What is it called to simplify an expression by grouping numbers and variables?
Combining Like Terms
4 = -8 + x
x= 12
6x – 13 = 11
x= 4
3x+4x-8-x
6x-8
During a film festival, the first film ticket is priced at $16, and each additional ticket is $11. If Alex spends $71, then how many film tickets did he purchase?
Write the equations and find the solution.
Equation: 16 + 11x = 71
Solution: 5 tickets
This type of math problem has an equal sign.
Equation
x + 12 = 0
x= -12
3x + 5 = 14
x= 3
4(3x+2)
12x+8
5 sisters each bought matching scarves and 2 pairs of socks. The scarves were $12.00. If the total bill was $125.00, what was the price of 1 pair of socks?
Write the equations and the solution.
Equation: 5(2x + 12) = 125
Solution: $6.50
Another word for the number in an expression or equation that DOES NOT CHANGE. It always stays the same and it is in the first step of a two step equation.
Constant
122 = -2x
x= -61
(x/2) +10=-8
x= -36
2(x+5)-3+9x
Isabella's sister is 8 years older than her. Their combined ages add up to 20. How old is Isabella?
Write the equation and solution.
Equation: (x + 8) + x = 20
Solution: Isabella is 6 years old.
Another word for the letters used in expressions and equations.
Variable
-5x = -80
x= 16
(x/2)-4=10
x= 28
3y+9-2y-4x+3y
4y-4x+9
A home imrovement company has 60 square feet of flooring for $287, including an $80 installation fee. Write an equation to represent the cost of one square foor of flooring.
80 + 60x = 287
Name of the type of math where numbers and symbols are used to formulate expressions and equations.
Algebra
-16 = x/2
x= -32
(x/3)+12=-3
x= -45
5(4-x)-8x
20-13x
Mr. Peters purchased shrubs and trees for his yard for $260. The shrubs cost $25 each and the trees cost $110 in total. Write an equation to find the number of shrubs purchased.
25x + 11 = 260