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1.5 Solving Multi-step Equations (Due 9/8/2023)

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44 questions
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Essential Question: How do you solve multi-step equations with variable on both sides of the equal sign?

Learning Target: Students will be able to solve equations with variables on both sides of the equal sign that represent real-world problem.

Complete the entire assignment and show work for full credit.
Essential Question: How do you solve multi-step equations with variable on both sides of the equal sign?

Learning Target: Students will be able to solve equations with variables on both sides of the equal sign that represent real-world problem.

Complete the entire assignment and show work for full credit.

Day 1 9/5/23

Solving Multi-Step Equations

Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.
Use your notes from page 4 to list the 3 steps you use to solve multi-step equations.

1._______
2._______
3._______
Question 9
9.

Question 10
10.

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

Question 11
11.

Question 12
12.

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

Question 13
13.

Question 14
14.

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

Question 15
15.

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

Question 16
16.

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

Question 17
17.

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

Question 18
18.

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

Day 3 9-7-23

Spiral Review

Question 19
19.

Question 20
20.

Name the opposite of this integer.
-9

Question 21
21.

Draggable itemarrow_right_altCorresponding Item
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Question 22
22.

Write each expression in words

9x

Question 23
23.

Question 24
24.

Question 25
25.

Question 26
26.

Directions: Simplify each expression.

Question 27
27.

Simplify each expression by distributing and combining like terms.


Question 28
28.

Simplify each expression by distributing and combining like terms.


Question 29
29.

Evaluate each expression using the variable replacements.


Question 30
30.

Evaluate each expression using the variable replacements.


Day 3 9-7-23

Solving Equations with Variables on Both Sides

Question 31
31.

What term goes in the boxes?

Question 32
32.

Fill in box 3.

Question 33
33.

Solve this equation

Question 34
34.

What term goes in the boxes?

Question 35
35.

Fill in box 3.

Question 36
36.

Solve this equation

Question 37
37.

Solve this equation

Question 38
38.

Solve this equation

Question 39
39.

Solve this equation

Question 40
40.

Solve this equation

Question 41
41.

Solve this equation

Question 42
42.

Solve this equation

Question 43
43.

Solve this equation

Question 44
44.

Solve this equation

When solving two-step equations, always start with the __________.
constant (the number by itself)
coefficient (the number next to the variable)
answer (the number on the other side of the equal sign)
What should I do FIRST to solve this problem?
3x + 5 = -16
divide by 3 on each side
add 16 to each side
add 5 to each side
subtract 5 from each side
What should I do FIRST to solve this problem?
-7 + 5f = 23
add 7 to each side
divide by 5 on each side
subtract 7 from each side
subtract 23 from each side
What should I do FIRST to solve this problem?
-11 = 2y + 3
add 3 to each side
subtract 3 from each side
divide by 2 one each side
add 11 to each side
What are the steps I need to solve this problem?
2x + 5 = 21
subtract 5 from each side, then divide by 2 on each side
subtract 21 from each side, then divide by 2 on each side
subtract 5 from each side, then subtract 2 from each side
divide by 2 on each side, then subtract 5 from each side
What are the steps I need to solve this problem?
-15 - 2k = -5
divide by -2 on each side, then add 15 to each side
add 5 to each side, then divide by -2 on each side
add 15 to each side, then divide by -2 on each side
subtract 15 from each side, then divide by -2 on each side
What are the steps I need to solve this problem?
6 = -4 + 2g
add 4 to each side, then divide by 2 on each side
subtract 4 from each side, then divide by 2 on each side
divide by 2 on each side, then add 4 on each side
subtract 6 from each side, then divide by 2 on each side
Put the steps in the correct order to solve this multistep equation.


Use distribution to multiply (7a+5) by -4 to get -28a - 20=-160
undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
The solution is a = 5
Check the solution by evaluating the original expression -4(7(5)+5) to verify that it equals -160
Put the steps in the correct order to solve this multistep equation.


Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
The solution is x = -4
undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
Simplify like terms to get the equation -7x - 3 = 25
Put the steps in the correct order to solve this multistep equation.



The solution is k = 1
Simplify like terms to get the equation 13k - 6 = 7
Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
Check the solution by evaluating the original expression 3k+2(5k-3) to verify that it equals 7
undo multiplying by 13 by dividing by both sides of the equation by 13 to get k = 1
undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
Vocabulary Review: Classify the equation(s) in which the variable is isolated.
The variable is isolated
Match each double negative subtraction problem with its simplified equivalent.
5-(-5)
13+16
6-(-10)
-13+16
-13-(-16)
5+5
13-(-16)
6+10
Which words or phrases have the same meaning as addition?
multiply
product
together
less than
more than
increased by
groups of
total
split
how many groups of_____ are in_____
Which words or phrases have the same meaning as subtraction?
the distance between
increased by
groups of
decreased by
product
multiply
less than
___ groups of ___
how many groups of_____ are in_____
together
difference
Which words or phrases have the same meaning as division?
more than
product
put into four equal parts
split in half
less than
minus
how many groups of_____ are in_____
total
divide
multiply
increased by