Download Advanced Math - Unit 1 * *Stuff* I Need to Know

Math - Unit 2B – “Stuff” I Need to Know
Learning Target 1: Determine if a value is a solution to an equation.
Example 1: Determine whether the given value of the variable is a solution.
w + 19 = 49 for w = 30
30 + 19 = 49
49 = 49
yes
116 = 144 – q for q = 38
116 = 144 – 38
116 = 106
no
12y = 84 for y = 7
12  7 = 84
84 = 84 yes
91 ÷ x = 7 for x = 12
91  12 = 7
7.583 = 7 no
Learning Target 2: Solve one-step addition equations.
Example 2A: Solve each equation. SHOW ALL WORK.
x + 62 = 93
x = 31
27 = y + 15
y = 12
Example 2B: Write and solve an equation. SHOW ALL WORK.
Emma paid $26 in all for a hammer and a screwdriver. The hammer cost $10. How much was the
screwdriver?
s + 10 = 26
s = 16
The screwdriver cost $16.
Learning Target 3: Solve one-step subtraction equations.
Example 3A: Solve each equation. SHOW ALL WORK.
15 = y – 7
y = 22
s – 19 = 12
s = 31
Example 3B: Write and solve an equation. SHOW ALL WORK.
Ted bought a dolphin poster for $12. He now has $5. How much money did Ted take to the
aquarium?
m – 12 = 5
m = 17
He took $17 to the aquarium.
Learning Target 4: Solve one-step multiplication problems.
Example 4A: Solve each equation. SHOW ALL WORK.
27 = 9x
x=3
2x = 18
x=9
21 = 3x
x=7
6x = 24
x=4
Example 4B: Write and solve an equation. SHOW ALL WORK.
Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last
week. How many hours did she work last week?
8h = 96
h = 12
Cheryl worked 12 hours last week.
Learning Target 5: Solve one-step division equations.
Example 5A: Solve each equation. SHOW ALL WORK.
s/6 = 7
s = 42
12 = q/7
q = 84
15 = d/5
n/4 = 28
d = 75
n = 112
Example 5B: Write and solve an equation. SHOW ALL WORK.
There are 16 ounces in one pound. A box of nails weighs 4 pounds. How many ounces does the
box weight?
b/16 = 4
b = 64
The box weighs 64 ounces.
Learning Target 6: Graph simple inequalities on a number line.
Example 6: Graph each inequality on a number line.
Learning Target 7: Solve & graph one-step inequalities.
Example 7: Solve each inequality. Graph the solution on a number line.
Learning Target 8: Write inequalities to solve real-world & mathematical problems.
Example 8: Write an inequality to represent each situation.
At the beginning of the school year, my children may spend no more than $50 on school
supplies. s < 50
In order to earn a passing grade, you must earn at least a 70%.
Students under age 16 may NOT drive a car.
p > 70
a < 16
More than 200 people attended the basketball game.
p > 200