Combining Like Terms
Simplifying Expressions
Solving Equations
Solving Inequalities
Equation and Inequality Word Problems
100
Combine all like terms: 6x - 2x
4x
100
Add the expressions: (2x - 3) + (4x + 1)
6x - 2
100
9x - 13 = 23
x = 4
100
x + 8 ≤ −1
x ≤ −9
100
Fred is buying notebooks. Each notebook is $2 off the original price. He buys 8 notebooks for $28. What is the original price of a notebook?
Each notebook is $5.50
200
Combine all like terms: 7 + x + 3x + 2
4x + 9
200
Simplify this expression: −0.5(16h − 7)
-8h + 3.5
200
18x + 10 = 100
x = 5
200
What symbols would cause you to graph an open circle?
< or >
200
The sum of twice a number, n, and 13 is 55.Write an equation to represent this situation.
2n + 13 = 55
300
Combine all like terms: 2x +17 - 5x - 10
-3x + 7
300
Simplify this expression: 5(2y - 1)
10y - 5
300
6x + 4.59 = 11.19
x = 1.1
300
-5x + 11 > 36
x < -5
300
The length of a rectangle is represented by 6x+5. The width of the rectangle is represented by 3x. The perimeter is 100 centimeters. Write an equation to represent this situation.
Possible Answers:
18x + 10 = 100
3x + 6x + 5 + 3x + 6x + 5 = 100
2(3x) + 2(6x + 5) = 100
400
Combine all like terms: 9 + 6y + 7x - 2x + 3y
5x + 9y + 9
400
Simplify this expression: −3(4k − 5) − 2k
−14k + 15
400
x = -16
400
What is the inequality for the graph?
x ≤ 2
400
Marcella's family pays $9 for an appetizer and orders 5 (s) sandwiches. They spend $44 in total. Write an equation that represents this situation.
5s + 9 = 44
500
Combine all like terms:
9 + 6y + 7x - 2x + 3y + 4x - 3
9y + 6 + 9x (Any order is fine)
500
Simplify this expression: −9(k − 5 + 2k − 8)
-27k + 117
500
x = -71
500
−8(x + 9) < 24
x > -12
500
A farmer pays $50 to rent a booth at a farmers market. She is selling watermelons for $8 each. At the end of the day, she wants to have earned at least $200 after she pays to rent the booth. Let w represent the number of watermelons sold. Write an inequality for this situation.
8w + 50 ≥ 200