Vocabulary
What is a variable
The unknown number
What equation is true when c = 3?
a. 2c + 8 = 31
b. 9 - 6c = 0
c. 6 + 4c + 2 = 20
c. 6 + 4c + 2 = 20
Solve the equation
-12x - 7 = 53
x = -5
Jimmy rode a bicycle for 20 miles over 5 days. The first day Jimmy rode 4 miles. The next 4 days, Jimmy rode a bicycle the same amount each day. How many miles did Jimmy ride on each of the following 4 days?
x = 4
-7+3x-4+-5=
-24
What is a coeffiecient
the number attached to the variable
Which equation is true when k = -15?
a. 3k - 11 = - 34
b. k/3 + 17 = 12
c. -53 + 4k = 7
b. k/3 + 17 = 12
Solve the equation
2x+3=11
x= 4
The perimeter of a rectangle is 32 inches. The width is 4 inches and the length is 2.5x inches. Write the equation to represent the problem
4+2.5x=32
12-8+(-3)x2
2
What is a constant
the number that does not change, is not attached to the variable
If x = -6, which equation is true
a. x+2=4
b.3x-5=-10
c.2x+4=-8
c.2x+4=-8
5x-7=18
x=5
Maggie has a $50 gift card that she will use to purchase some music. Each song is 1.99. She has a coupon for $5 off. Write an equation for the maximum number of games Maggie can purchase
50=1.99x-5
A laptop is priced at $800. The tax is 7%. How much is the total cost including tax?
$856
What is the difference between between expressions and equations
Equations have equal signs, expressions do not have equal signs
If x=5, which equation is not true:
a. 3x-4=11
b.2x+6=20
c.x-2=3
b.2x+6=20
0.5x+1.2=3.2
x=4.0
Raymond buys bottles of water at $2 each and a large pizza for $13. The total cost was $21. How many bottles of water did Raymond buy. Write the equation and solve for w, the bottles of water that Raymond purchased
2w+13=21
w=4
A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If one marble is drawn from the bag, without replacement, what is the chance that it will be either red or blue
4/5
What is the goal of solving equations
To isolate the variable using inverse operations
The solution to 3x+2x+20=50
is 14
a.true
b.false
b.false
0.2x+0.5+0.3x=1.5
x=2.0
Blake's bowling alley offers a special. Each game costs 2.50 and the shoe retal is 2.00. Luke spent 14.50 in total. How many games did he bowl?
Write the equation and solve for G= the number of games that Luke bowled
2.50G+2.00=14.50
G=5
A car travels 180 miles on 6 gallons of gas. What is the miles per gallon
30 miles a gallon