One Step Equations
solve 12x=132
answer: 11
2x + 3 = 6
answer: 1.5
The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
21
simplify a + 3k + 6a - k
7a + 2k
What is a variable?
A letter or symbol that represents an unknown value.
solve 2b= 58
29
solve -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
2x + 3y + 4 + 4x + 10
6x + 3y + 14
How do you define a coefficient?
A number that multiplies or divides a variable; a coefficient always has a variable.
5g = 70
14
solve 2x -3 = 9
6
Kiana had $24 to spend on seven pencils. After buying them she had $9.65. How much did each pencil cost?
$2.05
simplify
7r + 2K - 1 + 3r -k
10r + k -1
What is a constant?
A fixes value; a number that stands on its own.
solve x/5 = 30
150
when will you use equations in real life? (give two examples)
bills, jobs, paychecks, math
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.
15 miles
Simplify
5x + 3y - 10 - 3x + 2y -5
2x + 5y - 15
What are Like Terms?
Two or more terms in a variable expression that have the same variable factors.
solve: 55x = 3300
x = 60
5x + 3 -4 = 105
x = 21.2
A school is ordering supplies for two different classrooms. Classroom A needs 12 boxes of markers. Each box costs $4.50, and there is a 10% discount on the total if more than 10 boxes are purchased. Classroom B needs 8 boxes of markers, but they come with no discount. What is the total cost for Classroom A after the discount?
$46.80
simplify
2 x 2+ 6 + 3 x 2 - 5
5 x 2 + 1
What are equivalent expressions?
Expressions that have the same value for every possible value of the variable.