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.
Required
5 points
5
Question 1
1.
Vocabulary: In your own words, what does it mean to isolate a variable?
Required
5 points
5
Question 2
2.
Vocabulary: In your own words, what is an inverse operation?
Required
8 points
8
Question 3
3.
Match the operation with its inverse.
Draggable item
arrow_right_alt
Corresponding Item
inverse of subtraction
arrow_right_alt
subtraction
inverse of addition
arrow_right_alt
addition
inverse of division
arrow_right_alt
division
inverse of multiplication
arrow_right_alt
multiplication
Required
2 points
2
Question 4
4.
What is the first step to solve this equation?
Required
5 points
5
Question 5
5.
Solve this equation.
Required
2 points
2
Question 6
6.
What is the first step to solve this equation?
Required
5 points
5
Question 7
7.
Solve this equation.
Required
2 points
2
Question 8
8.
What is the first step to solve this equation?
Required
5 points
5
Question 9
9.
Solve this equation.
Required
6 points
6
Question 10
10.
Put these operations in the order by which you perform them to simplify an expression. (first to last)
exponents
parentheses ( )
subtraction
division
addition
multiplication
Required
6 points
6
Question 11
11.
To solve an equation we need to undo operations to isolate a variable.So, we need toundoPEMDAS. 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)
parentheses ( )
addition and subtraction (outside of parenthesis)
multiplication and division
Video Notes: Solving 2-step equations
Required
4 points
4
Question 12
12.
Put the steps to solving this equation in the right order.
the result is x=7
divide both sides of the equation by 3
add 7 to both sides of the equation
Before we start solving, we identify the variable a, so we can solve for it the variable
Required
2 points
2
Question 13
13.
What is the second step to solving this equation?
Required
10 points
10
Question 14
14.
Solve this equation.
Required
10 points
10
Question 15
15.
Solve this equation.
17 + 3k = 26
Required
10 points
10
Question 16
16.
Solve this equation.
4b - 5 = -33
Required
10 points
10
Question 17
17.
Solve this equation.
8 + 9c = - 10
10 points
10
Question 18
18.
Solve this equation.
12y + 25 = - 35
10 points
10
Question 19
19.
Solve this equation.
15h - 9 = - 54
10 points
10
Question 20
20.
Solve this equation.
8 - 10x = - 32
10 points
10
Question 21
21.
Solve this equation.
- 16 - 2j = - 34
10 points
10
Question 22
22.
Solve this equation.
Required
10 points
10
Question 23
23.
Solve this equation.
Required
2 points
2
Question 24
24.
What is the first step to solving this equation?
10 points
10
Question 25
25.
Solve this equation.
10 points
10
Question 26
26.
Solve this equation.
10 points
10
Question 27
27.
Solve this equation.
Day 2 (9/10/24)
The examples below are different in that the multiplication/division is done FIRST, followed by the addition/subtraction.
Required
10 points
10
Question 28
28.
Solve this equation.
Required
10 points
10
Question 29
29.
Required
10 points
10
Question 30
30.
Spiral Review
Required
5 points
5
Question 31
31.
Translate this expression.
“eighteen less than a number”
Required
5 points
5
Question 32
32.
Translate this expression.
“twice a number plus four”
Required
5 points
5
Question 33
33.
Translate this expression.
"sixteen more than the quotient of a number and two”
Required
5 points
5
Question 34
34.
Write each expression in words
-4x+13
Required
8 points
8
Question 35
35.
Which words or phrases have the same meaning as multiplication?
Required
10 points
10
Question 36
36.
Directions: Give the perimeter of each figure as a simplified expression.
Required
10 points
10
Question 37
37.
Evaluate each expression using the variable replacements.
Required
10 points
10
Question 38
38.
Evaluate each expression using the variable replacements.
Required
10 points
10
Question 39
39.
Evaluate each expression using the variable replacements.
Required
10 points
10
Question 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)
1 point
1
Question 41
41.
What is the constant in the algebraic expression 5x + 2
1 point
1
Question 42
42.
What is the coefficient in the algebraic expression 5x + 2
1 point
1
Question 43
43.
What is the variable in the algebraic expression 5x + 2
Required
10 points
10
Question 44
44.
Simplify each expression by combining like terms.
Required
10 points
10
Question 45
45.
Simplify each expression by combining like terms.
Required
10 points
10
Question 46
46.
Simplify each expression by combining like terms.
Required
10 points
10
Question 47
47.
Simplify each expression by combining like terms.
Day 3 (9-12-24)
Solving Multi-Step Equations
Required
5 points
5
Question 48
48.
Use your notes from page 4 to list the 3 steps you use to solve multi-step equations.
1._______
2._______
3._______
Required
10 points
10
Question 49
49.
Put the steps in the correct order to solve this multistep equation.
Use distribution to multiply (7a+5) by -4 to get -28a - 20
Check the solution by evaluating the original expression -4(7a+5) to verify that it equals -160
undo multiplying by -28 by dividing by both sides of the equation by -28 to get a = 5
undo subtract 20 by adding 20 to both sides of the equations to get -28a = -140
The solution is a = 5
Required
10 points
10
Question 50
50.
Solve this multi-step equation. Show your work (SYW)
Required
10 points
10
Question 51
51.
Put the steps in the correct order to solve this multistep equation.
Simplify like terms to get the equation -7x - 3 = 25
undo multiplying by -7 by dividing by both sides of the equation by -7 to get x = -4
The solution is x = -4
undo subtract 3 by adding 3 to both sides of the equations to get -7x = 28
Check the solution by evaluating the original expression -4x -7 - 3x +4 to verify that it equals 25
Required
10 points
10
Question 52
52.
Solve this multi-step equation. Show your work (SYW)
Required
12 points
12
Question 53
53.
Put the steps in the correct order to solve this multistep equation.
undo subtract 6 by adding 6 to both sides of the equations to get 13k = 13
Simplify like terms to get the equation 13k - 6 = 7
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
Use distribution to multiply (5k-3) by 2 to get 3k+10k-6=7
Required
10 points
10
Question 54
54.
Solve this multi-step equation. Show your work (SYW)
Required
10 points
10
Question 55
55.
Solve this multi-step equation. Show your work (SYW)
Required
10 points
10
Question 56
56.
Solve this multi-step equation. Show your work (SYW)
Required
10 points
10
Question 57
57.
Solve this multi-step equation. Show your work (SYW)
Required
10 points
10
Question 58
58.
Solve this multi-step equation. Show your work (SYW)
