1st Semester Review Algebra 2

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)

• 16x² + 8x - 3
• 16x² - 8x + 3
• 16x² - 8x - 3
• 16x² - 16x - 3

Tags

CCSS.HSA.APR.A.1

What is f when x equals 0?

• -5
• 0
• 1/2
• 1

Using the pictured graph, what is f(-3)? 

• -3
• -1
• 1
• 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

Which piecewise function corresponds to this graph? (Take your time)

• f(x) = { x  if x < 4;   -x+1  if x ≥ 4
• f(x) = { x  if x ≤ 4;  -x+1  if x > 4
• f(x) = { -x+1  if x < 4;  x  if x ≥ 4
• f(x) = { -x+1  if x ≤ 4;  x if x > 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)
• (1,3)
• (-3,1)
• (3,-1)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

A passenger plane left New York and flew toward Las Vegas at an average speed of 217 km/h. A cargo plane left four hours later and flew in the same direction but

with an average speed of 341 km/h. How

long did the passenger plane fly before the

cargo plane caught up?

• 11

• 19

• 18

• 9

How many pounds of nuts costing $2.50 per pound should be mixed with 2 pounds of nuts costing $4.50 per pound to obtain a mixture costing $3.00 per pound?

• 6 lb

• 15 lb

• 2 lb

• 1.5 lb