Algebra Showdown

Solving Equations

10

Solve: 2x + 5 = 11

x = 3

20

Solve: 2(7x - 4) = 34

x = 3

30

Solve: x/3 + 2 = 8

x = 18

40

Solve: 4(x - 2) + 7 = 3x + 9

x = 6

50

Solve: 5(2x - 3) - 7 = 3(3x - 1)

x = 19

Expression Vocabulary

10

In the expression 6x + 4, what is the coefficient of x?

6

20

What do we call a number that never changes and is always by itself in an expression? (example: 8 in x + 8)

Constant

30

How many terms are in the expression 7x² + 3x - 5?

Three 

40

What is the lead coefficient of the expression 7x² + 3x - 5?

7

50

What is the degree of the expression 7x² + 3x - 5?

2

Adding/Subtracting Polynomials

10

Simplify: (2x + 5) + (3x - 2)

5x + 3

20

Simplify: (4x² + 2x) - (x² - 5x + 7)

3x² + 7x - 7

30

Add: (x² + 3x + 1) + (2x² - x - 5)

3x² + 2x - 4

40

Subtract: (5x² + 2x + 6) - (3x² - 4x + 1)

2x² + 6x + 5

50

Distribute and Combine like terms:

2(x² + 4x + 3) + 5(3x² - 2x + 1)

17x² - 2x + 11

Real World Applications

10

A movie ticket costs $12. If you have $48, how many tickets can you buy?

4

20

You join a gym for $40 plus $10 per class, c. Write an equation for how many classes you can attend with $100 total.

40 + 10c = 100

30

You join a gym for $30 plus $5 per class. How many classes you can attend with $80 total?

10 classes

40

You earn $12 per hour babysitting. How many hours do you need to work to earn $150?

12.5 hours

50

Sophia is throwing a party for 500 people. Each round table holds 5 seats and each square table holds 4 seats. Rewrite the equation to help Sophia solve for the number of round tables. 

5r + 4s = 500

r = 100 - 0.8s

Miscellaneous

10

Solve 3x + 2 = 3x + 5

No Solutions

20

Solve: 5(x - 1) = 5x - 5

Infinitely Many Solutions

30

Solve: 2x - 3 > 7

x > 5

40

Solve: -2x + 7 < 29 

x > -11

50

Solve for x: 

2x + 6y = 34

x = 17 + 3y