Math Club #5: Algebra Edition

Units

Linear equations w/ ()

# of solutions to equations?

Factor quadratics

evaluate expressions with variables

100

1 in = ? cm

= 2.54 cm

100

(8/3)c - 2 = (2/3)c - 12

c = ?

c = -5

100

−3x+9−2x=−12−5x

Answer choices:

A. No solutions

B. One solution

C. Infinitely many solutions

No solution

HOW TO:

Simplify equation and isolate x. Then evaluate with the following criteria.

An equation of the form x=a (where a is any number). In this case, the equation has exactly one solution.
An equation of the form a=a (where a is a number). In this case, the equation has infinite solutions.
An equation of the form a=b (where a and b are different numbers). In this case, the equation has no solutions.

100

***Daily Double!!!

−4x² − 28x − 48 = ?

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

HOW TO:

Factor out the greatest common factor

100

Evaluate 5c - 3d + 11 when c = 7 and d = 8

=22

200

***Daily Double!!!

1 gallon = ? cups

= 16 cups

200

16 - 3p = (2/3)p + 5

p = ?

p = 3

200

−6(x + 7) = −4x − 2

Answer choices:

A. No solutions

B. One solution

C. Infinitely many solutions

One solution

HOW TO:

Simplify equation and isolate x. Then evaluate with the following criteria.

An equation of the form x=a (where a is any number). In this case, the equation has exactly one solution.
An equation of the form a=a (where a is a number). In this case, the equation has infinite solutions.
An equation of the form a=b (where a and b are different numbers). In this case, the equation has no solutions.

200

6x²− 18x − 60 = ?

6(x + 2) (x -5)

HOW TO:

Factor out the greatest common factor

200

Evaluate 10m + (n²/4) when m = 5 and n = 4.

=54

300

1 yd = ? ft

= 3 ft

300

0.75(8 + e) = 2 − 1.25e

e = ?

e = -2

300

−14(z − 5)=−14z + 70

Answer choices:

A. No solutions

B. One solution

C. Infinitely many solutions

Infinitely many solutions

HOW TO:

Simplify equation and isolate x. Then evaluate with the following criteria.

An equation of the form x=a (where a is any number). In this case, the equation has exactly one solution.
An equation of the form a=a (where a is a number). In this case, the equation has infinite solutions.
An equation of the form a=b (where a and b are different numbers). In this case, the equation has no solutions.

300

2x²+ 7x + 3 = ?

(x+3) (2x+1)

300

Evaluate 7r - (15/s) when r = 3 and s = 5.

=18

400

1 g = ? kg

= 0.01 kg

400

***Daily Double!

0.5(5 − 7x) = 8 − (4x + 6)

x = ?

6s - 4 = 8( 2+(1/4)s))

s = ?

x = -1

s= 5

400

−9(x + 6) = −9x + 108

Answer choices:

A. No solutions

B. One solution

C. Infinitely many solutions

No solutions

HOW TO:

Simplify equation and isolate x. Then evaluate with the following criteria.

An equation of the form x=a (where a is any number). In this case, the equation has exactly one solution.
An equation of the form a=a (where a is a number). In this case, the equation has infinite solutions.
An equation of the form a=b (where a and b are different numbers). In this case, the equation has no solutions.

400

3x²− 20x −7 = ?

(3x+1) (x−7)

400

Evaluate 8 - (m/n) + p² when m = 8, n = 2, p =7

=53

500

1 ton = ? lbs

= 2000 lbs

500

0.2(10 − 5c) = 5c − 16

c= ?

2.5 (4k + 2) = 12k

k = ?

c= 3

k = 2.5

500

***Daily Double!!!

−5(z + 1) = −2z + 10

Answer choices:

A. No solutions

B. One solution

C. Infinitely many solutions

−25z + 1 + 35z = 10z + 1

Answer choices:

A. No solutions

B. One solution

C. Infinitely many solutions

#1 One solution

#2 Infinitely many solutions

HOW TO:

Simplify equation and isolate x. Then evaluate with the following criteria.

An equation of the form x=a (where a is any number). In this case, the equation has exactly one solution.
An equation of the form a=a (where a is a number). In this case, the equation has infinite solutions.
An equation of the form a=b (where a and b are different numbers). In this case, the equation has no solutions.

500

12x²+ 17x + 6 = ?

(3x+2) (4x+3)

500

Evaluate (p/4) + pq when p = 8 and q = 6

=50