Writing Equations
Solving Equations
Linear Graphs
System of Equations
Equivalent Equations
100
A Softball team is ordering pizza to eat after their tournament. They plan to order cheese Pizza that costs $6 each and four-topping pizzas that cost $10 each. The order c cheese pizzas and f four-topping pizzas. Which expression represents that total cost of all the pizzas they order?
6c+10f
100
Solve this equation.
15=5x-10
x=5
100
Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought. How many ounces of food were in the bag 12 days after Andre bought it?
36 ounces of cat food
100
Identify a solution to this system of equations:
1. -4x+3y=23
2. x-y=-7
(-2,5)
100
Which equation is equivalent to the equation 6x+9=12?
a. x+9=6
b. 2x+3=4
c. 3x+9=6
d. 6x+12=9
b. 2x+3=6
200
Blueberries are $4.99 dollars a pound. Jada buys p pounds of blueberries and pays c dollars. Write and equation to represent this situation.
4.99p=c
200
Solve this equation.
(1/2)(14x)=28
x=4
200
Select all coordinate pairs that represent a solution to the equation.
a. (2,-3)
b. (4,0)
c. (5,-1)
d. (0,-6)
e. (2,3)
a. (2,3)
b. (4,0)
d. (0,-6)
200
Is (5,-4) a solution to the system of equations
1. 3x-2y=23
2. 2x+y=6
Yes (5,-4) is a solution
200
Which is an equivalent expression for the expression 6+3y+4y+5.
a. 7y+11
b. 7y+1
c. y+11
d. 11y+7
a. 7y+11
300
A coach for a little league baseball team is ordering trophies for the team. Players on the team are allowed to choose between 2 types of trophies. The gold baseball trophies cost $5.99 each and the uniform baseball trophies cost $6.49 each. The team orders g gold baseball trophies and u uniform baseball trophies. Write an expression that could represent the total cost of all of the trophies.
5.99g+6.49u
300
Priya is buying raisins and almonds to make trail mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. the relationships between pounds of almonds a, pounds of raisins r, and the total cost is represented by the equation 5.20a+2.75r=11.70. How many pounds of raisins did Priya buy if she bought 2 pounds of almonds?
0.4727 pounds of raisins
300
A group of hikers is progressing steadily along an uphill trial. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles. What is the slope of the graph?
slope= 250 ft elevation/miles
300
Decide whether each (x,y) pair is a solution to the system of equations
1. 6x+4y=34
2. 5x-2y=15
a. (3,4)
b. (4,2.5)
c. (5,5)
d. (3,2)
b. (4,2.5)
300
Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The equation 0.05n+0.1d=3.65 is one way to represent this situation. Which equation is equivalent to the equation 0.05n+0.1d=3.65
a. 5n+d=365
b. 0.5n+d=365
c. 5n+10d=365
d. 0.05d+0.1n=365
a. 5n+d=365
400
Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her account. Write and equation that represents the money left in her bank account after w weeks.
225-20w=d
400
The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40. There are 21 students in the drama club. If there are 21 students in the club and the t-shirt order costs a total of $187, how much does each t-shirt cost?
each t-shirt will cost $7
400
Which graph represents the equation 12=3x+4y? Explain how you know.
Graph number 1
400
Here is a system of equations:
1. 6x+21y=103
2. -6x+23=51
would you rather use subtraction or addition to solve this system with elimination? Explain your reasoning
Addition, since 6x and -6x are already opposites to adding the two equations will eliminate the x variable allowing us to solve for y first.
400
Select all equations that have the same solution
2x-5=15
a. 2x=10
b. 2x=20
c. 2(x-5)=15
d. 2x-20=0
e. 4x-10=30
f. 15=5-2x
b. 2x=20
d. 2x-20=0
e. 4x-10=30
500
Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books an will pay $12.20 an hour. To go to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare. Write an equation that represents if Jada takes home $90.45 after working h hours and after paying the bus fare.
90.45=12.2h-7.15
500
Kiran is collecting dimes and quarters in a jar. He has collected $10 so far and had d dimes and q quarters. The relationship between the numbers of dimes and quarters, and the amount of money in dollars is represented by the equation 0.1d+0.25q=10. Select all the values (d,q) that could be solutions.
a. (100,0)
b. (20,50)
c. (50,20)
d. (0,100)
e. (10,36)
a. (100,0)
c. (50, 20)
e. (10, 36)
500
A school sells adult tickets and student tickets for a play. It collects $1,400 in total. The graph shows the possible combinations of the number of adult tickets sold and the number of student tickets sold. What does the vertical intercept (0,100) tell us in this situation?
It tells us that if no adult tickets were sold, then 200 students tickets were sold.
500
Tyler is solving this system of equations:
1. 4p+2q=62
2. 8p-q=59
He can think of two ways to eliminate a variable and solve the system:
- multiply 4p+2q=62 by 2 then subtract 8p-q=59 from the result
- multiply 8p-q=59 by 2 then add the result to 4p+2q=62
Do both strategies work for solving the system? Explain your reasoning.
The first strategy does not work since it won't eliminate any variables. The second strategy works as since it will allow us to eliminate the q variables and then solve for p.
500
Here is a linear equation in two variables:
2x+4y-31=123 Solve the equation for x.
x=77-2y