Vocab
A number, variable, or numbers and variables multiplied together is called a _______ .
term
Make an equation in the form px+q=r: Alicia has $50 in her bank account. She earns twice the amount as Lilly does selling boxes of cookies. Alicia ends up with $110 in her bank account after she sells the cookies. Let x be the amount Lilly earns selling cookies.
2x + 50 = 110
Solve for x: 3x + 12 = 18
x = 2
Solve for x: 2(x-9)=10
x = 14
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?
18 pieces
A number that is multiplied by the variable in an expression or equation is called a ______ .
coefficient
Write an equation in the form px+q=r: A baby giraffe weighed 132 pounds at birth. He gained weight at a steady rate for the first 7 months until his weight reached 538 pounds. Let x be how many pounds the giraffe gained each month.
132 + 7x = 538
Solve for x: -7x + 14 = 28
x = -2
Solve for x: 1/5(x+10)=3
x = 5
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
$5
A fixed value in an expression or an equation is called a _____ .
constant
Write an equation in the form px+q=r: An online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. Let x be how many pounds a DVD player is that costs $11.94 to ship.
6.99 + 0.55x = 11.94
Solve for x: 9x - 7 = -7
x = 0
y = 9
Sumalee won 40 super bouncy balls playing 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?
16 friends
A letter that represents an unknown value is called a ______ .
variable
Write an equation in the form px+q=r: Paulo has $145 in his savings account. He earns $36 each week mowing lawns. Let x be how many weeks until Paulo has $433 saved.
145 + 36x = 433
Solve for x: 8x - 24 = -64
x = -5
Solve for x: 3(x-4) = 9
x = 7
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
40 comic books
Which property implies that regardless of how numbers are grouped, the final sum of the numbers will remain the same.
associative property
Write an equation in the form px-q=r: Madison and her sister received the same amount of money to go out to eat. Each girl spent $13. After lunch, the girls had a total of $4. Let x be how much money each girl received.
2x - 26 = 4
Solve for a: -9a + 11 = -43
a = 6
Solve for b: -4(6b--3) = -36
b = 1
The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale. Each pie was then cut into five pieces and sold. There were a total of 60 pieces to sell. How many pies did the club make?
8 pies