Vocabulary
How to
Solve
100
What is an equation?
An equation is a number sentence with an equal sign.
100
What is the first step of the the following problem?
2(3x + 4) = 9x + 4 -3x
Distribute the 2 into 3x + 4
100
Solve for
2/3x - 1 = 9 -1/6x
x = 12
200
What is a coefficient
The number multiplying a variable.
200
What is the second step for the following equation?
-10x - 15 - x = 4x +45
Combine like terms (-10x and -x)
200
Annie is comparing the cost to ship a package. One shipping company charges $7 for the first pound and $0.20 for each additional pound. Another shipping company charges $5 for the first pound and $0.30 for each additional pound. For how many pounds is the cost of the two shipping companies the same?
20 pounds
300
What is a variable?
A Variable is an unknown value, shown with a letter.
300
What step does the student need to correct?
The student distributed the 3 to the - 5x and did not need to. So step 1
300
Evaluate for x, 15 - (7x + 20) = 0.5(6x -14)
x = 0.2
400
What does distribute mean?
To multiply a value into an expression within parentheses.
400
A group of 6 friends went to a basketball tournament game. They each bought a ticket for x dollars and spenk $8.50 each on snacks. Another group of 4 friends went to the championship game and paid twice as much for each of their tickets as the first group and spent $6.50 each on snacks. Which equation can be used to find the cost of each ticket for the group of 6 friends?
a. 8.50(x + 6) = 4(2x + 6.50)
b. 6(x + 8.50) = 2(4x + 6.50)
c. 8.50(x + 6) = 6.50(2x + 4)
d. 6(x + 8.50) = 4(2x + 6.50)
D. 6(x + 8.50) = 4(2x + 6.50)
400
A group of 6 friends went to a basketball tournament game. They each bought a ticket for x dollars and spent $8.50 each on snacks. Another group of 4 friends went to the championship game and paid twice as much for each of their tickets as the first group and spent $6.50 each on snacks. What is the cost of each ticket?
Use the Equation 6(x + 8.50) = 4(2x + 6.50)
$12.50
500
What are like terms.
A number written in the same form as another number.
500
How can we tell if an equations has no solution?
When we solve for the variable, they cancel out and the numbers do not equal each other.
500
Which expression has no solutions?
a. 5(c + 3) - 2b = 2b + 3
b. 4(d - 3) + 5 = 3(d + 2) - 7
c. 3(x + 5) = 5(x + 3) -2x
d. -10y + 18 = -3(5y - 7) +5y
d. -10y + 18 = -3(5y - 7) +5y