5/11 Structure in Expressions

Match each expression to the description shown.

 $2\left(x+1\right)$   

• The sum of a number and two increased by one

• The product of two and a number increased by one

• Two times the difference of a number and one

• Two times the sum of a number and one

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

A local amusement park charges $20 for an admission fee and $5 for each ride. Jonathon writes an expression to find the total amount he needs to pay for x number of rides.

What does the constant term in the expression represent?

• the number of rides

• the cost per ride

• the admission fee to the park

• the total amount for admission and rides

Tags

CCSS.HSA-SSE.A.1A

Shane is selling birdhouses that he makes. The equation for his profit (y) as it relates to the number of birdhouses sold (x) is  $y=15x−75.$  

What does the $15x$ represent in this equation?

• the price for which x birdhouses are sold

• the number of birdhouses Shane needs to sell to break even

• the money Shane spends on supplies for x birdhouses

• the cost of making x birdhouses

Tags

CCSS.HSF.LE.B.5

Keira is selling lemonade to raise money for a reading program at school. Her profits for selling x glasses of lemonade are represented by the equation $P=0.75x−12.$  

What does the 12 in the equation likely represent?

• the amount of money Keira earns in profit by selling 1 glass of lemonade

• the cost of the materials Keira spends to make the lemonade

• the price Keira charges a customer for each glass of lemonade

• the price Keira charges a customer for 12 glasses of lemonade

Tags

CCSS.HSF.LE.B.5

Which two expressions are equivalent to $4x^2+20x?$  

•  $4x(x)+4x(5)$  

•  $4x(x+5)$  

•  $4x(5x)$  

•  $5x(x)+5x(4)$  

•  $5x(x+4)$  

• $(2x-3)(2x-3)$

• $(2x-3)(2x+3)$

• $(4x-9)(x-1)$

• $(4x-9)(x+1)$

Tags

CCSS.HSA.APR.C.4

Which expression is equivalent to $5x^2-14x-24?$  

•  $4(2x+4)(x+5)$  

•  $(5x+6)(x-4)$  

•  $(2x-9)(x-4)$  

•  $(x-6)(5x-4)$  

• 
• 
• 
• 

Tags

CCSS.HSA.APR.C.4

Which equation can be used to find the vertex of the quadratic function

 $f(x)=x^2+4x+2?$  

•  $f(x)=(x-2)^2-2$  

•  $f(x)=(x-2)^2+2$  

•  $f(x)=(x+2)^2-2$  

•  $f(x)=(x+2)^2+2$  

What is (are) the zero(s) of the function $y=4x^2-12x+9?$  

•  $x=-\frac{3}{2},\ \frac{3}{2}$  

•  $x=2,\ 3$  

•  $x=\frac{3}{2}$  

•  $x=3$  

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A