Equivalent Expressions
This expression is equivalent to 24x - 18
a. 12x - 9
b. 4(6x -4)
c. 6(4x - 3)
c. 6(4x - 3)
5x + 9x / x = 2
5(2) + 9(2)
10 + 18
28
A DVD that sells for $15.00 is marked 10% off. What is its DISCOUNT price?
15(.10)
$1.50
x + 4
20/3 written as a decimal
6.6666 *include bar
x + x + x + x can also be written as...
a. 4x
b. x + 4
c. 2x + 2x
d. 3x - x
a. 4x
AND
c. 2x + 2x
(x - y) -15 / x = 48, y = 12
(48 - 12) - 15
36 - 15
21
A $40 dress is marked down 20%. What is its discount price AND new price?
discount- 40(.2) = $8.00
new price- 40 - 8 =$32.00
10 less than a number
x - 10
One example of a repeating decimal
Possible answers include 2/9, 1/11, 4/11
Create ONE equivalent expression for 6x + 9y
possible answers include 3(2x + 3y), 3x + 3x + 9y, 6x + 8y + y
7(x + 7) - y / x = 5, y = 13
7(5 + 7) - 13
(35 + 49) - 13
84 - 13
71
You bought a new pair of shoes for $39.00, and the sales tax is 7%. How much is your total?
39(1.07)
$41.73
The product of a number times 5 added to 18
5x + 18
Two examples of a terminating decimal AND their fraction equivalent
Possible answers could include 1/5 & .2, 1/2 & .5, 4/5 & .8
Create TWO equivalent expressions for y + 3y + 2y
possible answers include 6y, 2y + 4y, 3y +3y
1/2(x - 20) - y / x = 100, y = 11
1/2(100 - 20) - 11
(50 - 10) - 11
29
The price of a new car is $29,990, and sales tax is 6.5%. What is the total cost, AND how much is sales tax alone?
total- 29,990(1.065) = $31,939.35
tax- 31,939.35 - 29,990 = $1,949.35
A calculator costs $c. A school buys 90 calculators and gets a $100 discount
90c - 100
Brooke has a balance of $80 in her checking account. She goes on vacation and spends $125 each day for three days before coming home and making a $240 deposit. How much does Brooke have in her checking account when she returns home?
80 - 125(3) + 240
80 - 375 + 240
-$55
Create THREE equivalent expressions for 2 + 5a + 2a + 8
possible answers include 10 + 7a, 5 + 5 + 7a, 10 + 4a + 3a
(2x + 8x + 10 ) + (9y + 3y + 22y) / x = 5, y = 2
(10x + 10) + (34y)
(10(5) + 10) + 34(2)
(50 + 10) + 68
60 + 68
128
At Best Buy a $588 TV is marked down 25% and has a sales tax of 7% added at check out. What is the final price?
588(.25)=$147 discount price
new price= 588 - 147 = $441
$441(1.07) = $471.87 final price
I need to buy p pencils. I buy 4 packs of 7 pencils, but I still need a few more. Create an expression, and solve.
7 x 4 =28
trick question!! doesn't matter what we "need"
Which expression results in a negative solution when simplified?
a. 6 - (-4)
b. 3 + 1
c. -9 + 5
d. -2 + (-7)
e. -3 + 6
c & d only
a. 6 - (-4) = 6 + 4 = 10
b. 3 + 1 = 4
c. -9 + 5 = -4
d. -2 + (-7) = -2 - 7 = -9
e. -3 + 6 = 3