Review for Exam

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3
• y = 1⁄3 (3)^x ; a = 3
• y = 3 (1/3)^x ; a = 1⁄3
• y = 3 (1/3)^x ; a = 3

Tags

CCSS.HSF.LE.A.2

Write an exponential function to model the situation. Solve.
2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

• C(t) = 12000(1.06)^t ; $3149.72
• C(t) = 12000(.06)^t ; $3149.72
• C(t) = 12000(.06)^t ; $1472.95
• C(t) = 12000(1.06)^t ; $15149.72

Tags

CCSS.HSF.LE.A.2

Write an exponential function to model the situation. Solve.
6) The value of a car is $18000 and is depreciating at a rate of 12% per year. What will the value of the car be after 10 years?

• V(t) = 18000(.88)^t ; $12986.98
• V(t) = 18000(.12)^t ; $12986.98
• V(t) = 18000(.88)^t ; $5013.02
• V(t) = 18000(.12)^t ; $5013.02

Tags

CCSS.HSF.LE.A.2

What is the equation of the graph shown, and what is the y-intercept?

• y = -4 (2)^x ; a = 4
• y = 2 (4)^x ; a = 2
• y = -2 (4)^x ; a = 4
• y = -2 (4)^x ; a = -2

Tags

CCSS.HSF.LE.A.2

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8
• 4
• 2
• Cannot be determined

Tags

CCSS.8.EE.A.1

Solve 8 = 2^5x+7

• x = ⅘
• x = ¼
• x = -⅘
• x = -¼

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand.

• log x + 5 log y
• 5 log x + 5 log y
• 5 log x - log y
• log x - 5 log y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense.

• log₂x²y¹⁰
• log₂x²+log₂y¹⁰
• log₂x²/y¹⁰
• log₂10xy

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044

Tags

CCSS.HSF.LE.A.4