Rational/Irrational
and Square Roots
and Square Roots
Equations
Inequalities
Writing Linear Equations
Functions/ Exponentials
100
Is the number rational or irrational? Explain.
5.65478346…
Irrational. It is a non-repeating, non-terminating decimal.
100
Solve 3(x+2)=5x+8
x= -1
100
Solve
2x+5<=17
x<=6
100
Find the slope of the line that passes through the points (-3, 8) and (2, 5)
m=-3/5
100
Given the function f(x)=-2x+7, evaluate f(-9).
f(-9)=25
200
Is the number rational or irrational? Explain.
sqrt36
Rational. It is a perfect square which will result in an integer.
200
Solve
(2x-1)/4=(x+1)/3
x=7/2
200
Solve
-8<=2x+4<0
-6<=x<-2
200
Write an equation in slope intercept form for the graph shown.
y=4/3x-4
200
Given the exponential function, what is the rate (%) of decrease?
f(x)=100(0.86)^t
14%
300
Is the number rational or irrational? Explain.
7.bar5
Rational. It is a repeating decimal.
300
Solve
1/2(x-3)+4=4(x+2)-9
x=1
300
Solve
4(x+3)-2>2(x+1)+8
x> -2
300
Write an equation in slope-intercept form for a line that passes through the point (2, -3) and has a slope of -5.
y=-5x+7
300
Identify if the graph shown represents a function and then identify the domain and range.
Yes this is a function
Domain: (-∞, ∞)
Range: [-4, ∞)
400
Simplify
sqrt40
2sqrt10
400
Stacey is renting a car. The company charges $150 plus an additional $0.55 per mile driven. If her total cost was $348, how many miles did she travel?
Write and solve an equation.
150+0.55x=348
She drove 360 miles.
400
James had $1500 in his bank account. He needs to take out $45 each month to pay his cell phone bill. He wants to keep a balance in his account of no less than $300. For how many weeks will James be able to take money out for his cell phone bill?
Write and solve an inequality.
1500-45x>=300
x<=26.7
James can take out money for his cell phone bill 26 weeks or less.
400
Write an equation in standard form for a line that passes through (7, 1) and (8, 5).
4x-y=27
400
The yearly profit of Donna’s Donut Shoppe are $40,000. If the profits decrease by 3.6% each year, what will the profits be in 10 years? (Round to the nearest whole number)
$27,722
500
Simplify
9sqrt98
63sqrt2
500
The river rose during a heavy rain and was at 43 feet on Friday. The report says that it will start to drop at a rate of 3 feet per day. How many days will it take for the river to reach 19 feet?
Write and solve an equation.
43-3x=19
8 days
500
Burger Bob’s is running a special on burgers. Plain cheeseburgers are $3 and each additional topping is $0.75. If Jane has $10, and she wants to get a drink that costs $2.25, what is the maximum number of toppings she can get on her burger?
Write and solve an inequality.
2.25+3+0.75x<=10
x<=6.3
Jane can get a maximum of 6 toppings
500
Jaime bought a car for $21,500. By the end of three years, the car was worth $16,400. Write an equation in slope-intercept form to represent the value of the car, y, after x years.
y=-1700x+21500
500
The population of Warrick was was $62,400 people in 2015. The population is expected to increase about 2.1% each year. What would the population be in 2027? (Round to the nearest whole number.
80,074