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

6x− 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

2x+ 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!

#1 

0.5(5 − 7x) = 8 − (4x + 6)

x = ? 

#2

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

3x− 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!!!

#1

−5(z + 1) = −2z + 10

Answer choices: 

A. No solutions 

B. One solution 

C. Infinitely many solutions 

#2

−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

12x+ 17x + 6 = ?

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

500

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


=50

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