circle used on a number line to graph solutions to inequalities with >= or <=.
Closed Circle
A car can hold a maximum of 5 people. Write an inequality to represent this situation, where p is the number of people.
p <= 5
All, One or None: 2x + 3 = 3 + 2x
Infinite Solutions
Simplify the expression 2(3x - 4) + 5x.
11x - 8
The operation used to "undo" a mathematical operation, for example, subtraction to undo addition.
What are Inverse Operations?
The type of circle used on a number line to graph solutions to inequalities with < or >
What is an Open Circle?
The price of a movie ticket is t. The equation 5t = 40 represents the cost for 5 tickets. What is t?
t=8
Solve this equation: 2x + 1 = 2x + 5.
What is No Solution?
What is the term for adding a negative number to its positive counterpart, resulting in zero?
A Zero Pair
The property that allows you to multiply a value by the terms inside a set of parentheses, such as turning 5(x - 2) into 5x - 10.
What is the Distributive Property?
Correctly Describe and Identify the correct graph for x < -4.
Open Circle at -4 pointing to the left
Translate this sentence into an equation: "The difference between 4 times a number and 7 is 13."
What is 4x - 7 = 13?
The term used when an equation simplifies to a true statement like 0 = 0
What is Infinite Solutions (or All Real Numbers)?
Solve this inequality: -2x + 7<= 1
x >= 3
The set of all numbers that make an equation or inequality true.
What is a Solution?
Write the inequality shown on a number line with a closed circle at 2 and the arrow pointing right.
A cell phone plan charges $50 per month plus $0.10 per text. If a customer wants to spend no more than $60, write an inequality to represent the situation (let t be the number of texts).
What is 50 + 0.10t <= 60?
Solve this equation: 3(x + 1) = 3x - 5.
What is No Solution?
Solve this equation: 3(x - 5) = 2x + 4.
X = 19
Describe the steps necessary to balance an equation to solve for (or Isolate) scam the variable.
What is Perform the same operation (or Inverse Operation) on both sides of the equal sign? Happy
A math club needs to raise at least $400. If x is the amount they raise, write and graph the inequality that represents this situation.
x >= 400
The solution to the equation 10d + 50 = 150 is d = 10. If the equation represents the cost of a $50 party room plus $10 per person, explain what the solution d = 10 means in this context.
What is The party was for 10 people (or 10 people attended the party)
Solve this equation: 4(x - 2) + 3 = 4x - 5.
What is Infinite Solutions (or All Real Numbers)?