Log in
Sign up for FREE
arrow_back
Library

1.5 Solving Multi-step Equations (Due 9/16/2024)

star
star
star
star
star
Last updated about 2 months ago
29 questions
Note from the author:
Required
2
Required
2
Required
2
Required
2
Required
2
Required
2
Required
15
Required
8
Required
10
Required
8
Required
10
Required
12
Required
10
Required
10
Required
10
Required
10
Required
10
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 linear equations?

Learning Target: Students will be able to solve equations that contain more than three steps to solve.

Complete the entire assignment and show work for full credit.

When answering question that require writing, use complete sentences that are in your own words.

Required
4
Required
10
Required
8
Required
5
Required
8
Required
8
Required
3
Required
2

Solving Multi-Step Equations

Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

Question 13
13.

Question 14
14.

Question 15
15.
Use your notes from page 3 to list the 3 steps you use to solve multi-step equations.

1._______
2._______
3._______
Question 16
16.

Question 17
17.

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

Question 18
18.

Question 19
19.

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

Question 20
20.

Question 21
21.

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

Question 22
22.

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

Question 23
23.

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

Question 24
24.

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

Question 25
25.

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

Learning Log

Required
5
Required
5
Required
5
Required
10

Spiral Review

Question 1
1.

Question 2
2.

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 3
3.

Question 4
4.

Write each expression in words

9x

Question 5
5.

Question 6
6.

Question 7
7.

Question 8
8.

Name the opposite of this integer.
-9

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


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



Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
Simplify like terms to get the equation 13k - 6 = 7
undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
The solution is k = 1
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
Question 26
26.

Question 27
27.

Question 28
28.

Question 29
29.

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.
6-(-10)
13+16
5-(-5)
-13+16
13-(-16)
5+5
-13-(-16)
6+10
Which words or phrases have the same meaning as addition?
groups of
less than
increased by
multiply
product
split
total
more than
how many groups of_____ are in_____
together
Which words or phrases have the same meaning as subtraction?
together
___ groups of ___
less than
difference
increased by
how many groups of_____ are in_____
groups of
multiply
decreased by
the distance between
product
Which words or phrases have the same meaning as division?
total
less than
minus
split in half
increased by
put into four equal parts
multiply
how many groups of_____ are in_____
more than
product
divide
What should I do FIRST to solve this problem?
-11 = 2y + 3
add 3 to each side
subtract 3 from each side
add 11 to each side
divide by 2 one each side