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Biblioteka

1.5 Solving Equations Basics (Original)

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Posljednje ažuriranje 3 months ago
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Napomena autora:
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Day 2

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

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Day 3 9-1-22

Spiral Review

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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 subtraction

arrow_right_alt

subtraction

inverse of division

arrow_right_alt

addition

inverse of addition

arrow_right_alt

division

inverse of multiplication

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. parentheses ( )

  2. addition

  3. subtraction

  4. multiplication

  5. division

  6. exponents

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. addition and subtraction (outside parentheses)

  2. multiplication and division

  3. parentheses ( )

Video Notes: Solving 2-step equations

Pitanje 12
12.

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

  1. the result is x=7

  2. add 7 to both sides of the equation

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

  4. divide both sides of the equation by 3

Pitanje 13
13.

Solve this equation.

Pitanje 14
14.

What is the first step to solving this equation?

Pitanje 15
15.

What is the second step to solving this equation?

Pitanje 16
16.

Solve this equation.

Pitanje 17
17.

Solve this equation.

17 + 3k = 26

Pitanje 18
18.

Solve this equation.

4b - 5 = -33

Pitanje 19
19.

Solve this equation.

8 + 9c = - 10

Pitanje 20
20.

Solve this equation.

12y + 25 = - 35

Pitanje 21
21.

Solve this equation.

15h - 9 = - 54

Pitanje 22
22.

Solve this equation.

8 - 10x = - 32

Pitanje 23
23.

Solve this equation.

- 16 - 2j = - 34

Pitanje 24
24.

Solve 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.

Write each expression in words

-4x+13

Pitanje 34
34.

Which words or phrases have the same meaning as multiplication?

Pitanje 35
35.

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

Pitanje 36
36.

Evaluate each expression using the variable replacements.

Pitanje 37
37.

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 38
38.
Pitanje 39
39.

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. The solution is a = 5

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

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

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

Pitanje 40
40.

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

Pitanje 41
41.

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

  1. The solution is x = -4

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

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

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

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

Pitanje 42
42.

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

Pitanje 43
43.

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. The solution is k = 1

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

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

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

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

Pitanje 44
44.

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

Pitanje 45
45.

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

Pitanje 46
46.

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

Pitanje 47
47.

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

Pitanje 48
48.

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