One-Step Equations
x + 3 = 8
x = 5
Solve the equations.
14-3g=32
g=-6
Solve the equation.
6(x-1)=12
x= 3
−3 + 5a = 4a − 10
a = -7
Solve the inequalities. 2y+7>11
y>2
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. Write and solve an equation to determine how many students are on each bus.
6x + 7 =331
x= 54
Unknown value represented by a letter (typically x)
Variable
x - 10 = -15
x = -5
Solve the equations.
(w/4) -21=-3
w=72
Solve the equations.
5+2(x-2)=19
x=9
−16 + 3n = −8 − 5n
n = 1
Solve the inequalities. 11-4z<-1
z>3
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
5 + 4e = 25
e = 5
It's the number that multiplies a variable
Coefficient
x/10 =7
x = 7
Expand
-4(6x -14)
-24x + 56
Solve the equations. 5(3n-6)=-30
n= 0
−2k = k − 7 − 8
k = 5
Solve the inequality: -5+3b<7
b<4
Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?
14c + 30 ≥ 240
c ≥ 15
When dividing or multiplying an inequality by a negative number you must...
Flip (reverse) the inequality
4x = -36
x = -8
(x - 10)/3 = 27
x = 91
Solve the equations. 42=18x+4(x+5)
x=1
3v + 2 = 4v + 4
v = -2
Solve the inequality
x/-3 -8≥-3
x≤-15
Sylvia set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?
5w + 60 ≥ 200
w ≥ 28
A number by itself (with no variable)
Constant
Determine if x = 9 is a solution to the equation:
5x = 50
No, because 50/5 is not 9, it's 10.
DAILY DOUBLE!!!! Write the verbal sentence as an equation and solve. Five minus the product of 2 and a number is 7.
5-2x=7
x=-1
What is the solution of the equation:
-3(2x-1)=-21
x=4
4 + 6x = −3 + 7x
x = 7
What is the solution of the inequality
z/-4+3<15?
z>-48
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write and solve an inequality that represents Triniti's situation.
500 - 25x ≥ 200
x ≤ 12
Symbol used to change an expression into an equation.
Equal sign