Multi-Step
Solve for x: 3(2x−4)+5=4x+7
x=4
Determine the number of solutions for:
2(x−3)=2x−6
Infinite solutions
Solve for x:
A=3x+7
x=(A−7)/3
Sarah has 3 times as many apples as Tom. Together, they have 24 apples. How many apples does Sarah have?
18 Apples
How many basic operations do we use when solving multi-step equations?
4: addition, subtraction, multiplication, division
Solve for y:
2(3y+1)−4(y−2)=5y+3
y=2
Determine the number of solutions for:
4(y+1)−3=4y+2
No Solution
Solve for y:
P=2y−5
y=(P+5)/2
A rectangle’s length is 4 meters more than twice its width. If the perimeter is 40 meters, what is the width?
≈5.33 meters
What is the goal when solving an equation?
Getting the variable by itself.
Solve for m:
5(m−2)+3m=2(4m+1)−7
m=3
Determine the number of solutions for:
5m+2=5m+7
No Solution
Solve for t:
d=rt
t=d/r
John bought 5 notebooks and some pens. Each notebook costs 2 dollars, and each pen costs 1 dollar. If he spent 13 dollars in total, how many pens did he buy?
3 pens
What is the acronym for solving a multi-step equation?
SADMEG
Solve for a:
4(2a+3)−3(5−a)=7a+2
a=2
Determine the number of solutions for:
3(2a−4)=6a−12
Infinite Solutions
Solve for m:
F=ma
m=F/a
A car rental company charges a base fee of 30 dollars plus 0.50 per mile driven. If a customer paid 55 dollars, how many miles did they drive?
50 miles
What is unique about literal equations?
They have multiple variables.
Solve for t:
6(2t−1)−2(3t+4)=3t+5
t=7/9
Determine the number of solutions for:
7t+3=7t+3
Infinite Solutions
Solve for b:
A=1/2bh
b=2a/h
Emma has 12 candies. She gives 3 candies to each of her friends. After giving away candies, she has 6 candies left. How many friends did she give candies to?
2 friends
A _______ represents an unknown value.
Variable