One-Step Equations
12x=132
answer: 11
2x + 3 = 6
1.5
The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
21 cm
a + 3k + 6a - k
7a + 2k
Distribute: -3(2x + 8)
-6x - 24
-2b= 58
-29
-2(x + 4) = 12
-10
A submarine is 105 feet below the surface of the water, and it begins to ascend at a rate of 3 feet per minute. After how many minutes will the submarine be 81 feet below the surface?
8 minutes
2x + 4 + 4x - 10
6x - 6
Factor: 4x + 44
4(x + 11)
5 - g = 7
-2
1/2x - 8 = -19
-22
Kiana bought seven pencils and seven pens. Each pencil cost $1.20. She spent $24.15 in total. Write and solve an equation to find the cost of each pen.
7(x + 1.20) = 24.15
$2.25 per pen
3x - (2x + 1) - 5x + 8
-4x + 7
Simplify, then factor:
6x - 2(x + 5)
2(2x - 5)
x/-0.7 = -15
10.5
-3(x - 8) + 2x = 25
-1
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip. Write and solve an equation to show the number of miles Matthew drove.
2x + 4 = 34
15 miles
5x + 3y - 10 - 3x + 2y -5
2x + 5y - 15
Simplify, then factor:
11x - (5x + 1) - 20
3(2x - 7)
5/8x = 9
14.4
-2x + 3 - 4 +7x = 105
21.2
Sarah is two years younger than Matt. Matt is two years younger than Chelsea. The sum of their ages is 36. How old is Matt?
12 years old
-4(2x + 3) - (3x - 2y) + 7y - 21
-11x + 9y - 33
Simplify, then factor:
-(3x - 5) - 2(-2x + 4) + 8x
3(3x - 1)