Pre-Calc Chapter 3 Review Altoona

Write 1 + 2 + 3 + ... + 10

using sigma notation

• $\sum_{d=1}^9d$

• $\sum_{d=1}^{10}d+1$

• $\sum_{d=1}^{10}d$

Tags

CCSS.HSF.BF.A.2

Write 1 + 4 + 9 + ... + 49

using sigma notation

• $\sum_{k=1}^7k^2$

• $\sum_{k=1}^8k^2$

• $\sum_{k=1}^{49}k^2$

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the inverse function of  $y=\left(x-4\right)^2+3$  

•  $y=\sqrt{x-3}+4$  

•  $y=\sqrt{x+3}-4$  

•  $y=\sqrt{x-3+4}$  

•  $y=\sqrt{3x+1}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse function of  $f\left(x\right)=\sqrt{x}-6$  

•  $y=\left(x+6\right)^2$  

•  $y=\left(x-6\right)^2$  

•  $y=x^2+6$  

•  $y=x^2+36$  

Tags

CCSS.HSF-BF.B.4A

To which intervals could we restrict the domain of f(x) to make it an invertible function? Choose all answers that apply.

• -4 ≤ x ≤ 4

• x ≥ 0

• x ≤ 0

• none of the above

Tags

CCSS.HSF-BF.B.4D

Given f(x) = 3x² + 1, what is f(t + 2)?

• 3t² + 3

• (3t + 2)² + 1

• 3(t + 2)² + 1

• none of these

Tags

CCSS.HSF.IF.A.2

Perform the indicated operation and simplify:  $\frac{x^2+5x-34}{x^2-9x+8}-\frac{10}{x-8}$  

•  $\frac{x^2-5x-44}{\left(x-8\right)\left(x-1\right)}$  

•  $\frac{x^2-5x-24}{\left(x-8\right)\left(x-1\right)}$  

•  $\frac{x+6}{x-1}$  

•  $\frac{x+3}{x-1}$  

Tags

CCSS.HSA.APR.D.7

Add the rational expression.

• (6+2y^2) / (6x^2y)

• (6y) / (6xy)

• (5y)/(3xy)

• (6+2y^2) / (6xy)

Tags

CCSS.HSA.APR.D.7

Simplify: $\frac{\frac{6-y}{6}}{\frac{1}{6}-\frac{1}{y}}$  

• -y

• y

•  $-\frac{6}{y}$  

•  $-\frac{1}{y}$  

Tags

CCSS.HSA.APR.D.6

Simplify: $\frac{\frac{x}{x-1}+\frac{3}{x+5}}{\frac{5}{x+5}-\frac{x}{x-1}}$  

•  $\frac{x^2+2x+15}{-x^2-5}$  

•  $\frac{x^2+8x-3}{x^2+10x-5}$  

•  $\frac{x^2+2x+15}{x^2+10x-5}$  

•  $\frac{x^2+8x-3}{-x^2-5}$  

Tags

CCSS.HSA.APR.D.7