Download Write two-steps equations

Use with Lesson 3
MAFS.8.EE.3.7
Solve each equation. Check your solution.
1. 3n + 2 = 8
2. 6n − 3 = 21
3. 2 = 3 − a
4. −5 + 2a − 3a = 11
5. Jack traveled 5 miles plus 3 times as many miles as Janice.
He traveled 23 miles in all. How far did Janice travel?
6. If 3x − 2 = 16, what is the value of 2x − 3?
Course 3, Lesson 2-3
Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org.
Use with Lesson 3
MAFS.8.EE.3.7
ANSWERS
1. 2
2. 4
3. 1
4. −16
5. 6 miles
6. 9
Course 3, Lesson 2-3
Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org.
WHAT is equivalence?
Course 3, Lesson 2-3
• MAFS.8.EE.3.7
Solve linear equations in one variable.
• MAFS.8.EE.3.7a
Give examples of linear equations in one variable with one solution,
infinitely many solutions, or no solutions. Show which of these
possibilities is the case by successively transforming the given equation
into simpler forms, until an equivalent equation of the form x = a, a = a, or
a = b results (where a and b are different numbers).
• MAFS.8.EE.3.7b
Solve linear equations with rational number coefficients, including
equations whose solutions require expanding expressions using the
distributive property and collecting like terms.
Course 3, Lesson 2-3
Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org.
Mathematical Practices
MP1 Make sense of problems and persevere in solving them.
MP2 Reason abstractly and quantitatively.
MP3 Construct viable arguments and critique the reasoning of others.
MP4 Model with mathematics.
Course 3, Lesson 2-3
Mathematics Florida Standards – Mathematics, numbering and wording from www.cpalms.org.
To
• translate sentences into equations,
• define a variable, then write and solve
equations
Course 3, Lesson 2-3
WHAT is equivalence?
Course 3, Lesson 2-3
WHAT is equivalence?
Sample answers:
• You can use a two-step equation to represent a realworld situation.
• Words can translate into variables and equations.
Course 3, Lesson 2-3
Write an equation for the
following situation:
An appliance repairman
charges $35 for a house call
and $30 per hour. The cost
of a house call and repair job
came to $125.
Course 3, Lesson 2-3