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Unit 4 Study Guide (Due 2/1/2024)

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Last updated about 1 year ago
18 questions
Required
9
Required
5
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3
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2
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2
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6
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20
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20
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10
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10
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10
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10
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20
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20
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20
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10
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20
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20

Day 1 (1/30/24)

Solving Systems of Equations by Graphing

Slope-Intercept Form



Slope (m)

y-intercept (b)

Question 1
1.
The slope of a line is the ratio of __________ over __________. Another name for slope is __________.
Question 2
2.

Write the equation in slope intercept form with the given information:

Question 3
3.

Click on the y-intercept

Finding Intercepts

Question 4
4.

Identify the coordinate (3,0)

Question 5
5.

Identify the coordinate (0,3)

Question 6
6.
What are the x and y-intercepts of this function? (Do not use spaces when you enter the coordinates)

x-intercept
_______
y-intercept
_______
Question 7
7.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Question 8
8.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Solving Systems of Equations by Substitution

Question 9
9.

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Question 10
10.

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Question 11
11.

Directions: Solve each system by substitution.

Be sure to write your solution in coordinate form (x,y)

Day 2 (1/31/24)

Solving Systems of Equations by Elimination

Question 12
12.

Solve each system of equations by elimination.

Question 13
13.

Solve each system of equations by elimination.

Question 14
14.

Solve each system of equations by elimination.

Solving Systems of Equations Based on Real-World Situations

Question 15
15.
Solve each word problem using substitution or elimination.

The length of a rectangle is equal to triple the width. If the perimeter is 96 centimeters, what are the length and width of the rectangle?

Remember that the perimeter in terms of length and width is:

2l + 2w



Length _______ cm
Width _______ cm


Question 16
16.
Solve each word problem using substitution or elimination.

The perimeter of a rectangle is 60 inches. If the length is 10 inches longer than the width,
find the dimensions of the rectangle.

Length _______in

Width _______in

Question 17
17.
Solve each word problem using substitution or elimination.

Your next math test is worth 144 points and contains 40 problems. True/False questions are worth 2 points each and multiple-choice questions are worth 4 points each. How many of each type of question are there?

# of T/F questions_______
# of Multiple Choice Questions _______
Question 18
18.
Solve each word problem using substitution or elimination.

One number is added to three times another number is 24. Five times the first number
added to three times the other number is 36. Find the numbers.


1st Number _______
2nd Number _______