One and Two-Step Equations
2x=32
x=16
2x+5-4x-1=8
x=-2
“Five less than a number squared is 76.”
n2-5=76
“A number decreased by 24 is -1.”
n-24 = -1
How old am I if 500 reduced by 3 times my age is 206?
I am 98
3/4*x=-9
x=-12
5(x-3)=15
x=6
“The difference between four-ninths of a number and 7 is 5.”
4/9n-7 =5
“The sum of half a number and 13 is 9.”
1/2n + 13 = 9
Ming won 121 lollipops playing basketball at her school's game night. Later, she gave four to each of her friends. She only has 9 remaining. How many friends does she have?
She has 28 friends
-x/4-2=3
x=-20
3(2x+8)=2x+6
x=9/2 or x=4.5
“Twice a number, increased by 13, is -21.”
2n+13=-21
“15 subtracted from the product of a number and 4 is -59.”
4n -15 = -59
Emma got a new job and will have to move. Her monthly income will be $5,265. To qualify to rent an apartment, Emma’s monthly income must be at least three times as much as the rent. What is the highest rent Emma will qualify for?
$1,755
x/2+8=-2
x=-20
9-2(x-3)=6(x+5)
x=-15/8
“The sum of 9 and the product of a number and -7 is -19.”
-7n+9=-19
“The difference between a number squared and 10 is 71.”
n2 - 10 = 71
Pete works at a computer store. His weekly pay will be either a fixed amount, $925, or $500 plus 12% of his total sales. How much should his total sales be for his variable pay option to exceed the fixed amount of $925?
He must sell at least $3,541.67
7/8*x-5/4=-2
x=-6/7
3-7(x+2)+x=-4(2x-1)+2(x-3)
No solution
“The quotient of a number and 0.8, decreased by 11, is 31.”
n/0.8 -11 = 31
“One more than three-eighths of a number is eleven.”
3/8n + 1 = 11
The sum of three consecutive numbers is 72. What are the smallest of these numbers?
23 is the smallest number