Writing Expressions
3 times the sum of x and 7
3(x+7)
2x-4+5x+10(3+x)
17x+26
Factor out the GCF to create an equivalent expression: 4x+8y-10
2(2x+4y-5)
a=4, b=5, c=7, d=8, e=12
Evaluate: a2bc
560
You detail cars and charge a $50 flat fee plus $20 per hour of work and there is an extra cleaning fee of $15 per stain. Write an expression to represent your pricing.
50+20h+15s
The difference of twice a number c and 4
2c-4
1.2(3.4x+7.8)-2.3
4.08x+7.06
Distribute to create an equivalent expression: 2x(3x+8)
6x2+16x
a=4, b=5, c=7, d=8, e=12
Evaluate: ad/be
8/15
A square has a side length of x. Write two expressions: 1 to find the area and 1 to find the perimeter. Expressions should be in simplest form.
Area: x2
Perimeter: 4x
the product of a number f and itself
f2
1/2x+3/4(x+3/8)-1/16
5/4x+7/32
Factor out the GCF to create an equivalent expression: 7x2+14x
7x(x+2)
a=4, b=5, c=7, d=8, e=12
Evaluate: 2cd2-a(b+e)
828
You are a babysitter and charge $12 to show up and $11 an hour. This month you are offering new clients a discount of half your normal price. Write and simplify an expression for new customers.
(12+11h)/2
1/2(12+11h)
half of the product of 5 and a number y
1/2(5y) or 0.5*5*y or 5y/2
6.5+0.5(3.2x+4.6-1.4x)-3.1
2.3x+5.7
Distribute to create an equivalent expression: x2(2x+5y-10)
2x3+5x2y-10x2
A slice of pizza costs $1.75, a soda costs $0.65, and a cookies costs $1.15. If you buy 4 slices of pizza, 2 sodas, and 5 cookies, how much did you spend. Be sure to write out an expression first, then evaluate.
1.75p+0.65s+1.15c
1.75(4)+0.65(2)+1.15(5)
$14.05
A rectangle has sides of 2x and x-6. Write two expressions: 1 to find the area and 1 to find the perimeter. Expressions should be in simplest form.
Area: 2x(x-6)=2x2-12x
Perimeter: 2(2x+x-6)=2(3x-6)=6x-12
a number w squared plus twice the same number minus 72
w2+2w-72
Factor out the GCF to create an equivalent expression: 6x2+9x3+15x
3x(2x+3x2+5)
One rectangle has an area of (4x-8) square feet. The other rectangle has an area of (8x-12) square feet. If x=8, what is the difference in the areas? Be sure to show all steps
28 square feet