Algebra, Cumulative Exam 86%
Shannon graphed the system of equations.7x - 4y= -8y = x - 3What is the closest approximate solution to the system of equations?(-5, -7.2)(-5, -6.8)(-5, -6.2)(-5, -5.9) : (-5, -7.2)
Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?354263105 : 63
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.Which word describes the slope of the line representing the data in the table?zeroundefinednegativepositive : negative
The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved for k, to determine the answers to her homework.Which equation should she use?k = 2Px2k = Px2k =k = : c
Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together? : a
Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.3x + 2y = 36.502x + 5y = 50.00At which job does Percy earn the greater hourly wage? How much does Percy earn each hour at this job?Percy earns a greater hourly wage of $7.00 at the library.Percy earns a greater hourly wage of $7.00 at the coffee cart.Percy earns a greater hourly wage of $7.50 at the library.Percy earns a greater hourly wage of $7.50 at the coffee cart. : Percy earns a greater hourly wage of $7.50 at the library.
The inverse of the function f(x) = is shown.h(x) = 2x-What is the missing value?151020 : 20
An electrician is hired to install a ceiling fan. She estimates that the installation will take no more than 45 minutes if the house is up to building code. If the house is not up to building code, she estimates that the installation will take longer than 120 minutes. Which graph represents the number of minutes it could take her to install the fan? : c
Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets? : a
Hiroto solved the equation 6 - 4|2x - 8| = -10 for one solution. His work is shown below.6 - 4|2x - 8| = -10-4|2x - 8| = -16|2x - 8| = 42x - 8 = 42x = 12x = 6What is the other solution?-6-4210 : 2
What is the solution to -2(8x - 4) < 2x + 5?x >x <x > 6x < 6 : a
What is the inverse of the function f(x) = 4x + 8?h(x) = x - 2h(x) = x + 2h(x) = x - 2h(x) = x + 2 : a
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.Dance World: y = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?1015100150 : 10
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?9 feet18 feet30 feet33 feet : 9 feet
When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n?n = 18n = 20n = 21n = 23 : n = 20
Which is the graph of linear inequality x - 2y ≥ -12? : a
Using a stopwatch, Tyrone determines it takes him 58.2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?1 mile = 5,280 feet19.8 feet per second19.84 feet per second45.3 feet per second45.36 feet per second : 45.36 feet per second
The table represents a function.What is the value of f(-1)? : c