Write and solve real-world and mathematical problems in the form of one-step, linear equations involving nonnegative rational numbers.
Expressions and Equations
Reason about and solve one-variable equations and inequalities.
Write and solve real-world and mathematical problems in the form of one-step, linear equations involving nonnegative rational numbers.
Expressions and Equations
Reason about and solve one-variable equations and inequalities.
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Write an equation for the problem and solve it. Be sure to define your variable. You want to buy a new smart TV that costs $1575. You check your savings-account balance and realize that to buy the smart TV, you will need $125 more than what you have in your savings account. How much money do you have in your savings account?
Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude equations that contain variables on both sides.
Write and fluently solve linear equations of the form ππ₯ + π = π and π(π₯ + π) = π where π, π, and π are rational numbers.
Solve word problems leading to equations of the form π±πΉ + π² = π³ and π±(πΉ + π²) = π³, where π±, π², and π³ are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Solve linear equations in one variable.
Identify and justify the steps for solving multi-step linear equations and two-step linear inequalities.
Solve real-world and mathematical problems by writing and solving equations of the form πΉ + π± = π² and π±πΉ = π² for cases in which π±, π² and πΉ are all nonnegative rational numbers.
Solve real-world and mathematical problems by writing and solving equations of the form πΉ + π± = π² and π±πΉ = π² for cases in which π±, π² and πΉ are all nonnegative rational numbers.
Solve real-world and mathematical problems by writing and solving equations of the form πΉ + π± = π² and π±πΉ = π² for cases in which π±, π² and πΉ are all non-negative rational numbers.
Solve real-world and mathematical problems by writing and solving equations of the form π₯ + π = π and ππ₯ = π for cases in which π, π and π₯ are all nonnegative rational numbers.
Solve real-world and mathematical problems by writing and solving equations of the form πΉ + π± = π² and π±πΉ = π² for cases in which π±, π² and πΉ are all nonnegative rational numbers.