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Review
Solving Systems by
Other
Absolute Value
Systems
100
Evaluate the expression for z=15 z-12=???
What is 3
100
Solve using substitution. x=-2 2x+7y=18 ( , )
What is (-2,-2)
100
Solve for n. n–19>0 or n–12≤-7
What is n>19 or n≤5
100
Solve for b. -6|b| = 0
What is b=0
100
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Nina and Kim are making presentations for a class project. Nina's slideshow starts with a verbal introduction that is 11 seconds long, and then each slide is left up for 7 seconds. Kim leaves each slide onscreen for 8 seconds, and her introduction lasts 7 seconds. Nina and Kim notice that their presentations have both the same number of slides and the same duration. How long is each presentation? How many slides are in each presentation?
What is each presentation is 39 seconds long and has 4 slides.
200
Evaluate the expression for v=9 -v-9=???
What is -18
200
Solve using substitution. x=1 4x-4y=-20 ( , )
What is (1,6)
200
Solve for s. s–11≥-7 or s+18<10
What is s≥4 or s<-8
200
Solve for u. |u| – 1 = 8
What is b=9 or -9
200
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Two workers in a holiday boutique are filling stockings with small gifts and candy. Maria has already filled 8 stockings and will continue to fill them at a rate of 1 stocking per hour. Ken, who just arrived to help, can fill 2 stockings per hour. At some point, Ken will catch up with Maria and they will have completed the same number of stockings. How many stockings will each worker have filled by then? How long will that take?
What is the workers will each have filled 16 stockings in 8 hours.
300
Evaluate the expression for x=-15 18+x=???
What is 3
300
4x+2y=-18 x=-6 ( , )
What is (-6,3)
300
Solve for d. -14≤d+4<11
What is -18≤d<7
300
Solve for f. 2 = |-2f|
What is b=1 or -1
300
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Neil just got his commercial driver's license and is starting a new career as a truck driver. Getting trained and licensed involved a one-time cost of $425. Gas and insurance end up costing him $1 per mile. For his first delivery, Neil will get paid $385 plus $5 per mile that he drives. If he drives a certain distance on this delivery, Neil will break even, making back all the money he had to spend. How much would both the costs and the earnings be? What distance would he have to drive?
What is the costs and the earnings would both be $435 if Neil drives 10 miles.
400
Simplify the expression: -4+(d+-5)=???
What is d-9
400
Solve the systems of equations using elimination. -x+y-z=12 -2x-3y+z=17 -x+2y+z=-10
What is (-7,-4,-9)
400
Solve for y. 13≥y–5≥-19
What is 18≥y≥-14
400
Solve for y. |-y| = 7
What is b=-7 or 7
400
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Brenda, a caterer, is investing some money in equipment and employees to help grow her business. Recently she spent $47 on equipment and hired a server who makes $15 per hour. Brenda is hoping to make up these expense at the next job that is scheduled, which pays a base of $49 in addition to $14 per hour that the server works. In theory, this event could pay enough to cancel out Brenda's expenditures. How much would the job pay? How long would the job have to be?
What is the expenditures and pay would both be $77 if the job lasted for 2 hours.
500
Simplify the expression: -3+(-2+n)=???
What is n-5
500
Solve the system of equations by elimination. 2x+3y–z=19 -x–3y–z=-8 -2x+3y–z=-17
What is (9,0,-1)
500
Solve for t. t–18>-3 or t–5<0
What is t>15 or t<5
500
Solve for v. |2v|>8
What is v<-4 or v>4
500
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. A daycare center in Stamford currently has 4 assistant caregivers and 9 senior caregivers. Since demand is high, the owner is going to be hiring 2 assistant caregivers per month and 1 senior caregiver per month. Her goal is to have a larger staff, including an equal number of assistant caregivers and senior caregivers. How many of each type will there be? How long will that take?
What is there will be 14 of each type of caregiver in 5 months.