Writing Two-Step Equations
Annie needs $300 for a concert ticket. She already has $160, and she can earn the rest by working 14 hours at her job. If x represents her hourly earnings, write an equation that can be solved to find Annie's hourly earnings.
160 + 14x=300 OR
14x + 160=300
Solve the equation for x: 14x + 160=300
X=10
x - 2.5 gt 7.9
x gt 10.4
x/3gt7
xgt21
What is the inverse (opposite) operation of Addition?
Subtraction
Moesha needs $79.50 for a class trip. She already has $22.35 and she can earn the rest by babysitting for 8 hours. If h represents her hourly earnings, write an equation to find Moesha’s hourly earnings.
8h + 22.35=79.50 OR
22.35 + 8h=79.50
Solve the equation for h: 8h + 22.35=79.50
h=7.14
8.3 gt x + 4.1
x lt 4.2
-2xlt8
xgt-4
What is the inverse (opposite) operation of division?
Multiplication
Neil rents a canopy for $21.75 per hour with a $25 delivery and set-up fee. The rental costs a total of $155.50. For how many hours does Neil rent the canopy?
21.75 h + 25=155.50 OR
25 + 21.75h=155.50
Solve the equation for h: 21.75h + 25=155.50
h=6
Write and solve an inequality for the statement: 27 less than a number, x, is greater than 156.
x-27gt156
xgt183
3/5xlt-9
xlt-15
What happens to the inequality sign when you MULTIPLY or DIVIDE by a negative number?
The inequality sign flips.
To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of $72.95 on the balloons and a gift bag for each person invited to the party. Write an equation to help you find x, the number of people Mark invited to the party.
5.15x + 6 = 72.95 OR
6 + 5.15x=72.95
Solve the equation for x: 5.15x + 6 = 72.95
x=13
Write and solve an inequality for the statement: 34 more than a number, x, is less than 240.
x+34lt240
xlt206
x/2.4gt-3
xgt-7.2
12(5x - 4.5) = 36
x=1.5
In a week, Aaron earns $16 less than four times the amount Cali earns. Aaron earns $200. How much money does Cali earn?
Cali earns $54.