Multi-Step Equations
Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
100

Solve. 

2x - 3 + 4x = 27

x = 5

100
The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

What is II
100
The solution to the system of equations:

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

What is (-8, 2)?
100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
200

Solve. 

7x = 3x + 24

x = 6

200
The solution to the system of equations:

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

What is (0, -2)?
200
The solution to the system:

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

What is (0.5, 1)?
200
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
200
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
300

Solve.

10x + 9 = 4x - 9

x = -3

300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300
The solution to the system:

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

What is (-15, 12)?
300
The solution to the system

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

What is (3, 8)
300

 Angelo bought apples and bananas at the fruit stand.  He bought 20 pieces of fruit and spent $11.50.  Apples cost $0.50 and bananas cost $0.75 each.  How many apples and bananas did Angelo buy?

14 apples & 6 bananas

400

Solve.

7w + 5 = 3w - 15

x = -5

400
The solution to the system of equations

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

What is (3, -2)
400
The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?
400
The solution to the system

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

What is (-2, -5)
400

 Marta bought new fish for her home aquarium.  She bought 3 guppies and 2 platies for a total of $13.95.  Hank also bought guppies and platies for his aquarium.  He bought 3 guppies and 4 platies for $18.33.  Find the price of one guppy and one platy.

Guppy - $3.19

Platy - $2.19

500

Solve.

4(1 - x) + 3x = -2(x + 1)

x = -6

500
The solution to the system of equations:

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

What is no solution?
500
The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)
500
The solution to the system

t + u = 12
t = (1/3)u

What is (3, 9)?
500

 Mrs. Morales wrote a test with 15 questions covering spelling and vocabulary.  Spelling questions (s) are worth 5 points each and vocabulary (v) questions are worth 10 points each.  The maximum number of points possible on the test is 100.  How many of each question type are on the test?

10 spelling and 5 vocabulary

M
e
n
u