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Biblioteka

Copy of Solving Equations Basics (7/21/2024)

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Posljednje ažuriranje 3 months ago
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Napomena autora:

Day 1 8/30/23

Opposite Operations and Solving Equations

Obavezno
8
Obavezno
2
Obavezno
5
Obavezno
2
Obavezno
5
Obavezno
2
Obavezno
5
Obavezno
6
Obavezno
6
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
5

Day 2 8/31/23

Obavezno
4
Obavezno
10
Obavezno
2
Obavezno
2
Obavezno
10
Obavezno
10
10
10
10
10
10
10
10
10
10
10

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

10
10
10

Day 3 9-1-22

Spiral Review

Obavezno
5
Obavezno
5
Obavezno
5
Obavezno
8
Obavezno
10
Obavezno
10
Obavezno
10

Solving Multi-Step Equations

Obavezno
5
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
12
Obavezno
10
Obavezno
10
Obavezno
10

Essential Question: How do we solve algebraic equations using opposite operations?

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 using opposite operations?

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.

Obavezno
5
Pitanje 1
1.

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

A.CED.1
A.REI.3
Obavezno
5
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 subtraction

arrow_right_alt

subtraction

inverse of multiplication

arrow_right_alt

addition

inverse of division

arrow_right_alt

division

inverse of addition

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. division

  3. subtraction

  4. exponents

  5. multiplication

  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. parentheses ( )

  2. addition and subtraction (outside parentheses)

  3. multiplication and division (outside parentheses)

Pitanje 12
12.

Solve this equation

Pitanje 13
13.

Solve this equation

Pitanje 14
14.

Solve this equation

Pitanje 15
15.

Solve this equation

Pitanje 16
16.

Solve this equation

Pitanje 17
17.

Solve this equation

Pitanje 18
18.

Solve this equation

Pitanje 19
19.

Solve this equation

Pitanje 20
20.

Solve this equation

Video Notes: Solving 2-step equations

Pitanje 21
21.

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

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

  2. add 7 to both sides of the equation

  3. divide both sides of the equation by 3

  4. the result is x=7

Pitanje 22
22.

Solve this equation.

Pitanje 23
23.

What is the first step to solving this equation?

Pitanje 24
24.

What is the second step to solving this equation?

Pitanje 25
25.

Solve this equation.

Pitanje 26
26.

Solve this equation.

17 + 3k = 26

Pitanje 27
27.

Solve this equation.

4b - 5 = -33

Pitanje 28
28.

Solve this equation.

8 + 9c = - 10

Pitanje 29
29.

Solve this equation.

12y + 25 = - 35

Pitanje 30
30.

Solve this equation.

15h - 9 = - 54

Pitanje 31
31.

Solve this equation.

8 - 10x = - 32

Pitanje 32
32.

Solve this equation.

- 16 - 2j = - 34

Pitanje 33
33.

Solve this equation.

Pitanje 34
34.

Solve this equation.

Pitanje 35
35.

Solve this equation.

Pitanje 36
36.

Solve this equation.

Pitanje 37
37.

Solve this equation.

Pitanje 38
38.

Pitanje 39
39.

Pitanje 40
40.

Translate this expression.

“eighteen less than a number”

Pitanje 41
41.

Translate this expression.

“twice a number plus four”

Pitanje 42
42.

Write each expression in words

-4x+13

Pitanje 43
43.

Which words or phrases have the same meaning as multiplication?

Pitanje 44
44.

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

Pitanje 45
45.

Evaluate each expression using the variable replacements.

Pitanje 46
46.

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 47
47.
Pitanje 48
48.

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

  1. The solution is a = 5

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

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

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

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

Pitanje 49
49.

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

Pitanje 50
50.

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

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

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

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

  4. The solution is x = -4

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

Pitanje 51
51.

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

Pitanje 52
52.

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

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

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

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

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

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

  6. The solution is k = 1

Pitanje 53
53.

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

Pitanje 54
54.

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

Pitanje 55
55.

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