PARCC Review: Advanced Algebra

Functions 1

100

Is the following scenario linear, exponential, quadratic, or neither? 

A pet turtle grows two inches per year

Linear

200

Is the following scenario linear, exponential, quadratic, or neither? 

A new ring depreciates in value by 10% per year

Exponential

300

Is the following scenario linear, exponential, quadratic, or neither? 

A sales associate earns 5% commission on sales

Neither

400

Write a function representing the current value:

A house is purchased for 200,000 and appreciates in value by 5% per year.

f(x)=200,000(1.05)^x

500

Write a function representing the current value:

A car is purchased for 18,000 and depreciates in value by 8% per year. 

f(x)=18,000(.92)^x

Equations

100

Name the slope in the equation: y = 15x + 179

15

200

Solve the equation for x: 5x + 10 = 15

x = 1

300

What is the equation, in simplified form, that will give the perimeter of a rectangle that has a length of 3x and a width of x?

p = 8x

400

At the amusement park, entry is $25 and each ride costs an additional $2. Give the equation that would give you the final cost based on number of rides.

c = 2r + 25

500

Solve for x: 2x + 6 = 3x - 8

x = 14

Inequalities

100

Solve the following inequality: x + 17 < 28

x < 11

200

Solve the following inequality: 27 > z - 33

z < 60 (or 60 > z)

300

Solve the following inequality: -3x - 5 < 46

x > -17

400

Solve the following inequality: 5x + 4 > 2x + 61

x > 19

500

Solve the following inequality: -5(x - 14) > 50

x < 4

Working with Expressions

100

Simplify: (3x² - 2x) - (4x² - 3x)

-x² + x

200

Simplify by using the distributive property: -3x(2x - 6)

-6x² + 18x

300

Write an expression representing the following scenario: 5 more than twice a number 

2n + 5

400

Ashley & Jonathan compared their bowling scores. Jonathan's score was 109 points greater than Madison's. What expression represents Madison's score in relation to Jonathan's? a) J - 109 b) 109 + J c) m + J = 109

a) J - 109

500

Give the expression that correctly applies the distributive property to a(b + c)

ab + ac

Functions 2

100

What type of function (linear, exponential, or quadratic) reflects this sequence: 3, 6, 9, 12, 15... ?

Linear

200

What type of function (linear, exponential, or quadratic) reflects this sequence: 2, 4, 8, 16, 32... ?

Exponential

300

What type of function (linear, exponential, or quadratic) is modeled by a parabola?

Quadratic

400

What type of function (linear, exponential, or quadratic) models a football being thrown?

Quadratic

500

What are the zeroes (x-intercepts) of the following quadratic function?

(x+3)(2x-2)=0

x=-3 and x=1

[or (-3,0) and (1,0)]