9th grade Atlas Practice

Linear Equations and Inequalities

100

18x-8>4x+8

x>8/7

200

Amelia is entering an amusement park. The entrance fee is $12.50, and each ride costs $1.29. Amelia wants to spend at most $35. 

Create an inequality to determine r, the number of rides Amelia could go on.

12.50+1.29r<=35

300

An equation is shown. 

y=2x

The value of x is increased by 4. What is the increase in y?

y=8

400

Solve this equation

2(x+10) =1/2(4x+16)

No Solution

500

2x+5<x-10

x<-15

Exponential

100

x³=125

x=5

200

Jessie has two savings accounts. The amount of money, in dollars, in each account after t years is modeled by the functions shown. 

L(t)=350(1.0045)^t

M(t)=350(1.0021)^4t

Create a function to model the total amount of money, in dollars, that Jessie will have in both accounts after t years.  

P(t)=350(1.0045)^t +350(1.0021)^4t

300

A biologist studies the growth of a type of moss. The moss covers an area of 10 square centimeters. He estimates that the area the moss covers will double every year.

 Create an inequality that can be used to find the number of years, x, it will take for the moss to cover at least 500 square centimeters based on the biologist's estimate.

10*2^x >=500

400

Which situation represents exponential growth?

 A. the height of a ball bounced over time 

B. the total count of bacteria when the amount doubles daily 

C. the distance traveled by a car moving at a constant speed

 D. the amount of money in an account with the same amount deposited monthly

B

500

What is an exponential equation?

 an equation with exponents where the exponent (or) a part of the exponent is a variable.

Polynomial Expressions

100

An expression is shown. 

(5r+6) (3r-2) +(2r+10)

Enter an equivalent expression using the fewest number of terms possible

15r²+10r-2

200

Write an equivalent expression

(5x²+13.2x-15) +(4.8x-7.7)

5x²+18x-22.7

300

Solve

2x(x-8) +6(x-8)

2x²+22x-48

400

(3x²-5x-1) -(2x²+3x+2)

x² -8x-3

500

2(x²+3x-15)- (x²+4x+10)

x²+10x-20

Factoring

100

Factor this expression

(2x²-4x-16)

2(x²-2x-8) or (2x+4) (x-4) or 2(x+2) (x-4)

200

3x²+13x-10

(x+5)(3x-2)

300

4x²-15x+9

(4x-3)(x-3)

400

(x²+5x+6)

(x+2) (x+3)

500

x²-9x+20

(x-5) (x-4)

Random

100

As increases, which one of these functions will have the greatest -values?

A. y=2   B. y=2^x   C. y=x²    D. y=2x

B. y=2^x

200

Which function will be the largest for very large values of X?

A. f(x)=3^x   B. f(x)= 20x⁴     C. f(x)= 200x                D. f(x)=1/2x⁵+1000

A

300

What is the slope of the line with points

(2,0) and (3,6)

m=6

400

Solve 

x²=49

x= 7 and -7

500

Solve

x³= 8

x=2