One Step Equations
Solve for x:
x + 4.653 = 37.75
x = 33.097
Solve for x
3x + 4 = 43
x = 13
You are tasked with solving a system of equations by graphing. Your first step is to plot the system on a coordinate plane. What is your next step?
Look for where the functions intersect.
How many solutions exist in a system of equations with 1 quadratic function and 1 linear function?
2 solutions exist in this system.
What is the name of the super helpful ONLINE graphing calculator we used in class?
The online graphing calculator is called Desmos
Solve for x:
12x = 132
x = 11
Solve for x:
4(x−2)=20
x = 7
This method for solving systems involves adding or subtracting equations to cancel out one of the variables and solve for the other.
What is the elimination method?
Georgie joins a gym. She pays $25 to sign-up and then $15 each month. How much will Georgie have paid if she used the gym for 5 months?
Georgie will have paid $100
Name 3 school traditions you'll experience this year as freshmen OTHER THAN JUNIOR SISTER/FRESHMAN SISTER
Halloween Assembly, Christmas Assembly, Step-Up Day, Retreat, Lock-In, the Food Drive, Spirit Week, Freshmen Family Picnic, and more!!
Solve for x:
81*(1/x) = 3
x = 27
Solve for x:
2(3x−4)−5=x+7.
x = 4
Solve the following system using the substitution method:
y = -2x
y = 3x+5
(-1, 2)
The sum of 3 consecutive numbers is 48. What is the second of the three numbers added together?
The second number is 16.
What do we call the part of a polynomial that tells us to multiply a variable?
A part of a polynomial that tells us to multiply a variable is called a coefficient.
Solve for x:
x2 = 225
x = 15
Find the value of the following expression if x = 3:
(2x+3)/x
The value of the expression is 3.
Apply the elimination method to solve the system
3x+2y=7
3x−4y=4
(2, .5)
A local gym offers a membership plan with a one-time sign-up fee of $40 and a monthly fee of $30. Another gym charges a $20 sign-up fee and a monthly fee of $40. After how many months will the total costs for both gyms be the same?
The memberships will cost the same after 2 months.
Name one of the founders of Preston High School.
PHS was founded by the Sisters of the Divine Compassion, Monsignor Thomas Preston, and Mother Mary Veronica Starr.
The square root of x is equal to 13. What is x?
x = 169
Solve for x:
3(2x−2)−4(x+3)=2(2x−5)+10.
x = -9
A store sells pencils and erasers. A customer buys 4 pencils and 3 erasers for a total of $12.50, and another customer buys 2 pencils and 5 erasers for a total of $15.00. Create and solve a system of equations to determine the cost of a pencil and an eraser.
x = 1.25 (pencils)
y = 2.50 (erasers)
Malia and Ashley are comparing followers on Instagram. Malia has 4x2+2x3+3+x followers. Ashley has x3+1-2x+x2 followers. How many more followers does Malia have than Ashley? Give your answer in standard form.
Malia has x3+3x2+3x+2 followers more than Ashley.
A triangle has a base of 4m and a height of 5m. How long is the triangle's hypotenuse to the nearest tenth of a meter?
The hypotenuse is 6.4m long.