Equivalent Expressions
Two-Step Equations
Expressions: Factoring Out the GCF
Translating Word Problems
Challenge Problems
100
Distribute: 4 ( x + 2 )
4x + 8
100
-4x + 12 = 24
x = -3
100
Factor:
32c - 24
8 ( 4c - 3 )
100
A number, x, increased by 7 is 15
x + 7 = 15
100
2 ( x + 3 ) = 10
x = 2
200
Combine like terms: 3x + 5 + 2x − 1
5x + 4
200
3⁄5g + 9 = 27
g = 30
200
Factor:
-18x - 36
-6 ( 3x + 6 )
200
Twice a number, g, minus 4 is 10
2g - 4 = 10
200
Write an equation for: "Three times a number plus 8 is 26
3x + 8 = 26
300
Distribute: -9 (2x - 4 )
-18x + 36
300
5 ( 1.2k + 7 ) = 53
k = 3
300
Factor:
10x + 25
5 ( 2x + 5 )
300
The difference between triple a number and 4 is 11
3x − 4 = 11
300
Solve:
4 (x − 2 ) = 12
x = 5
400
Simplify: -4.7m - 6.4m + 2.3
-11.1m + 2.3
400
⅕ ( 25w + 20 ) = 15
w = 2.2
400
Factor:
15xy+10x
5x ( 3y + 2 )
400
Half of a number plus 5 equals 13
1/2 x + 5 = 13
400
Write and Solve:
Four times a number minus 7 is 25
4x − 7 = 25
x=8
500
17g - 14h + 6g + 5h
23g - 9h
500
3.2v + 33 = 57
v = 7.5
500
Factor:
24x+36y+12
12 ( 2x + 3y +1 )
500
Five friends each bought a movie ticket and 2 candy bars. The movie tickets were priced at $6.00 each. If the total cost for all 5 friends was $57.00, what was the price for one candy bar?
$2.70
500
Solve: (Distribute First, Then Combine Like Terms and Solve)
3 ( x + 4 ) −2x = 10
x = 2