Systems of Equations

Starts With S

100

More than one equation to be solved at the same time is know as this.

What is System of Equations

200

The ratio of rise to run

What is slope?

300

The answer to an equation or system of equations.

What is a solution set?

400

y = mx + b is more formally known as this.

What is slope-intercept form.

500

The method of solving systems of equations by replacing variables with other numbers or variables.

What is substitution?

Solving by Graphing

100

Solve by graphing:

y = x + 4
y = 2x + 5

What is (-1,3)?

200

The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?

300

The solution to the system of equations:

y = -3
x = 5

What is (5, -3)

400

Does the following system have one solution, no solution, or infinite solutions?

y = 1/3x - 3
2x - y = 8

What is one solution?

500

Does the following system have one solution, no solution, or infinite solutions?

y - 3x = 3
y = 3x - 2

What is no solution?

Solving by Elimination

100

The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?

200

The solution to the system:

8a + 5b = 9
2a - 5b = -4

What is (0.5, 1)?

300

The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?

400

Free points!

:)

yay

500

How do you solve a system of equation by elimination?

What is find a variable that can be crossed out or multiply the equations until you can cross out a variable?

Solving by Substitution

100

The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)

200

The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)

300

The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)

400

The solution to the system

3s - 2t = 4
t = 2s - 1

What is (-2, -5)

500

How do you solve a system of equations by substitution?

What is replace a variable with another number or variable, solve, then go back and solve for the other variable for your answer?

Word Problems

100

The sum of two numbers is 104. Their difference is 68. What are the numbers?

What are 86 and 18?

200

Free points! :)

yay

300

Ms. Clark bought 10 pizzas and 5 sodas for $85. Ms. Clark had a coupon for free sodas. She used the coupon and bought an additional pizza for $47. Ms. Clark is pretty sure they overcharged her for the extra pizza and that the cashier was being petty. How much does each pizza and soda really cost? (Hint: use p for pizza and s for soda in your equations)

What is $12 and $-7? (How do you charge -7 dollars????)

400

Ms. Willis wants to buy some yarn to crochet a dress. She needs 5 balls of pink yarn and 2 balls of yellow yarn. She bought all the yarn for 80 dollars. When she got home, she found out that she needed one more ball of pink yarn and that she needed to return the 2 balls of yellow yarn. When she returned the yellow yarn and bought the new pink one, the total cost was $40. Ms. Willis thinks that the pricing was fishy. How much does one ball of pink yarn and one ball of yellow yarn cost?

What is pink= $20 and yellow= $-10 (HOW CAN YOU CHARGE NEGATIVE 10 DOLLARS???)

500

The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.

What is $15,000 for the son and $10,000 for the daughter?