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Biblioteka

Master Solving Equations Basics

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Posljednje ažuriranje 3 months ago
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Napomena autora:
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Day 2 (9/10/24)

The examples below are different in that the multiplication/division is done FIRST, followed by the addition/subtraction.

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Spiral Review

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Day 3 (9-12-24)

Solving Multi-Step Equations

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Essential Question: How do we solve algebraic equations with more than 1-step?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

Essential Question: How do we solve algebraic equations with more than 1-step?

Learning Target: Students will be able to solve algebraic equations representing real-world situations that involve multiple steps to solve.

Complete the entire assignment and show work for full credit.

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Pitanje 1
1.

Vocabulary: In your own words, what does it mean to isolate a variable?

A.CED.1
A.REI.3
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Pitanje 2
2.

Vocabulary: In your own words, what is an inverse operation?

A.CED.1
A.REI.3
Pitanje 3
3.

Match the operation with its inverse.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

inverse of division

arrow_right_alt

subtraction

inverse of multiplication

arrow_right_alt

addition

inverse of addition

arrow_right_alt

division

inverse of subtraction

arrow_right_alt

multiplication

Pitanje 4
4.

What is the first step to solve this equation?

Pitanje 5
5.

Solve this equation.

Pitanje 6
6.

What is the first step to solve this equation?

Pitanje 7
7.

Solve this equation.

Pitanje 8
8.

What is the first step to solve this equation?

Pitanje 9
9.

Solve this equation.

Pitanje 10
10.

Put these operations in the order by which you perform them to simplify an expression. (first to last)

  1. addition

  2. multiplication

  3. division

  4. exponents

  5. subtraction

  6. parentheses ( )

Pitanje 11
11.

To solve an equation we need to undo operations to isolate a variable. So, we need to undo PEMDAS. This means we need to work in a different order.

Put these operations in the order by which you perform them to solve an equation. (first to last)

  1. multiplication and division

  2. parentheses ( )

  3. addition and subtraction (outside of parenthesis)

Video Notes: Solving 2-step equations

Pitanje 12
12.

Put the steps to solving this equation in the right order.

  1. divide both sides of the equation by 3

  2. Before we start solving, we identify the variable a, so we can solve for it the variable

  3. add 7 to both sides of the equation

  4. the result is x=7

Pitanje 13
13.

What is the second step to solving this equation?

Pitanje 14
14.

Solve this equation.

Pitanje 15
15.

Solve this equation.

17 + 3k = 26

Pitanje 16
16.

Solve this equation.

4b - 5 = -33

Pitanje 17
17.

Solve this equation.

8 + 9c = - 10

Pitanje 18
18.

Solve this equation.

12y + 25 = - 35

Pitanje 19
19.

Solve this equation.

15h - 9 = - 54

Pitanje 20
20.

Solve this equation.

8 - 10x = - 32

Pitanje 21
21.

Solve this equation.

- 16 - 2j = - 34

Pitanje 22
22.

Solve this equation.

Pitanje 23
23.

Solve this equation.

Pitanje 24
24.

What is the first step to solving this equation?

Pitanje 25
25.

Solve this equation.

Pitanje 26
26.

Solve this equation.

Pitanje 27
27.

Solve this equation.

Pitanje 28
28.

Solve this equation.

Pitanje 29
29.

Pitanje 30
30.

Pitanje 31
31.

Translate this expression.

“eighteen less than a number”

Pitanje 32
32.

Translate this expression.

“twice a number plus four”

Pitanje 33
33.

Translate this expression.

"sixteen more than the quotient of a number and two”

Pitanje 34
34.

Write each expression in words

-4x+13

Pitanje 35
35.

Which words or phrases have the same meaning as multiplication?

Pitanje 36
36.

Directions: Give the perimeter of each figure as a simplified expression.

Pitanje 37
37.

Evaluate each expression using the variable replacements.

Pitanje 38
38.

Evaluate each expression using the variable replacements.

Pitanje 39
39.

Evaluate each expression using the variable replacements.

Pitanje 40
40.

The expression 6x² gives the surface area of a cube, where x is the length of one side of the cube. Find the surface area of a cube with a side length of 5 meters. (Be sure to use the correct unit in your answer)

Pitanje 41
41.

What is the constant in the algebraic expression 5x + 2

Pitanje 42
42.

What is the coefficient in the algebraic expression 5x + 2

Pitanje 43
43.

What is the variable in the algebraic expression 5x + 2

Pitanje 44
44.

Simplify each expression by combining like terms.

Pitanje 45
45.

Simplify each expression by combining like terms.

Pitanje 46
46.

Simplify each expression by combining like terms.

Pitanje 47
47.

Simplify each expression by combining like terms.

Pitanje 48
48.
Pitanje 49
49.

Put the steps in the correct order to solve this multistep equation.

  1. undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5

  2. Use distribution to multiply (7a+5) by -4 to get -28a - 20

  3. undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140

  4. The solution is a = 5

  5. Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160

Pitanje 50
50.

Solve this multi-step equation. Show your work (SYW)

Pitanje 51
51.

Put the steps in the correct order to solve this multistep equation.

  1. The solution is x = -4

  2. Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25

  3. Simplify like terms to get the equation -7x - 3 = 25

  4. undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28

  5. undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4

Pitanje 52
52.

Solve this multi-step equation. Show your work (SYW)

Pitanje 53
53.

Put the steps in the correct order to solve this multistep equation.

  1. Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7

  2. Simplify like terms to get the equation 13k - 6 = 7

  3. undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13

  4. Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7

  5. undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1

  6. The solution is k = 1

Pitanje 54
54.

Solve this multi-step equation. Show your work (SYW)

Pitanje 55
55.

Solve this multi-step equation. Show your work (SYW)

Pitanje 56
56.

Solve this multi-step equation. Show your work (SYW)

Pitanje 57
57.

Solve this multi-step equation. Show your work (SYW)

Pitanje 58
58.

Solve this multi-step equation. Show your work (SYW)