Algebra 1 - 2nd Nine Weeks Benchmark Study Guide

Find the average rate of change of  $f\left(x\right)=3x-2$  
over the interval [3,5]

• 2

• 3

• 1

• -2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

A cab company charges

$7 as an initial fee for a trip, in addition to the meter fee of $2 for each mile traveled. Write an explicit expression represents this situation?

• $2x+7$

• $7x+2$

• $7x-2$

• $2x-7$

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The first term in this sequence is -2. Write a function that represents a recursive definition of the sequence.

• $a_n=a_{n_{-1}}+2$

• $a_n=a_{n_{-1}}+1$

• $a_n=a_{n_{-1}}+3$

• $a_n=2a_{n_{-1}}-3$

Tags

CCSS.HSF.IF.A.3

Write the explicit definition for the table of values below that could represent a partial sequence described the relation.

• $3n-2$

• $3n+1$

• $3n-5$

• $3n+4$

Tags

CCSS.HSF.BF.A.2

 $\left(3x^3+2x^2-7\right)+\left(4x^2+6\right)$  Find the sum of the two polynomials:

•  $3x^3+5x^4-1$  

•  $5x^5+2x^2-1$  

•  $3x^3-2x^2-13$  

•  $3x^3+6x^2-1$  

Tags

CCSS.HSA.APR.A.1

Find the difference between the two polynomials:
 $\left(5x^3-4x+6\right)-\left(3x^3-3x+2\right)$  

•  $2x^3-x+4$  

•  $2x^3-7x+8$  

•  $8x^3-7x+8$  

•  $2x^3-x+8$  

Tags

CCSS.HSA.APR.A.1

 $\left(x+2\right)\left(-3x+7\right)$  Multiply the binomials:

•  $-3x^2+14$  

•  $-3x^2+13x+14$  

•  $-3x^2+x+14$  

•  $-2x+14$  

Tags

CCSS.HSA.APR.A.1

Solve the equation by taking the square roots, difference of squares, or quadratic formula.
 $p^2+6=42$  

•  $\left\{0\right\}$  

•  $\left\{4\sqrt{3},\ -4\sqrt{3}\right\}$  

•  $\left\{7,-7\right\}$  

•  $\left\{6,-6\right\}$  

Tags

CCSS.HSA-REI.B.4B

What value needs to be placed in the blank to complete the square?

 $x^2+8x+_{ }$  _______

•  $4$  

•  $16$  

•  $-4$  

•  $-16$  

Tags

CCSS.HSA-REI.B.4B

Solve an equation by factoring, completing the square, or quadratic formula.

 $m^2-4m-23=-7$  

•  $\left\{4,-4\right\}$  

•  $\left\{2+2\sqrt{5},\ 2-2\sqrt{5}\right\}$  

•  $\left\{4,16\right\}$  

•  $\left\{-2+2\sqrt{5},\ -2-2\sqrt{5}\right\}$  

Tags

CCSS.HSA-REI.B.4B