True or False?
The terms 2x2,9x2, and 4x are like terms.
False
While they have the same variable, the exponents are not the same.
The New York Yankees sold 12(x + 18) tickets last night. The New York Mets (the better team) sold 38,400. Solve for x so that the Mets and Yankees sold the same amount of tickets.
x = 3,182
State the names of three solution cases and the variables that go with them.
a = a: infinite
x = a: one
a = b: no solution
What is the goal when solving a multi-step equation with variables on both sides?
To get the constant terms to one side and variable terms to the other side
There is more than one method to solve a multi-step equation.
True
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x. What is the number?
Hilda's number is -8.
How do you know when an equation has no solution?
If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.
2 + x = 1 + 6(7x + 7)
x = -1
The word "same" means the equation should have variables on both sides.
True
The sum of five consecutive integers sums to 185. Find the greatest of the five integers.
39
-(3 - 6b) = 6b + 5
No solution
5(7n + 8) + 5n = 4 + 4n
n = -1
In the following word problem, paper towels and napkins each receive their own variable.
Gianna has 36 yards of fabric to make sets of matching placemats and napkins. How many matching sets can she make?
False
Because they are part of the same "set", they are considered like terms and would have the same variable.
Joshua sold his bike for 20% less than he paid for it. If he sold the bike for $585, how much did he pay for it?
He paid $731.25 initially.
4(k - 8) = -32 + 4k
Infinite
4(x - 9) - 2x = -3x + 14
x = 10
Same constant and different coefficient = No Solution
False
Ms. Bal buys a ticket to go to the Jonas Brothers concert, plus $6 in tax. The total includes a charge of 10% of the original price, including tax, for extra fees. If Ms. Bal pays a total of $126.60, how much was the original price of the ticket before taxes and fees?
*Round your answer to the nearest hundreths place.
She paid about $109.09 before taxes and fees.
3x = 4x
1 solution
x = 0
-3x + 2c = -3
Solve for x
x = (3 + 2c)/3 OR (-3 - 2c)/-3