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Alg 1 H 2.4 2.5 9­30_10­3.notebook
October 03, 2016
Algebra 1 Honors
October 3, 2016
Goals
1. Solve multi­step equations in one variable
2. Solve equations with variables on both sides
3. Identify equations that are identities or have no solution
Course Standards
A.REI.3 ­ Solve linear equations in one variable.
A.CED.1­ Create equations and inequalities in one variable and use them to solve problems.
Homework
Pages 105­106: 11­39 (odd), 44­47
Page 112­113: 16­32, 46
** Quiz on Sections 2.1 - 2.4 on Tues., Oct. 4th (A Day)
OR Wed., Oct. 5th (B Day) **
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Alg 1 H 2.4 2.5 9­30_10­3.notebook
October 03, 2016
H HW (assigned 9/28 pr 9/29): Page 98: 11-33 (odd), 45-47, 55, 65
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Section 2.4 - Solving Equations With Variables on Both Sides
Steps for Solving Equations:
Step 1 Use the Distributive Property to remove any grouping
symbols. Use properties of equality to clear decimals and fractions.
Step 2 Combine like terms on each side of the equation.
Step 3 Use properties of equality to get variable terms on one
side of the equation and the constants on the other.
Step 4 Use the properties of equality to solve for the variable.
Step 5 Check your solution in the original equation.
Homework
Pages 105­106: 11­39 (odd), 44­47
Page 112­113: 16­32, 46
** Quiz on Sections 2.1 - 2.4 on Tues., Oct. 4th (A Day)
OR Wed., Oct. 5th (B Day) **
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Alg 1 H 2.4 2.5 9­30_10­3.notebook
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What is the difference between these two equations?
6x + 22 ­ 3x = 31
6x + 22 = 3x + 31
They will not be solved using the same steps since the first equation has the variables all on one side while the second one has varaibles on both sides. Solve each equation.
6x + 22 ­ 3x = 31
6x + 22 = 3x + 31
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Solve each equation. Check each solution.
1. 6x + 22 = ­3x + 31
3. 12 ­ 2a = ­5a ­ 9 2. 5n ­ 8 = 3n +2
4. 3(5d + 2) = 4(3d ­ 7)
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5. ­2(3c ­ 6) = 7(2c + 4)
7. 7w + 3(­4 + 2w) = 1 ­ w
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6. 8x ­ (3x ­ 9) = 4(4x­ 6)
8. 7 ­ (­2x) = 14 + 3x
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Alg 1 H 2.4 2.5 9­30_10­3.notebook
9. 5 ­ 2(3x + 7) = 14x October 03, 2016
10. 4(6x + 7) = 8(2 ­ 3x)
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Three times the sum of a number and 4 is
8 less than one-half the number. Write
and solve an equation to find the number.
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Alg 1 H 2.4 2.5 9­30_10­3.notebook
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Shirley is going to have the exterior of her home painted.
Tim's Painting charges $250 plus $14 per hour. Colorful Paints
charges $22 per hour. How many hours would the job need to
take for Tim's Painting to be the better deal?
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Alg 1 H 2.4 2.5 9­30_10­3.notebook
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Tracey is looking at two different travel agencies to plan her
vacation. ABC Travel offers a plane ticket for $295 and a
rental car for $39 per day. M&N Travel offers a plane ticket
for $350 and a rental car for $33 per day. What is the
minimum number of days that Shirley's vacation should be for
M&N Travel to have the better deal?
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2.5 Literal Equations and Formulas
Objectives:
To solve equations for given variables.
To use formulas to solve real­life problems
A literal equation
variables.
is an equation that involves two or more Solve for x.
A. ax = b
B. x + g = h
C. cd + x = k
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Goal: To isolate the indicated variable.
Solve each equation for y. Then, find the value of y for each value of x.
1. 2x + 3y = 9; x = ­3, 0, 1
2. 8x ­ 4y = 16; x = ­1, 0, 2
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3. 5y + 2x = 11; x = ­2, 0, 5
4. 6x = 3y + 9; x = ­2, 0, 1
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Rewriting a Literal Equation With Only Variables
What equation do you get when you solve ax - bx = c for x?
What equation do you get when you solve -t = r + px for x?
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What is the radius of a circle with circumference 64ft? Round
to the nearest tenth. Use 3.14 for pi.
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What is the height of a triangle that has an area of 24 in.
and a base with a length of 8 in.?
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Page 111
The monarch butterfly is
the only butterfly that
migrates annually north and
south. The distance that a
particular group travels is
shown. It takes a typical
butterfly about 120 days
to travel one way. What is
the average rate at which
a butterfly travels in miles
per day? Round to the
nearest mile per day.
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Page 111
Pacific gray whales migrate annually from the waters near Alaska to the
waters near Baja California, Mexico and back. The whales travel a
distance of about 5000 mi each way at an average rate of 91 mi per
day. About how many days does it take the whales to migrate one way?
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Dan drove 512 miles in 8 hours. What was his average speed for
the trip?
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Solve and turn in
1.
17 - 9y = -3 + 16y
3.
A movie club charges a one-time membership fee of $25
2.
22p + 11 = 4p - 7
which allows members to purchase movies for $7 each. Another
club does not charge a membership fee and sells movies for $12
each. How many movies must a member purchase for the cost of
two clubs to be equal?
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