Linear Expression and Equations
Basic Applications
Formulas and Applications
Linear Inequalities and Absolute Value
Equation of Line and Graphs
100
Evaluate the expression when n = −4.
n2 - 5n + 2
38
100
Translate the sentence into an equation. The sum of 3 times a number and 5 is 9.
Use the variable y for the unknown number.
3y + 5 = 9
100
For a ride on a rental scooter, Carlos paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Carlos's ride was $12.68.
For how many minutes did Carlos ride the scooter?
88 minutes
100
Graph the set {x | −5 < x ≤ −2} on a number line.
Then, write the set using interval notation.
<-----○=====●------>
-5 -2
{x | −5 < x ≤ −2} = (-5, -2]
100
Find the y -intercept and x -intercept of the line.
x - 3y = 6
y-intercept: −2
x-intercept: 6
200
Solve for x.
3x/4 - 3 = 7x/10
x = 60
200
Translate the sentence into an equation. Four times the sum of a number and 3 is equal to 2.
Use the variable b for the unknown number.
4(b + 3) = 2
200
Solve for s.
-6 = -10r + 12s
s = (-6 + 10r)/12
200
Solve the inequality for v.
−16 ≥ −7 + (9/8)v
Simplify your answer as much as possible.
-8 ≥ v or v ≤ -8
200
The equation of a line is given below.
x - 2y = 4
Find the x-intercept and the y-intercept.
Then use them to graph the line.
x-intercept: 4
y-intercept: −2
300
Solve for w.
-4.75 = w/7 + 4
w = -61.25
300
On Wednesday, a local hamburger shop sold a combined total of 404 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
101 hamburgers
300
In a triangle suppose that m∠V = (x - 4)°, m∠W = (x - 4)°, and m∠X = (5x + 6)°. Find the degree measure of each angle in the triangle.
m∠V = 22°
m∠W = 22°
m∠X = 136°
300
Choose the statement that describes its solution.
If applicable, give the solution.
2(7 - v) + 2v ≥ 11
(1.) No Solution
(2.) v = __
(3.) All Real Numbers are Solutions
All Real Numbers are Solutions
300
Find the slope of the line passing through the points
(7, 5) and (-7, 9).
Undefined
400
(-1/3)x - 3/4 = -3/8
x = -9/8
400
Nicole, Alonzo, and Tony served a total of 86 orders Monday at the school cafeteria. Tony served 2 times as many orders as Alonzo. Nicole served 6 fewer orders than Alonzo. How many orders did they each serve?
Number of orders Nicole served: 17
Number of orders Alonzo served: 23
Number of orders Tony served: 46
400
Keiko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 10 hours. When Keiko drove home, there was no traffic, and the trip only took 7 hours. If her average rate was 18 miles per hour faster on the trip home, how far away does Keiko live from the mountains?
Do not do any rounding.
420 miles.
400
Solve for u.
|4u + 2|=10
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
u = 2, -3
400
The equations of three lines are given below.
Line 1: 2y = -3x + 7
Line 2: y = (-3/2)x - 6
Line 3: 4x - 6y = -4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
(1.) Line 1 and Line 2:
(2.) Line 1 and Line 3:
(3.) Line 2 and Line 3:
(1.) Parallel
(2.) Perpendicular
(3.) Perpendicular
500
Solve for w.
3w - 5/3 = (-4/5)w - 7/5
w = 4/57
500
Latoya deposits $2000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 2 years?
The answer is $120.
500
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 90 miles per hour. The westbound train travels at 80 miles per hour.
How long will it take for the two trains to be 238 miles apart?
1.4 hours
500
Solve for v.
|2v + 5| −7 = −22
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
=v
No solution
No Solution
500
Find an equation for the line that passes through the points:
(-1, -4) and (-5, 2).
y = (-3/2)x - 11/2 OR
y + 4 = (-3/2)(x+1) OR
3x + 2y = -11