Download Lesson 5 - Solving Equations (Day 2 - Regents Questions)

lesson 5 Solving Equations Day 2 STUDENT.notebook
Aim: How do we solve multi­step equations with one variable? (Day 2)
Do Now: 1) Which domain would be the most appropriate set to use for a function that predicts the number of household online­devices in terms of the number of people in the household?
a.
b. c.
d.
integers
whole numbers
irrational numbers
rational numbers
y
2) The graph of y = f(x) is shown below.
Which point could be used to find f(­1)?
a.
b. c.
d. A
B
C
D
B
C
A
D
x
lesson 5 Solving Equations Day 2 STUDENT.notebook
Steps to Solve a Linear Equation:
Distribute
Combine like terms (ONLY on the same side of the equal sign)
Variables on opposite sides (add opposites to get variables on same side)
Constant (move using addition/subtraction property of equality) Coefficient (move using multiplication/division property of equality) lesson 5 Solving Equations Day 2 STUDENT.notebook
Use the steps to solve each linear equation.
Check on your calculator!
1) 5 = 5m ­ 23 + 2m
2) 2(5x ­ 1) = 3(x + 11)
3) 5(2x + 6) = −4(−5 − 2x) + 3x 4)
5) 6) lesson 5 Solving Equations Day 2 STUDENT.notebook
7) Donna wants to make trail mix made up of almonds, walnuts and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound, and raisins cost $5 per pound. Donna has $15 to spend on the trail mix. a) Write and solve an equation to determine how many pounds of almonds she will need.
b) How much total trail mix can she make?
lesson 5 Solving Equations Day 2 STUDENT.notebook
7) Donna wants to make trail mix made up of almonds, walnuts and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound, and raisins cost $5 per pound. Donna has $15 to spend on the trail mix. a) Write and solve an equation to determine how many pounds of almonds she will need.
Let x = # of parts
almonds + walnuts + raisins = total cost
12(1x) + 9(2x) + 5(3x) = 15
12x + 18x + 15x = 15
45x = 15
x = 1 parts of each
3 x = 1 pounds of almonds
3 b) How much total trail mix can she make?
Trail mix = almonds + walnuts + raisins
(1x) + (2x) + (3x) 1/3 + 2(1/3) + 3(1/3)
1 + 2 + 1
3 3
2 pounds of trail mix lesson 5 Solving Equations Day 2 STUDENT.notebook
9) 11m ­ 8 ­ 6m = 22
10) lesson 5 Solving Equations Day 2 STUDENT.notebook
11) 12) lesson 5 Solving Equations Day 2 STUDENT.notebook
13) 4(2y + 1) = 2(y ­ 13)
14) 8(1 + 5x) + 5 = 13 + 5x