ACT Math · Algebra
Systems of equations practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 8A parking garage charges a flat entry fee plus an hourly rate. Three hours of parking costs $18, and one hour costs $1 more than…
- Question 14A store sells notebooks for $3 each and pens for $2 each. A customer buys a combination of notebooks and pens totaling 10 items…
- Question 48Solve the system by elimination: 4x + 3y = 25 and 2x - 3y = -1. What is the value of x + y?
- Question 54A system is given by x+y+z=6, 2x-y+z=3, and x+2y-z=2. What is the value of z?
- Question 94How many solutions does the system 2x + 3y = 6 and 4x + 6y = 18 have?
- Question 98Solve the system: 1/2x + 1/3y = 5 and x - y = 3. What is the value of y?
- Question 136A jar contains 20 coins, all dimes and quarters, worth a total of $3.65. How many quarters are in the jar?
- Question 182A theater sells adult tickets for $12 and child tickets for $7. If 150 tickets were sold for a total of $1,425, how many adult…
- Question 224Solve the system: 3x + 2y = 16 and x + 4y = 22. What is the value of x?
- Question 233Two shipping plans are described by y = 5x + 20 and y = 5x + 35, where x is the number of packages and y is the total cost. How…