Vocabulary
2x + 1 = 5
A regular hexagon has sides of length x + 5 and a perimeter of 72 inches. Write and solve an equation to find x.
DAILY DOUBLE
6(x + 5) ; x = 7
DAILY DOUBLE
Simplify:
3(x+2)
3x + 6
Solve the following equation: -4/3(r + 3) = -2
r = -1 1/2
(x/3) - 4 = 11
x = 45
Kendra is 3 times her daughters's age plus 7 years. Kendra is 49 years old. Write an equation to find her daughter's age.
3x + 7 = 49
Simplify
-4 (m + 9)
DAILY DOUBLE
-4m - 36
DAILY DOUBLE
Factor the following expression: -24x + 72
-24(x - 3)
Angles whose measures have a sum of 90 degrees.
Complementary Angles
-2x-5=-11
x=3
Angles A and B are adjacent angles and are supplementary. The measure of angle A is (3x + 10) degrees, and the measure of angle B is (12x + 35) degrees. Write and solve an equations that can be used to determine the value of x.
3x + 10 + 12x + 35 = 180 or 15x + 45 = 180 ; x = 9
Simplify:
3x - 9x
-6x
Mr. Tanski spent $89.85 on sewing kits that cost $5 each plus $4.85 tax on the total bill. How many kits did he buy?
DAILY DOUBLE
17
DAILY DOUBLE
Another word for the letters used for unknown numbers in expressions and equations.
Variable
5(3-x) = 30
DAILY DOUBLE
x=-3
DAILY DOUBLE
Mitchell orders a plain turkey sandwich and a drink for lunch. The drink is $2.95. Instead he is served the super sandwich with lettuce, tomato, and mayonnaise. The restaurant manager takes 15% off the price of the sandwich. Write an equation to determine the original price of Mitchell's sandwich if his new bill is $8.05.
0.85x + 2.95 = $8.05
Simplify:
10x + 7 - 4x - (-15)
6x + 22
Elana drove a total of 203 miles last week. She drove 28 miles to run errands and 35 miles round trip each day to go to work. What equation can be used to find the number of days, d, that Elena drove to work last week.
35d + 28 = 203
Opposite angles formed by intersecting lines. These angles are congruent.
Vertical Angles
14x + 2(x - 5) - 10=-4
x=1
Jeff works at a warehouse, earning $17.50 per hour plus a $200 one-time hiring bonus. In Jeff's first week, his pay including the bonus was $637.50. Write and solve an equation to find how many hours Jeff worked his first week.
17.50x + 200 = 637.50 ; x = 25 hours
Simplify:
9 + 7x - 11 - 12x
-5x - 2