Download 2-Step Equations

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Name: _______________________________
Block: ___________ Date: ______________
2-Step Equations
What is the goal of solving an equation? _________________________________________________________
Golden Rule of Algebra:
When solving 2 – step equations:
+/- FIRST, move the _______________________
x/÷ SECOND, move the _____________________
What is the constant that I need to move first?
1) 4x – 9 = 21
2) 4 – 5r = 36
3) 15 = 2w + 17
1) 5 − 2𝑛𝑛 = −1
Check
2) 3𝑥𝑥 + 1 = 7
3) 6 − 3𝑥𝑥 = 21
Check
4)
5) 4𝑥𝑥 − 3 = 25
Check
6)
𝑥𝑥+5
= 15
Check
𝑦𝑦 + 5 = 6
Check
2
1
3
Check
2-step Translations & Solving
1) Eleven more than three
times a number is
seventeen.
Check
2) 13 more than the
product of 4 and a
number n will be 72.
Check
3) Three more than 8
times as many trees is
75 trees.
Check
4) The quotient of a
number and 3
decreased by 5 is 6.
Check
5) Eleven times the sum of
a number and five is 66.
Check
6) The sum of five and a
number divided by four
will be 2.
Check
Equations Word Problems Practice
1) 331 students went on a field trip. Six buses
2) Aliyah had $24 to spend on seven pencils.
3) You bought a magazine for $5 and four
4) Maria bought seven boxes. A week later half
5) Sumalee won 40 super bouncy balls playing
6) Imani spent half of her weekly allowance
7) Charlie had some candy to give his four
8) For a field trip 4 students rode in cars the rest
were filled and 7 students traveled in cars.
How many students were in each bus?
erasers. You spend a total of $25. How much
did each eraser cost?
horseshoes at her school’s game night. Later,
she gave two to each of her friends. She only
has 8 remaining. How many friends does she
have?
children. He first took ten pieces for himself
and then evenly divided the rest among his
children. Each child received two pieces. With
how many pieces did he start?
After buying them she had $10. How much
did each pencil cost?
of all her boxes were destroyed in a fire.
There are now only 22 boxes left. With how
many did she start?
playing mini-golf. To earn more money her
parents let her wash the car for $4. What is
her weekly allowance if she ended with $12?
filled nine buses. How many students were in
each bus if 472 students were on the trip?
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Homework
Solve and check.
1) 12 =
3)
𝑥𝑥+5
6
𝑚𝑚
3
−6
=8
2) 3𝑥𝑥 + 5 = 17
4)
−𝑑𝑑
5
= −4
2
5) The difference of 10 and 3 times a
number is 4.
6) The product of and some number plus 8
5
is 12.
7) John sold half of her comic books and
then bought sixteen more. She now has
36. How many did she begin with?
8) How old am I if 400 reduced by 2 times
my age is 244?