Writing Equations
Solving Equations
Two Variable
Solving Inequalities
Hodgepodge
100
Write the word sentence as an equation: The sum of a number x and 4 equals 12.
What is x + 4 = 12
100
Solve 2/7x = 6
What is x = 21
100
Tell whether the ordered pair is a solution of the equation. y = 4x (0 , 4)
What is No (0, 4 ) is not a solution to the equation.
100
Tell whether the given value is a solution of the inequality. x - 1 < 7; x = 6
What is yes, 6 is a solution.
100
What property of inequality would you use to solve the following: 3x > 15
What is Division Property of Inequality
200
Write the word sentence as an equation: 11 is the quotient of a number y and 6.
What is 11 = y divided by 6.
200
Solve 12.5n = 32
What is n = 2.56
200
Tell whether the ordered pair is a solution to the equation. y = 2x - 3 (4, 5)
What is Yes, (4, 5) is a solution.
200
Graph the inequality: 5 < a
What is ______________________________________
200
Solve the following inequality and graph your solutions. x + 9 - 3 < 14
What is x < 8
300
Students and faculty raised $6042 for band uniforms. The faulty raised $1780. Write an equation you can use to find the amount "a" raised by the students.
What is 6042 = 1780 + a
300
Solve 3.4m = 20.4
What is m = 6
300
Identify the independent and dependent variables. The equation t = 12p + 12 gives the total cost t (in dollars) of a meal with a tip of p percent.
What is p in independent and t is dependent.
300
Is the following statement sometimes, always or never true? Explain. A number that is a solution of the inequality 5 is less than or equal to x is also a solution of the inequality x > 5.
What is Sometimes.
300
You want to use a square section of your yard for a garden. You have at most 52 feet of fencing to surround your garden. Write and solve and inequality to represent the possible lengths of each side of the garden.
What is 4s less than or equal to 53 s is less than or equal to 13 feet.
400
Error Analysis: Describe the error in writing the sentence as an equation. A number n is 5 more than 12. N + 5 = 12
What is n = 12 + 5
400
Solve 22 + 15 = d - 17
What is d = 54
400
Write an equation with two variables for the following: It costs $35 to join the gym. The monthly fee is $25.
What is c = 25m + 35
400
Solve and graph the following inequality: x - 3 > 1
What is x > 4
400
A soccer team will sell t-shirts for a fundraiser. The company that makes the t-shirts charges $10 per shirt plus a $20 shipping fee per order. Write an equation with two variables that represents the total cost of ordering the shirts.
What is c = 10t + 20.
500
You eat 8 blueberries and your friend eats 11 blueberries from a package. There are 23 blueberries left. Write and solve an equation to find the number of blueberries in a full package.
What is x - 8 - 11 = 23; 42 blueberries.
500
Solve v - 7 = 9 + 12
What is v = 28
500
Write an equation with two variables for the following: A cheese pizza costs $5. Additional toppings cost $1.50 each.
What is c = 1.5t + 5
500
Solve and graph the following inequality: 15 > 6 + x
What is x < 9
500
Solve and graph the solutions for the following: 3x + 2 > -10
What is x > -4
M
e
n
u