Algebra I Final Review

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

For the function f(x) =6(3)^x , what is the y-intercept?

• (6,0)
• (3,0)
• (0,3)
• (0, 6)

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is the graph linear, exponential or neither?

• Linear
• Exponential Growth
• Exponential Decay
• None of the Above

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Convert x²-6x+9 to factored form and identify the solution.

• (x-3)(x-3); x=3
• (x+3)(x+3); x=-3
• (x+4)(x+2); x=-4, -2
• Not factorable

What is the range of the function?

• R:{y is less than or equal to 3}
• R:{y is greater than or equal to 3}
• R:{all real numbers}
• R:{y is between and including -6 and 3}

Identify the growth/decay factor of the function y=2(4)^x.

• 2
• 4
• (2)^x
• 8

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5
• $10
• $15
• $20

Tags

CCSS.8.EE.C.8C

The amount of bacteria in a dish can be described with the equation y = 450(.42)^x

How much bacteria will there be after 6 hours?

• 450

• 1.843

• 2.470

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B