Unit 4 Study Guide (Due 3/4/25)

Day 1 (3/3/25)

Solving Systems of Equations by Graphing

Slope-Intercept Form


Slope (m)
y-intercept (b)

Standard Form (Intercept Form)

Required

9

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

Required

5

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

Required

3

Click on the y-intercept

Finding Intercepts

Required

2

Identify the coordinate (3,0)

Required

2

Identify the coordinate (0,3)

Required

6

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

x-intercept
_______ 
y-intercept
_______ 

Required

20

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)

Required

20

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

Required

10

Directions: Solve each system by substitution.

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

Required

10

Directions: Solve each system by substitution.

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

Required

10

Directions: Solve each system by substitution.

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

Day 2 (3/4/25)

Solving Systems of Equations by Elimination

Required

10

Solve each system of equations by elimination.

Required

20

Solve each system of equations by elimination.

Required

20

Solve each system of equations by elimination.

Solving Systems of Equations Based on Real-World Situations

Required

20

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

Required

20

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 _______  

Required

20

Solve each word problem using substitution or elimination.

A local theater is selling tickets for a concert. Adult tickets cost $20 each, and student tickets cost $15 each. The theater has sold a total of 200 tickets and collected $3,400. How many adult tickets and how many student tickets were sold?

Number of Adult tickets sold _______ 
Number of Student tickets sold _______  

Required

20

Solve each word problem using substitution or elimination.

A chemist wants to create 100 liters of a 25% acid solution by mixing two existing solutions. One solution is 10% acid, and the other is 40% acid. How many liters of each solution should the chemist use?

1st solution has _______ 
2nd solution has _______  

Required

20

Solve each word problem using substitution or elimination.

Ms. Arce has chickems and cows on her farm. She counts a total of 50 heads and 140 legs. How many chickens and how many cows does she have?

The number of chickems_______ 

The number of cows _______

Unit 4 Study Guide (Due 3/4/25)

Day 1 (3/3/25)

Solving Systems of Equations by Graphing

Slope-Intercept Form

Slope (m)

y-intercept (b)

Standard Form (Intercept Form)

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

Click on the y-intercept

Finding Intercepts

Identify the coordinate (3,0)

Identify the coordinate (0,3)

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)

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

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Day 2 (3/4/25)

Solving Systems of Equations by Elimination

Solve each system of equations by elimination.

Solve each system of equations by elimination.

Solve each system of equations by elimination.

Solving Systems of Equations Based on Real-World Situations

2l + 2w

Day 1 (3/3/25)

Solving Systems of Equations by Graphing

Slope-Intercept Form

Slope (m)

y-intercept (b)

Standard Form (Intercept Form)

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

Click on the y-intercept

Finding Intercepts

Identify the coordinate (3,0)

Identify the coordinate (0,3)

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)

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

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Directions: Solve each system by substitution.Be sure to write your solution in coordinate form (x,y)

Day 2 (3/4/25)

Solving Systems of Equations by Elimination

Solve each system of equations by elimination.

Solve each system of equations by elimination.

Solve each system of equations by elimination.

Solving Systems of Equations Based on Real-World Situations

2l + 2w

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)

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)

Directions: Solve each system by substitution.

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

Directions: Solve each system by substitution.

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

Directions: Solve each system by substitution.

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

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)

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)

Directions: Solve each system by substitution.

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

Directions: Solve each system by substitution.

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

Directions: Solve each system by substitution.

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