How many solutions are possible when given an inequality?
What is infinite number of solutions?
100
Nancy has $10. She buys socks for $5 a piece. Write an equation to show how many socks she could buy if she wants to spend exactly $10 and state how much each pair of socks cost.
What is 5s = 10, therefore, s = 2
100
Explain how to solve: 2x = 4. Then solve the equation.
What is isolate the variable by dividing by 2 on each side?
2x/2 = 4/2 and x = 2
100
Solve for A.
A + B = C - D
What is A = C - D - B ?
200
What happens when you are solving an inequality and you have to multiply or divide by a negative number?
What is flip the inequality sign?
200
Frodo has a gift certificate for $10. He wants to purchase songs for $2 each or movies for $3 each. He wants to spend exactly $10.
What is 2s + 3m = 10 ?
200
Solve and state the number of solutions.
13 + 4x - 9 = 7x + 7 - 3x
What is no solution ?
200
Solve for x.
2x + 2y = P
What is
x = (P - 2y)/2
or
x = -½P - y
200
An equation has ONE solution when ...
What is there a variable equivalent to a single real number?
300
Write an inequality that represents all possible solutions of -2n < 4n + 30
What is n < 5?
300
Hodor earns $7.50 an hour. He wants to earn at least $350 before winter comes. Write an inequality statement.
What is 7.50h ≥ 350 ?
300
Solve and state the number of solutions.
2(x + 9) = 4(x + 7) + 2
What is -6.
One solution.
300
Solve for a.
P = 2a + b.
What is a = (P - b)/2
or
a = ½P - ½b
300
An equation has INFINITE solutions when ...
What is when an equation is true for ALL real numbers?
(When you solve the equation and find an identity.)
400
Solve for x and write as a compound inequality:
-3 < x + 4 < 7
What is -7 < x < 3 ?
400
Legolas shoots 5 bows per minute. How many minutes will it take him to show 225 bows? Write equation, then solve.
What is 5s = 225 ? Therefore, 45 minutes to shoot 225 bows.
400
Solve and state the number of solutions.
-4(6 - y) + 4 = -4
What is y = 4 ?
One solution.
400
Solve for r.
I= Prt
What is r = I/Pt
400
An equation has NO solution when ...
What is when an equation is NOT true for any real number?
(When you solve the equation and find a contradiction.)
500
Solve the inequality to find all values of w that satisfy the inequality statement:
| w - 5 | < 0.01