One Step Equation with Rational Numbers
Solve for m: 0.5m=2
m=2
Solve x − 9 = 12
x = 21
Write an inequality using <, >,≥ ,≤ : A number n is greater than 7.
n > 7
n is greater than 7
Graph: x < 5 — what circle and direction?
Open circle at 5, shade left
Write the equation and solve the equation: Mia biked 2.5 miles before lunch. After lunch, she biked x more miles for a total of 6.8 miles. Write and solve an equation to find how many miles she biked after lunch.
2.5 + x = 6.8 → x = 4.3 miles
Solve for x: x + 0.4 = 1.2
x = 0.8
Solve 5x = 45
x = 9
Write an inequality using <, >,≥ ,≤:
“At least 15 points”
p ≥ 15
p is greater than or equal to 15
Graph: x ≥ −3 — what circle and direction?
Closed circle at −3, shade right
write the equation and solve: A scuba diver is 18.5 meters below sea level. He rises 7.3 meters. Write and solve an equation to find his new depth (d).
d + 7.3 = −18.5 → d = −25.8 meters
Solve for x: x − 2 ⅓ = 4 ⅔
x = 7
Solve x ÷ 6 = −2
x = −12
Write an inequality using <, >,≥ ,≤:
“Up to 8 hours”
h ≤ 8
h is less than or equal to 8
Graph: a ≤ 7 — what circle and direction?
Closed circle at 7, shade left
write the equation and solve: A baker uses ¾ cup of sugar for cookies. She wants to use the same amount of sugar in 5 batches. Write and solve an equation to find the total sugar (s) used.
s = ¾ × 5 → s = 3¾ cups
Solve for m: ⅔ x m = 10
m=15
Solve −8x = 72
x = −9
Write an inequality using <, >,≥ ,≤:
"x is no more than −2”
x ≤ −2
x is less than or equal to -2
Graph: b > −1
what circle and direction?
Open circle at −1, shade right
write the equation and solve: A temperature dropped evenly over 4 hours for a total change of −12°F. Write and solve an equation to find how many degrees (t) the temperature changed each hour.
4t = −12 → t = −3°F per hour
Solve for g: −5 x g = 17.5
g = −3.5
If x − 250 = −300, what is x?
x = −50
Mr. Daniels is organizing a class trip. He wants to spend less than $300. Which inequality represents the cost, c, that Mr. Daniels can spend on the class trip?
a) c< 300
b) c>300
c) c≥ 300
d) c≤300
a) c< 300
c is less than 300
When you graph an inequality, You used a closed dot...
What are those inequalities called?
<,>, ≥ ,≤
Greater than or equal to and Less than or equal to
≥ ,≤
write the equation and solve:
A tank holds 9 gallons of water. After using 2.4 gallons, x gallons remain. Write and solve an equation to find how much water is left.
9 − 2.4 = x → x = 6.6 gallons