TN Ready Algebra 1 Review

Which value(s) of x make f(x) = g(x)?

• x = 4 and x = 5

• x = 2 and x = 6

• x = 3 and x = 7

• x = 1 and x = 7

Which equation has roots of  $\pm$  3?

•  $\left(x-3\right)^2=0$  

•  $\left(x+3\right)^2=0^2$  

•  $\left(x-0\right)^2=3$  

•  $\left(x+0\right)^2=3^2$  

Which equation has the same solutions as  $\left(x-5\right)^2=9$  ?

•  $x^2-25=9$  

•  $x^2-5x+16=0$  

•  $x^2-10x-16=0$  

•  $x^2-10x+16=0$  

Consider the linear equation.
 $2ax+3b=-4ax-9b$  
If the solution is  $x=-1$  , which statement is true about a and b?

•  $a=b$  

•  $a=2b$  

•  $a=\frac{b}{2}$  

•  $a=6b$  

A town is expanding the size of a square athletic field. The equation shown determines the building cost, y, in dollars, for every foot, x, added to the width of the athletic field.
 $y=\left(110.25\right)x^2$  
Which equation shows an equivalent equation rearranged to determine x in terms of y?

•  $x=10.5\sqrt{y}$  

•  $x=\frac{110.25}{\sqrt{y}}$  

•  $x=\frac{\sqrt{y}}{10.5}$  

•  $x=110.25\sqrt{y}$  

Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat fee and then $12 per hour for the rental.

If Larissa has $45 to spend, what is the greatest number of full hours she can rent the bicycle?

• 1

• 2

• 3

• 4

Jackson paints murals on walls. In order to paint one of his murals, he needs a rectangular area that is at least 4 feet wide and 3 feet high. The width and height have to increase by the same amount of feet, x.

Which equation represents all the possible areas for the rectangular murals?

• $A=x^2+7x+12$ , where x is any real number

• $A=x^2+7x+12$ , where x is any nonnegative real number

• $A=2x+7$ , where x is any real number

• $A=2x+7$ , where x is any nonnegative real number

A polynomial function contains the factors x, x - 3, and x + 1.

Which graphs could represent the polynomial function?

Select ALL that apply.

• 
• 
• 
• 
• 

The spray of a fountain has a height, in feet, that can be modeled by the polynomial expression  $-x^2+14x-33$  .
Which statement about the height of the spray is true?

• The expression  $-\left(x-7\right)^2+16$  reveals a maximum height of 7 feet.

• The expression  $-\left(x-7\right)^2+16$   reveals a maximum height of 16 feet.

• The expression  $-\left(x-7\right)^2-16$  reveals a maximum height of 7 feet.

• The expression  $-\left(x-7\right)^2-16$  reveals a maximum height of 16 feet.

Which functions represent exponential decay? Select ALL that apply.

• $f\left(x\right)=\left(0.2\right)^x$

• $f\left(x\right)=0.2\left(2\right)^x$

• $f\left(x\right)=\left(2\right)^x$

• $f\left(x\right)=2\left(0.2\right)^x$

• $f\left(x\right)=2\left(2\right)^x$