When you graph equations, what part on the graph is your solution?
What is the intersection point?
100
What must you remember when doing elimination?
What is
-variables on same side of equal sign
-variables must line up
-need to get a variable to cancel when you add the lines together
100
List the steps in order to use subsititution.
What is
1. Get a variable by itself.
2. Substitute that variable into the second equation.
3. Solve for variable.
4. Solve for other variable.
100
What are keys things you must remember when using matrices?
What is
-variables need to be on the same side of the = sign
-variables need to line up
-the first variable is the top answer
- use 2 by 2 matrices and 2 by 1
-type the numbers that go with each variable in A and the numbers on the other side of equal sign in B.
100
Kimberly is moving into a new apartment. She can rent a truck to move for $59.88 plus $0.49 per mile. U-Haul would charge $81 plus $.038 per mile. Find the equations for this problem and find the solution.
What is y=.49x +59.88
y=.38x + 81
If you drive 192 miles then the cost is the same for both companies.
200
Use the graphing method to solve the system of equations:
y= -x +4
y= x -2
What is (3,1)
200
Kristen bought 1 pair of heels and 1 pair of flip-flops. Together she spent $124. The heels cost more than the flip flops. The difference of the shoes is $28. How much did the flip flops cost?
What is $48?
200
Betty bakes cookies. She baked a total of 16 sugar and chocolate chip cookies. The number of sugar cookies is 3 times the number of chocolate chip cookies. How many of each type did she bake.
What is 4 chocolate chip and 12 sugar.
200
What would Matrix A and Matrix B look like for this problem?
B + C = 220
.75B + .5C = 136.50
What is teacher will check
200
Bob has a bag full of dimes and quarters. He has 20 coins worth $3.80. How many quarters does Bob have?
What is 12?
300
The Dallas Cowboys scored 20 points in their last game. They made touchdowns (including extra points) and field goals. They scored 4 times. What equations represent this data? How many touchdowns and field goals did the Cowboys make?
What is
7t + 3f = 20
t + f = 4
2 touchdowns
2 field goals
300
The Grand Movie Theater charges $5 for adult tickets and $2 for a child's ticket. One Saturday, the theater sold 785 tickets for $3280. How many adult tickets were sold?
What is 570?
300
Dairy Queen sells sundaes for $2 and banana splits for $3. On Monday, the shope sold 8 more sundaes than banana splits and made $156. How many sundaes were sold?
What is 36?
300
Sean has $21.40 in dimes and quarters. He has 100 coins. How many dimes does he have?
What is 24 dimes?
300
In the band, there are 16 more flute players than oboe players. The total number of flute and oboe players is 66. How many oboe players were there?
What is 25?
400
Susan is buying a new car. The sports car costs $12000 to buy but the insurance is $2300 per year. The SUV coasts $21000 to buy and the insurance is $800 a year. Find the solution and explain what the solution means in terms of the problem.
What is
In 6 years both cars will cost $25800
400
Beth took a total of 10 people to the movies. Some were adults and some were children. Adult tickets cost $8 and childrens tickets cost $6 and Beth spent a total of $74. How many adults went to the movies?
What is 7?
400
The length of a rectangle is equal to triple the width. The perimeter is 85 centimeters. What is the width?
What is 10.625 centimeters?
400
A coin collection of nickels and dimes is valued at $8.50. There are 3 times as many nickels as dimes. How many coins of each type are there in the collection?
What is 34 dimes and 102 nickels.
400
The width of the pool is 3 meters less than the length. The distance around the pool is 60 meters. Find the length of the pool?
What is 11 meters?
500
Jenny bought comedy and drama DVD's from Blockbuster. Comedies, x, costs $2 each and Dramas, y, costs $1 each. She spent $57. She bought 3 less dramas than comedies. How many dramas did she buy?
What is 17 dramas.
500
Phil bought 8 pizzas and 5 sodas costing $71. Later he bought 3 pizzas and 2 sodas costing $27. How much would 1 pizza and 1 soda cost?
What is $10?
500
Debra has some nickels and dimes. The number of nickels is 10 more than twice the number of dimes. The total amount of money is $6.50. How many nickels does Debra have?
What is 70?
500
3 pens and 2 notebooks cost $8.25. 2 pens and 3 notebooks cost $8.00. How much would 1 pen costs?
What is $1.75?
500
Write a word problem that represents the system of equations given:
x + y = 42
y = 2x + 5